TY  - CONF
AU  - Nikolić, Maria Vesna
AU  - Mastilović, Sreten
PY  - 2023
UR  - https://ieeexplore.ieee.org/document/10168374
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2022
AB  - In this work we have established a mathematical function to model the influence of the ambient temperature, relative humidity and frequency on the change of impedance. The proposed empirical description is a combination of the power function (modeling the temperature effect) and a reverse-sigmoid function inspired by the three-parameter Weibull cumulative distribution function (modeling the relative humidity and frequency effects). This empirical model was validated by using our iron manganite (FeMnO3) thick film measurement data. The reduction of impedance of thick film samples with change in relative humidity in the range 30-90% was measured in a temperature and climatic chamber in the frequency range 42 Hz – 1 MHz at three ambient/working temperatures (25, 50 and 75 C). The obtained experimental data was successfully fitted using the specially tailored empirical model. Application of this model enables prediction of the iron manganite sensor performance for different temperatures both within the confines of the analyzed temperature range (interpolation) and outside of it (extrapolation). Future development will include applying this model to analyzing the temperature influence on relative humidity sensing for other metal oxide sensing materials that have shown a similar dependence and in a wider ambient temperature range.
PB  - IEEE
C3  - Proceedings of the 46th International Spring Seminar on Electronics Technology (ISSE), May 10-14, 2023,Timisoara, Romania
T1  - Modeling the effect of temperature on relative humidity sensing
SP  - 1-6
DO  - 10.1109/ISSE57496.2023.10168734
ER  - 

@conference{
author = "Nikolić, Maria Vesna and Mastilović, Sreten",
year = "2023",
abstract = "In this work we have established a mathematical function to model the influence of the ambient temperature, relative humidity and frequency on the change of impedance. The proposed empirical description is a combination of the power function (modeling the temperature effect) and a reverse-sigmoid function inspired by the three-parameter Weibull cumulative distribution function (modeling the relative humidity and frequency effects). This empirical model was validated by using our iron manganite (FeMnO3) thick film measurement data. The reduction of impedance of thick film samples with change in relative humidity in the range 30-90% was measured in a temperature and climatic chamber in the frequency range 42 Hz – 1 MHz at three ambient/working temperatures (25, 50 and 75 C). The obtained experimental data was successfully fitted using the specially tailored empirical model. Application of this model enables prediction of the iron manganite sensor performance for different temperatures both within the confines of the analyzed temperature range (interpolation) and outside of it (extrapolation). Future development will include applying this model to analyzing the temperature influence on relative humidity sensing for other metal oxide sensing materials that have shown a similar dependence and in a wider ambient temperature range.",
publisher = "IEEE",
journal = "Proceedings of the 46th International Spring Seminar on Electronics Technology (ISSE), May 10-14, 2023,Timisoara, Romania",
title = "Modeling the effect of temperature on relative humidity sensing",
pages = "1-6",
doi = "10.1109/ISSE57496.2023.10168734"
}

Nikolić, M. V.,& Mastilović, S.. (2023). Modeling the effect of temperature on relative humidity sensing. in Proceedings of the 46th International Spring Seminar on Electronics Technology (ISSE), May 10-14, 2023,Timisoara, Romania
IEEE., 1-6.
https://doi.org/10.1109/ISSE57496.2023.10168734

Nikolić MV, Mastilović S. Modeling the effect of temperature on relative humidity sensing. in Proceedings of the 46th International Spring Seminar on Electronics Technology (ISSE), May 10-14, 2023,Timisoara, Romania. 2023;:1-6.
doi:10.1109/ISSE57496.2023.10168734 .

Nikolić, Maria Vesna, Mastilović, Sreten, "Modeling the effect of temperature on relative humidity sensing" in Proceedings of the 46th International Spring Seminar on Electronics Technology (ISSE), May 10-14, 2023,Timisoara, Romania (2023):1-6,
https://doi.org/10.1109/ISSE57496.2023.10168734 . .

TY  - JOUR
AU  - Djordjević, Branislav
AU  - Mastilović, Sreten
AU  - Sedmak, Aleksandar
AU  - Dimic, Aleksandar
AU  - Kljajin, Milan
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2199
AB  - The phenomenon of ductile-to-brittle transition in ferritic steels has been a ubiquitous research challenge
for the last 50 years. The characterization of this problem using the fracture mechanics concept, from the
earliest studies based on the linear-elastic fracture mechanics to the application of the elastic-plastic
fracture mechanics, has become inevitable over time. The fracture toughness is not an intrinsic material
property but depends on geometrical factors (such as the specimen shape, thickness, and surface
roughness), defect type and distribution, loading mode, and environmental conditions. The pronounced
scatter of experimental data on fracture toughness, characteristic of all ferritic steels in the ductile-tobrittle
transition temperature region, necessitated the use of statistical methods for data processing. That
approach, which emerged in the 1970s, can still be found today as the basis for interpreting fracture
toughness data in ductile-to-brittle transition problems. This paper presents a brief historical overview of
such studies along with the problems that have arisen as a consequence of using fracture mechanics
concepts, such as constraint effects, as an example. In the time-honored research tradition, all the
proposed methods and models, as well as their criticisms, provided the basis for the development of new
approaches to the ductile-to-brittle characterization of ferritic steels. Specifically, these include size
effects and scaling of geometrically similar samples, with the aim of predicting material behavior beyond
experimental limits. Brief outlines of two new approaches are provided in this succinct review. The
criticisms of all presented methods are oriented mostly on the application domain, as well as their
capability to predict fracture toughness, with short overview of their most conspicuous advantages and
disadvantages.
PB  - Elsevier
T2  - Engineering Fracture Mechanics
T1  - Ductile-to brittle transition of ferritic steels: A historical sketch and some recent trends
IS  - 109716
VL  - 293
DO  - 10.1016/j.engfracmech.2023.109716
ER  - 

@article{
author = "Djordjević, Branislav and Mastilović, Sreten and Sedmak, Aleksandar and Dimic, Aleksandar and Kljajin, Milan",
year = "2023",
abstract = "The phenomenon of ductile-to-brittle transition in ferritic steels has been a ubiquitous research challenge
for the last 50 years. The characterization of this problem using the fracture mechanics concept, from the
earliest studies based on the linear-elastic fracture mechanics to the application of the elastic-plastic
fracture mechanics, has become inevitable over time. The fracture toughness is not an intrinsic material
property but depends on geometrical factors (such as the specimen shape, thickness, and surface
roughness), defect type and distribution, loading mode, and environmental conditions. The pronounced
scatter of experimental data on fracture toughness, characteristic of all ferritic steels in the ductile-tobrittle
transition temperature region, necessitated the use of statistical methods for data processing. That
approach, which emerged in the 1970s, can still be found today as the basis for interpreting fracture
toughness data in ductile-to-brittle transition problems. This paper presents a brief historical overview of
such studies along with the problems that have arisen as a consequence of using fracture mechanics
concepts, such as constraint effects, as an example. In the time-honored research tradition, all the
proposed methods and models, as well as their criticisms, provided the basis for the development of new
approaches to the ductile-to-brittle characterization of ferritic steels. Specifically, these include size
effects and scaling of geometrically similar samples, with the aim of predicting material behavior beyond
experimental limits. Brief outlines of two new approaches are provided in this succinct review. The
criticisms of all presented methods are oriented mostly on the application domain, as well as their
capability to predict fracture toughness, with short overview of their most conspicuous advantages and
disadvantages.",
publisher = "Elsevier",
journal = "Engineering Fracture Mechanics",
title = "Ductile-to brittle transition of ferritic steels: A historical sketch and some recent trends",
number = "109716",
volume = "293",
doi = "10.1016/j.engfracmech.2023.109716"
}

Djordjević, B., Mastilović, S., Sedmak, A., Dimic, A.,& Kljajin, M.. (2023). Ductile-to brittle transition of ferritic steels: A historical sketch and some recent trends. in Engineering Fracture Mechanics
Elsevier., 293(109716).
https://doi.org/10.1016/j.engfracmech.2023.109716

Djordjević B, Mastilović S, Sedmak A, Dimic A, Kljajin M. Ductile-to brittle transition of ferritic steels: A historical sketch and some recent trends. in Engineering Fracture Mechanics. 2023;293(109716).
doi:10.1016/j.engfracmech.2023.109716 .

Djordjević, Branislav, Mastilović, Sreten, Sedmak, Aleksandar, Dimic, Aleksandar, Kljajin, Milan, "Ductile-to brittle transition of ferritic steels: A historical sketch and some recent trends" in Engineering Fracture Mechanics, 293, no. 109716 (2023),
https://doi.org/10.1016/j.engfracmech.2023.109716 . .

TY  - CONF
AU  - Djordjević, Branislav
AU  - Mastilović, Sreten
AU  - Petrovski, Blagoj
AU  - Sedmak, Aleksandar
AU  - Dimic, Aleksandar
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2144
AB  - In this paper is presented the 1-point method for material behaviour prediction, in terms of fracture toughness,
of the ferritic steel EN 1.6310 in the transition temperature regime (-60°C and -90°C). Experiments were carried
out at two different temperatures, representing two studies joined in one. Experimental testing was perfomed
according to ASTM 1820 standard. This 1-point method is based on statistical processing (of 2-parameters
Weibull statistics) of obtained experimental results, i.e. scattered J-integral values, of C(T) specimens with
different geometries. Fixing value of one Weibull parameter and taking into account size-dependence of
second one, fracture probabilities in the function of J-integral for large C(T)100 and C(T)200 were determined
based on testing of C(T)50 specimen size. This research pointed out the sensitivty of proposed method on
statistical sample size. One of the aims of proposed method was reducing the cost and price of laboratory
tests in overall by predicting material behaviour and testing smaller C(T) specimen size. This research
represents an upgrade of the Landes and Heerens works, and it is dedicated to their efforts in understanding
and characterisation of transition temperature regime of ferritic steels.
PB  - Faculty of Mechanical Engineering, University of Belgrade
C3  - The Book of Abstracts „International Conference of Experimental and Numerical Investigations and New Technologies“ CNN TECH 2023, 04 – 07 July 2023, Zlatibor, Serbia
T1  - A Method for Fracture Probability Assesment in Function of J-integral in Transition Temperature Regime of Ferritic Steel
SP  - 21
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_2144
ER  - 

@conference{
author = "Djordjević, Branislav and Mastilović, Sreten and Petrovski, Blagoj and Sedmak, Aleksandar and Dimic, Aleksandar",
year = "2023",
abstract = "In this paper is presented the 1-point method for material behaviour prediction, in terms of fracture toughness,
of the ferritic steel EN 1.6310 in the transition temperature regime (-60°C and -90°C). Experiments were carried
out at two different temperatures, representing two studies joined in one. Experimental testing was perfomed
according to ASTM 1820 standard. This 1-point method is based on statistical processing (of 2-parameters
Weibull statistics) of obtained experimental results, i.e. scattered J-integral values, of C(T) specimens with
different geometries. Fixing value of one Weibull parameter and taking into account size-dependence of
second one, fracture probabilities in the function of J-integral for large C(T)100 and C(T)200 were determined
based on testing of C(T)50 specimen size. This research pointed out the sensitivty of proposed method on
statistical sample size. One of the aims of proposed method was reducing the cost and price of laboratory
tests in overall by predicting material behaviour and testing smaller C(T) specimen size. This research
represents an upgrade of the Landes and Heerens works, and it is dedicated to their efforts in understanding
and characterisation of transition temperature regime of ferritic steels.",
publisher = "Faculty of Mechanical Engineering, University of Belgrade",
journal = "The Book of Abstracts „International Conference of Experimental and Numerical Investigations and New Technologies“ CNN TECH 2023, 04 – 07 July 2023, Zlatibor, Serbia",
title = "A Method for Fracture Probability Assesment in Function of J-integral in Transition Temperature Regime of Ferritic Steel",
pages = "21",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_2144"
}

Djordjević, B., Mastilović, S., Petrovski, B., Sedmak, A.,& Dimic, A.. (2023). A Method for Fracture Probability Assesment in Function of J-integral in Transition Temperature Regime of Ferritic Steel. in The Book of Abstracts „International Conference of Experimental and Numerical Investigations and New Technologies“ CNN TECH 2023, 04 – 07 July 2023, Zlatibor, Serbia
Faculty of Mechanical Engineering, University of Belgrade., 21.
https://hdl.handle.net/21.15107/rcub_rimsi_2144

Djordjević B, Mastilović S, Petrovski B, Sedmak A, Dimic A. A Method for Fracture Probability Assesment in Function of J-integral in Transition Temperature Regime of Ferritic Steel. in The Book of Abstracts „International Conference of Experimental and Numerical Investigations and New Technologies“ CNN TECH 2023, 04 – 07 July 2023, Zlatibor, Serbia. 2023;:21.
https://hdl.handle.net/21.15107/rcub_rimsi_2144 .

Djordjević, Branislav, Mastilović, Sreten, Petrovski, Blagoj, Sedmak, Aleksandar, Dimic, Aleksandar, "A Method for Fracture Probability Assesment in Function of J-integral in Transition Temperature Regime of Ferritic Steel" in The Book of Abstracts „International Conference of Experimental and Numerical Investigations and New Technologies“ CNN TECH 2023, 04 – 07 July 2023, Zlatibor, Serbia (2023):21,
https://hdl.handle.net/21.15107/rcub_rimsi_2144 .

TY  - CONF
AU  - Mastilović, Sreten
AU  - Djordjević, Branislav
AU  - Sedmak, Aleksandar
AU  - Kirin, Snežana
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2098
AB  - The phenomenon of ductile-to-brittle transition (DBT) in ferritic steels, widely used in design of nuclear reactor pres-sure vessels, has been a pervasive semi-centennial research topic. Due to the extremely pronounced experimental data scatter, the statistical approach to characterization of this problem has become inevitable from the earliest analyses. In the present study, the fracture toughness parameters derived from the EURO fracture toughness dataset for 22NiMoCr37 reactor steel are used with the aim to explore the utility of the recently proposed two-step-scaling method. Two widely different temperatures (-154 °C and -91 °C; belonging to the lower shelf and the DBT transition regions of fracture toughness, in respect) are selected to demon-strate the accuracy of extrapolation and interpolation of the fracture toughness CDF (cumulative distribution function) and the pertinent issues related to the method application. The fracture toughness measure used is the critical value of the stress intensity factor used in the master curve KJc (MPa√m). The obtained predictions are in good agreement with the experimental results and well within the inherent experimental data scatter. The prediction of the fracture toughness CDF obtained by extrapolation using the novel two-step-scaling method is reasonably conservative.
PB  - Society for Structural Integrity and Life
C3  - Structural Integrity and Life
T1  - Size Effect Assessment of KJc Experimental Data Using the Two-Step-Scaling Method
EP  - 110
IS  - 2
SP  - 105
VL  - 23
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_2098
ER  - 

@conference{
author = "Mastilović, Sreten and Djordjević, Branislav and Sedmak, Aleksandar and Kirin, Snežana",
year = "2023",
abstract = "The phenomenon of ductile-to-brittle transition (DBT) in ferritic steels, widely used in design of nuclear reactor pres-sure vessels, has been a pervasive semi-centennial research topic. Due to the extremely pronounced experimental data scatter, the statistical approach to characterization of this problem has become inevitable from the earliest analyses. In the present study, the fracture toughness parameters derived from the EURO fracture toughness dataset for 22NiMoCr37 reactor steel are used with the aim to explore the utility of the recently proposed two-step-scaling method. Two widely different temperatures (-154 °C and -91 °C; belonging to the lower shelf and the DBT transition regions of fracture toughness, in respect) are selected to demon-strate the accuracy of extrapolation and interpolation of the fracture toughness CDF (cumulative distribution function) and the pertinent issues related to the method application. The fracture toughness measure used is the critical value of the stress intensity factor used in the master curve KJc (MPa√m). The obtained predictions are in good agreement with the experimental results and well within the inherent experimental data scatter. The prediction of the fracture toughness CDF obtained by extrapolation using the novel two-step-scaling method is reasonably conservative.",
publisher = "Society for Structural Integrity and Life",
journal = "Structural Integrity and Life",
title = "Size Effect Assessment of KJc Experimental Data Using the Two-Step-Scaling Method",
pages = "110-105",
number = "2",
volume = "23",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_2098"
}

Mastilović, S., Djordjević, B., Sedmak, A.,& Kirin, S.. (2023). Size Effect Assessment of KJc Experimental Data Using the Two-Step-Scaling Method. in Structural Integrity and Life
Society for Structural Integrity and Life., 23(2), 105-110.
https://hdl.handle.net/21.15107/rcub_rimsi_2098

Mastilović S, Djordjević B, Sedmak A, Kirin S. Size Effect Assessment of KJc Experimental Data Using the Two-Step-Scaling Method. in Structural Integrity and Life. 2023;23(2):105-110.
https://hdl.handle.net/21.15107/rcub_rimsi_2098 .

Mastilović, Sreten, Djordjević, Branislav, Sedmak, Aleksandar, Kirin, Snežana, "Size Effect Assessment of KJc Experimental Data Using the Two-Step-Scaling Method" in Structural Integrity and Life, 23, no. 2 (2023):105-110,
https://hdl.handle.net/21.15107/rcub_rimsi_2098 .

TY  - CONF
AU  - Mastilović, Sreten
AU  - Djordjević, Branislav
AU  - sedmak, aleksandar
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2067
AB  - The fracture toughness of ferritic steels in the DTB (ductile-to-brittle) transition temperature region is a stochastic extrinsic property known for pronounced experimental data scatter that necessitates statistical approach in the DTB characterization. The novel two-step-scaling (2SS) method, proposed recently for the size effect-modeling across the DTB transition region, is developed based on the weakest-link statistics and the two-parametric Weibull distribution. Specifically, the size sensitivity of the Weibull parameters of scale and shape are built into the appropriate framework. This approach is upgraded in this article to render the comparison with the existing models more transparent. Specifically, the original 2SS method is enhanced by adding a lower limit on fracture toughness, resulting in the translated (three-parameter) Weibull cumulative distribution function. This third Weibull parameter, often dubbed the location parameter, defines a threshold value that limits the accessible fracture toughness domain. The upgraded 2SS approach is compared to two established methods of the DTB fracture toughness assessment, which favorably reflected upon its generality and application flexibility.
PB  - Serbian Society of Mechanics
C3  - Collection of Articles from the Ninth International Congress of the Serbian Society of Mechanics
T1  - Upgraded Two-Step-Scaling Approach to the DTB Characterization of Ferritic Steels
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_2067
ER  - 

@conference{
author = "Mastilović, Sreten and Djordjević, Branislav and sedmak, aleksandar",
year = "2023",
abstract = "The fracture toughness of ferritic steels in the DTB (ductile-to-brittle) transition temperature region is a stochastic extrinsic property known for pronounced experimental data scatter that necessitates statistical approach in the DTB characterization. The novel two-step-scaling (2SS) method, proposed recently for the size effect-modeling across the DTB transition region, is developed based on the weakest-link statistics and the two-parametric Weibull distribution. Specifically, the size sensitivity of the Weibull parameters of scale and shape are built into the appropriate framework. This approach is upgraded in this article to render the comparison with the existing models more transparent. Specifically, the original 2SS method is enhanced by adding a lower limit on fracture toughness, resulting in the translated (three-parameter) Weibull cumulative distribution function. This third Weibull parameter, often dubbed the location parameter, defines a threshold value that limits the accessible fracture toughness domain. The upgraded 2SS approach is compared to two established methods of the DTB fracture toughness assessment, which favorably reflected upon its generality and application flexibility.",
publisher = "Serbian Society of Mechanics",
journal = "Collection of Articles from the Ninth International Congress of the Serbian Society of Mechanics",
title = "Upgraded Two-Step-Scaling Approach to the DTB Characterization of Ferritic Steels",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_2067"
}

Mastilović, S., Djordjević, B.,& sedmak, a.. (2023). Upgraded Two-Step-Scaling Approach to the DTB Characterization of Ferritic Steels. in Collection of Articles from the Ninth International Congress of the Serbian Society of Mechanics
Serbian Society of Mechanics..
https://hdl.handle.net/21.15107/rcub_rimsi_2067

Mastilović S, Djordjević B, sedmak A. Upgraded Two-Step-Scaling Approach to the DTB Characterization of Ferritic Steels. in Collection of Articles from the Ninth International Congress of the Serbian Society of Mechanics. 2023;.
https://hdl.handle.net/21.15107/rcub_rimsi_2067 .

Mastilović, Sreten, Djordjević, Branislav, sedmak, aleksandar, "Upgraded Two-Step-Scaling Approach to the DTB Characterization of Ferritic Steels" in Collection of Articles from the Ninth International Congress of the Serbian Society of Mechanics (2023),
https://hdl.handle.net/21.15107/rcub_rimsi_2067 .

TY  - CONF
AU  - Mastilović, Sreten
AU  - Djordjević, Branislav
AU  - Sedmak, Aleksandar
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2068
AB  - The ferritic steels, widely used as pressure-vessel materials in nuclear industry, are prone to embrittlement when exposed to neutron irradiation or temperature reduction within the DTB (ductile-to-brittle) transition region. This embrittlement may be accompanied by the increased size effect, which is a pronounced consequence of fracture mechanics not exhibited in the traditional plasticity theory. Therefore, the fracture toughness in the DTB transition temperature region is a stochastic extrinsic property well known for its aleatory variability. Consequently, the extremely-pronounced experimental data scatter necessitates the use of the statistical approach to material characterization. The recently proposed two-step-scaling approach to estimate the size effect of fracture toughness CDF (cumulative density function) in the DTB transition region relies heavily on regularity of arrangement of experimental data points for the two input sample sizes. This regularity of measurement values becomes an inherently iffy proposition in the case of statistically small data sets. Therefore, the ability of our novel approach to predict objectively the fracture toughness probability outside the experimental domain may be impaired in absence of the sufficient statistical size of the input data sets. Since the large-scale fracture toughness tests for nuclear pressure-vessel steels at low temperatures are very expensive, the present study is concerned with this issue of the statistically sufficient sample size. There are various statistical techniques to determine the sample size needed for a study, including power analysis and sample size calculation formulas. The appropriate method depends on the type of study, the research question, and the statistical analysis planned. These issues are addressed in this article.
PB  - Serbian Society of Mechanics
C3  - Collection of Articles Presented at the Ninth International Congress of the Serbian Society of Mechanics (July 5-7, 2023, Vrnjačka Banja, Serbia)
T1  - A Note on the Effect of Statistical Sample Size on Fracture Toughness Characterization in the DTB Transition Region
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_2068
ER  - 

@conference{
author = "Mastilović, Sreten and Djordjević, Branislav and Sedmak, Aleksandar",
year = "2023",
abstract = "The ferritic steels, widely used as pressure-vessel materials in nuclear industry, are prone to embrittlement when exposed to neutron irradiation or temperature reduction within the DTB (ductile-to-brittle) transition region. This embrittlement may be accompanied by the increased size effect, which is a pronounced consequence of fracture mechanics not exhibited in the traditional plasticity theory. Therefore, the fracture toughness in the DTB transition temperature region is a stochastic extrinsic property well known for its aleatory variability. Consequently, the extremely-pronounced experimental data scatter necessitates the use of the statistical approach to material characterization. The recently proposed two-step-scaling approach to estimate the size effect of fracture toughness CDF (cumulative density function) in the DTB transition region relies heavily on regularity of arrangement of experimental data points for the two input sample sizes. This regularity of measurement values becomes an inherently iffy proposition in the case of statistically small data sets. Therefore, the ability of our novel approach to predict objectively the fracture toughness probability outside the experimental domain may be impaired in absence of the sufficient statistical size of the input data sets. Since the large-scale fracture toughness tests for nuclear pressure-vessel steels at low temperatures are very expensive, the present study is concerned with this issue of the statistically sufficient sample size. There are various statistical techniques to determine the sample size needed for a study, including power analysis and sample size calculation formulas. The appropriate method depends on the type of study, the research question, and the statistical analysis planned. These issues are addressed in this article.",
publisher = "Serbian Society of Mechanics",
journal = "Collection of Articles Presented at the Ninth International Congress of the Serbian Society of Mechanics (July 5-7, 2023, Vrnjačka Banja, Serbia)",
title = "A Note on the Effect of Statistical Sample Size on Fracture Toughness Characterization in the DTB Transition Region",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_2068"
}

Mastilović, S., Djordjević, B.,& Sedmak, A.. (2023). A Note on the Effect of Statistical Sample Size on Fracture Toughness Characterization in the DTB Transition Region. in Collection of Articles Presented at the Ninth International Congress of the Serbian Society of Mechanics (July 5-7, 2023, Vrnjačka Banja, Serbia)
Serbian Society of Mechanics..
https://hdl.handle.net/21.15107/rcub_rimsi_2068

Mastilović S, Djordjević B, Sedmak A. A Note on the Effect of Statistical Sample Size on Fracture Toughness Characterization in the DTB Transition Region. in Collection of Articles Presented at the Ninth International Congress of the Serbian Society of Mechanics (July 5-7, 2023, Vrnjačka Banja, Serbia). 2023;.
https://hdl.handle.net/21.15107/rcub_rimsi_2068 .

Mastilović, Sreten, Djordjević, Branislav, Sedmak, Aleksandar, "A Note on the Effect of Statistical Sample Size on Fracture Toughness Characterization in the DTB Transition Region" in Collection of Articles Presented at the Ninth International Congress of the Serbian Society of Mechanics (July 5-7, 2023, Vrnjačka Banja, Serbia) (2023),
https://hdl.handle.net/21.15107/rcub_rimsi_2068 .

TY  - CONF
AU  - Djordjević, Branislav
AU  - Mastilović, Sreten
AU  - Sedmak, Aleksandar
AU  - Dimic, Aleksandar
AU  - Sedmak, Simon
AU  - Arandjelovic, Mihajlo
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2069
AB  - The large scatter of the experimental fracture toughness data, characteristic of all ferritic steels in the ductile-to-brittle transition
temperature region, imposed the need to include statistical methods for data processing. Due to the inherent stochasticity, the
application of fracture mechanics concepts in the characterization of the DTB transition phenomenon has remained a challenging
task over the past 50 years. Various models were developed based on statistical approach to data processing in order to capture
the salient features of the phenomenon, but all of them have certain limitations because of the intrinsic complexity of the
problem. However, all these models provided a solid basis for the continued development of new approaches in the
characterization of DTB. Such two novel models are compared herein. They include size effects and utilize scaling of
geometrically similar C(T) specimens, with the aim of obtaining predictions of the fracture toughness. Both proposed models
have the weakest link statistics in common. In the present study, the EURO fracture toughness data set for 22NiMoCr37 reactor
steel is used and the experimental data obtained at temperature of -60 ºC is selected to demonstrate the accuracy of the estimates.
The fracture toughness measure used is the critical value of the stress intensity factor used in the master curve KJc [MPa√m].
The obtained predictions are in good agreement with the experimental results, taking into account the inherent scatter of the
experimental data. The estimate of KJc cumulative distribution function obtained by extrapolation using the novel two-stepscaling
method is sensitive to the statistical size of the input data sets.
PB  - Elsevier B.V.
C3  - Procedia Structural Integrity
T1  - Comparison of two recent approaches to DTB characterization of ferritic steels
EP  - 596
SP  - 589
VL  - 47
DO  - 10.1016/j.prostr.2023.07.065
ER  - 

@conference{
author = "Djordjević, Branislav and Mastilović, Sreten and Sedmak, Aleksandar and Dimic, Aleksandar and Sedmak, Simon and Arandjelovic, Mihajlo",
year = "2023",
abstract = "The large scatter of the experimental fracture toughness data, characteristic of all ferritic steels in the ductile-to-brittle transition
temperature region, imposed the need to include statistical methods for data processing. Due to the inherent stochasticity, the
application of fracture mechanics concepts in the characterization of the DTB transition phenomenon has remained a challenging
task over the past 50 years. Various models were developed based on statistical approach to data processing in order to capture
the salient features of the phenomenon, but all of them have certain limitations because of the intrinsic complexity of the
problem. However, all these models provided a solid basis for the continued development of new approaches in the
characterization of DTB. Such two novel models are compared herein. They include size effects and utilize scaling of
geometrically similar C(T) specimens, with the aim of obtaining predictions of the fracture toughness. Both proposed models
have the weakest link statistics in common. In the present study, the EURO fracture toughness data set for 22NiMoCr37 reactor
steel is used and the experimental data obtained at temperature of -60 ºC is selected to demonstrate the accuracy of the estimates.
The fracture toughness measure used is the critical value of the stress intensity factor used in the master curve KJc [MPa√m].
The obtained predictions are in good agreement with the experimental results, taking into account the inherent scatter of the
experimental data. The estimate of KJc cumulative distribution function obtained by extrapolation using the novel two-stepscaling
method is sensitive to the statistical size of the input data sets.",
publisher = "Elsevier B.V.",
journal = "Procedia Structural Integrity",
title = "Comparison of two recent approaches to DTB characterization of ferritic steels",
pages = "596-589",
volume = "47",
doi = "10.1016/j.prostr.2023.07.065"
}

Djordjević, B., Mastilović, S., Sedmak, A., Dimic, A., Sedmak, S.,& Arandjelovic, M.. (2023). Comparison of two recent approaches to DTB characterization of ferritic steels. in Procedia Structural Integrity
Elsevier B.V.., 47, 589-596.
https://doi.org/10.1016/j.prostr.2023.07.065

Djordjević B, Mastilović S, Sedmak A, Dimic A, Sedmak S, Arandjelovic M. Comparison of two recent approaches to DTB characterization of ferritic steels. in Procedia Structural Integrity. 2023;47:589-596.
doi:10.1016/j.prostr.2023.07.065 .

Djordjević, Branislav, Mastilović, Sreten, Sedmak, Aleksandar, Dimic, Aleksandar, Sedmak, Simon, Arandjelovic, Mihajlo, "Comparison of two recent approaches to DTB characterization of ferritic steels" in Procedia Structural Integrity, 47 (2023):589-596,
https://doi.org/10.1016/j.prostr.2023.07.065 . .

TY  - JOUR
AU  - Mastilović, Sreten
AU  - Djordjevic, Branislav
AU  - Sedmak, Aleksandar
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1577
AB  - The authors regret that a typographical error was made in Eqs. (15), (16), (20). In these three forms of the Jc cumulative distribution function (CDF), we omitted the minus sign in front of the argument of the exponential function.
PB  - Elsevier
T2  - Engineering Failure Analysis
T1  - Corrigendum to “A scaling approach to size effect modeling of Jc CDF for 20MnMoNi55 reactor steel in transition temperature region” [Eng. Fail. Anal. 131 (2022) 105838]
SP  - 106751
VL  - 142
DO  - 10.1016/j.engfailanal.2022.106751
ER  - 

@article{
author = "Mastilović, Sreten and Djordjevic, Branislav and Sedmak, Aleksandar",
year = "2022",
abstract = "The authors regret that a typographical error was made in Eqs. (15), (16), (20). In these three forms of the Jc cumulative distribution function (CDF), we omitted the minus sign in front of the argument of the exponential function.",
publisher = "Elsevier",
journal = "Engineering Failure Analysis",
title = "Corrigendum to “A scaling approach to size effect modeling of Jc CDF for 20MnMoNi55 reactor steel in transition temperature region” [Eng. Fail. Anal. 131 (2022) 105838]",
pages = "106751",
volume = "142",
doi = "10.1016/j.engfailanal.2022.106751"
}

Mastilović, S., Djordjevic, B.,& Sedmak, A.. (2022). Corrigendum to “A scaling approach to size effect modeling of Jc CDF for 20MnMoNi55 reactor steel in transition temperature region” [Eng. Fail. Anal. 131 (2022) 105838]. in Engineering Failure Analysis
Elsevier., 142, 106751.
https://doi.org/10.1016/j.engfailanal.2022.106751

Mastilović S, Djordjevic B, Sedmak A. Corrigendum to “A scaling approach to size effect modeling of Jc CDF for 20MnMoNi55 reactor steel in transition temperature region” [Eng. Fail. Anal. 131 (2022) 105838]. in Engineering Failure Analysis. 2022;142:106751.
doi:10.1016/j.engfailanal.2022.106751 .

Mastilović, Sreten, Djordjevic, Branislav, Sedmak, Aleksandar, "Corrigendum to “A scaling approach to size effect modeling of Jc CDF for 20MnMoNi55 reactor steel in transition temperature region” [Eng. Fail. Anal. 131 (2022) 105838]" in Engineering Failure Analysis, 142 (2022):106751,
https://doi.org/10.1016/j.engfailanal.2022.106751 . .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1598
AB  - The present investigation relies upon an
alternative approach to estimate the penetration depth
of rigid projectiles into quasibrittle materials that utilizes
simulation-informed modeling of penetration
resistance. Penetration at normal incidence of a long
rigid rod into massive targets, made of materials with
inferior tensile strength predisposed to microcracking,
is an event characterized by a high level of aleatory
variability and epistemic uncertainty. This inherent
stochasticity of the phenomenon is addressed by a
model developed based on the particle dynamics (PD)
simulations aimed to provide a key modeling ingredient—
the functional dependence of the radial traction
at the cavity surface on the radial velocity of the cavity
expansion. The penetration depth expressions are
derived for the ogive nose projectiles. The use of the
power law radial traction dependence upon the expansion
rate yields the penetration resistance and depth
equations defined in terms of hypergeometric functions.
These expressions are readily evaluated and
offer a reasonably conservative estimate of the penetration
depth. This model is validated by using experimental
results of the penetration depth of long projectiles
into Salem limestone, which is a typical example
of quasibrittle materials with random microstructure
well known for their pronounced experimental data
scatter. This stochasticity is explored in the present
paper by a sensitivity analysis of the key input parameters
of the model; most notably, uniaxial tensile
strength and friction coefficient.
PB  - Springer Nature
T2  - Meccanica
T1  - A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking
EP  - 3069
IS  - 12
SP  - 3051
VL  - 57
DO  - 10.1007/s11012-022-01614-5
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2022",
abstract = "The present investigation relies upon an
alternative approach to estimate the penetration depth
of rigid projectiles into quasibrittle materials that utilizes
simulation-informed modeling of penetration
resistance. Penetration at normal incidence of a long
rigid rod into massive targets, made of materials with
inferior tensile strength predisposed to microcracking,
is an event characterized by a high level of aleatory
variability and epistemic uncertainty. This inherent
stochasticity of the phenomenon is addressed by a
model developed based on the particle dynamics (PD)
simulations aimed to provide a key modeling ingredient—
the functional dependence of the radial traction
at the cavity surface on the radial velocity of the cavity
expansion. The penetration depth expressions are
derived for the ogive nose projectiles. The use of the
power law radial traction dependence upon the expansion
rate yields the penetration resistance and depth
equations defined in terms of hypergeometric functions.
These expressions are readily evaluated and
offer a reasonably conservative estimate of the penetration
depth. This model is validated by using experimental
results of the penetration depth of long projectiles
into Salem limestone, which is a typical example
of quasibrittle materials with random microstructure
well known for their pronounced experimental data
scatter. This stochasticity is explored in the present
paper by a sensitivity analysis of the key input parameters
of the model; most notably, uniaxial tensile
strength and friction coefficient.",
publisher = "Springer Nature",
journal = "Meccanica",
title = "A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking",
pages = "3069-3051",
number = "12",
volume = "57",
doi = "10.1007/s11012-022-01614-5"
}

Mastilović, S.. (2022). A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking. in Meccanica
Springer Nature., 57(12), 3051-3069.
https://doi.org/10.1007/s11012-022-01614-5

Mastilović S. A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking. in Meccanica. 2022;57(12):3051-3069.
doi:10.1007/s11012-022-01614-5 .

Mastilović, Sreten, "A PD simulation‑informed prediction of penetration depth of rigid rods through materials susceptible to microcracking" in Meccanica, 57, no. 12 (2022):3051-3069,
https://doi.org/10.1007/s11012-022-01614-5 . .

TY  - JOUR
AU  - Mastilović, Sreten
AU  - Đorđević, Branislav
AU  - Sedmak, Aleksandar
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1536
AB  - Ever since the 1980s there is a sustained interest in the size effect, as one of the most pronounced consequences of fracture mechanics. In the present study, the investigation of the size effect is focused on estimation of the Weibull cumulative distribution function (CDF) of the critical value of the J-integral (J(c)) in the transition temperature region under constraint of a small statistical sample size. Specifically, the J(c) experimental data correspond to the C(T) specimen testing of the reactor pressure-vessel steel 20MnMoNi55 at only two geometrically-similar sizes. Thus, a simple approximate scaling algorithm has been developed to tackle the effect of the C(T) specimen size on the J(c) CDF under these circumstances. Due to the specific form of the two-parameter Weibull CDF, F(J(c) vertical bar beta, eta), the scaling procedure is applied according to a two-step scheme. First, the J(c)-scaling is performed to ensure the approximate overlap of the points that correspond to the CDF value F(J(c) = eta) = 1 - 1/e approximate to 0.632 for different C(T) specimen widths (W), which assumes eta.W-kappa= const. Second, the F-scaling is performed to ensure the equality of the slopes of the CDF in the scaled (F.W(xi)vs. J(c).W-kappa) space. The objective of the sketched approach is to obtain a size-dependent J(c) CDF that encapsulates a reasonably conservative data extrapolation.
PB  - Elsevier
T2  - Engineering Failure Analysis
T1  - A scaling approach to size effect modeling of J(c) CDF for 20MnMoNi55 reactor steel in transition temperature region
VL  - 131
DO  - 10.1016/j.engfailanal.2021.105838
ER  - 

@article{
author = "Mastilović, Sreten and Đorđević, Branislav and Sedmak, Aleksandar",
year = "2022",
abstract = "Ever since the 1980s there is a sustained interest in the size effect, as one of the most pronounced consequences of fracture mechanics. In the present study, the investigation of the size effect is focused on estimation of the Weibull cumulative distribution function (CDF) of the critical value of the J-integral (J(c)) in the transition temperature region under constraint of a small statistical sample size. Specifically, the J(c) experimental data correspond to the C(T) specimen testing of the reactor pressure-vessel steel 20MnMoNi55 at only two geometrically-similar sizes. Thus, a simple approximate scaling algorithm has been developed to tackle the effect of the C(T) specimen size on the J(c) CDF under these circumstances. Due to the specific form of the two-parameter Weibull CDF, F(J(c) vertical bar beta, eta), the scaling procedure is applied according to a two-step scheme. First, the J(c)-scaling is performed to ensure the approximate overlap of the points that correspond to the CDF value F(J(c) = eta) = 1 - 1/e approximate to 0.632 for different C(T) specimen widths (W), which assumes eta.W-kappa= const. Second, the F-scaling is performed to ensure the equality of the slopes of the CDF in the scaled (F.W(xi)vs. J(c).W-kappa) space. The objective of the sketched approach is to obtain a size-dependent J(c) CDF that encapsulates a reasonably conservative data extrapolation.",
publisher = "Elsevier",
journal = "Engineering Failure Analysis",
title = "A scaling approach to size effect modeling of J(c) CDF for 20MnMoNi55 reactor steel in transition temperature region",
volume = "131",
doi = "10.1016/j.engfailanal.2021.105838"
}

Mastilović, S., Đorđević, B.,& Sedmak, A.. (2022). A scaling approach to size effect modeling of J(c) CDF for 20MnMoNi55 reactor steel in transition temperature region. in Engineering Failure Analysis
Elsevier., 131.
https://doi.org/10.1016/j.engfailanal.2021.105838

Mastilović S, Đorđević B, Sedmak A. A scaling approach to size effect modeling of J(c) CDF for 20MnMoNi55 reactor steel in transition temperature region. in Engineering Failure Analysis. 2022;131.
doi:10.1016/j.engfailanal.2021.105838 .

Mastilović, Sreten, Đorđević, Branislav, Sedmak, Aleksandar, "A scaling approach to size effect modeling of J(c) CDF for 20MnMoNi55 reactor steel in transition temperature region" in Engineering Failure Analysis, 131 (2022),
https://doi.org/10.1016/j.engfailanal.2021.105838 . .

TY  - CONF
AU  - Djordjevic, Branislav
AU  - Sedmak, Aleksandar
AU  - Mastilović, Sreten
AU  - Popovic, Olivera
AU  - Kirin, Snezana
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1643
AB  - This paper presents a review of different approaches through history concerning DTB transition phenomenon of ferritic steels and
their characterization using FM concept, from the earliest studies based on LEFM to the application of the EPFM concept. The
large scattering of the experimental fracture toughness data, characteristic of all ferritic steels in the transition temperature region,
has imposed the need of including statistical methods for data processing. Such approach that began in the 1970s can be encountered
even nowadays as the base of fracture toughness data interpretation in DTB problems. An overview of studies with statistical
interpretation of experimental data in the transition temperature region is also given. Aforementioned provides a foundation for
novel approaches in DTB transition problems, which include size effects and scaling of geometrically similar specimens.
PB  - Elsevier
C3  - Procedia Structural Integrity
T1  - History of ductile-to-brittle transition problem of ferritic steels
EP  - 95
SP  - 88
VL  - 42
DO  - 10.1016/j.prostr.2022.12.010
ER  - 

@conference{
author = "Djordjevic, Branislav and Sedmak, Aleksandar and Mastilović, Sreten and Popovic, Olivera and Kirin, Snezana",
year = "2022",
abstract = "This paper presents a review of different approaches through history concerning DTB transition phenomenon of ferritic steels and
their characterization using FM concept, from the earliest studies based on LEFM to the application of the EPFM concept. The
large scattering of the experimental fracture toughness data, characteristic of all ferritic steels in the transition temperature region,
has imposed the need of including statistical methods for data processing. Such approach that began in the 1970s can be encountered
even nowadays as the base of fracture toughness data interpretation in DTB problems. An overview of studies with statistical
interpretation of experimental data in the transition temperature region is also given. Aforementioned provides a foundation for
novel approaches in DTB transition problems, which include size effects and scaling of geometrically similar specimens.",
publisher = "Elsevier",
journal = "Procedia Structural Integrity",
title = "History of ductile-to-brittle transition problem of ferritic steels",
pages = "95-88",
volume = "42",
doi = "10.1016/j.prostr.2022.12.010"
}

Djordjevic, B., Sedmak, A., Mastilović, S., Popovic, O.,& Kirin, S.. (2022). History of ductile-to-brittle transition problem of ferritic steels. in Procedia Structural Integrity
Elsevier., 42, 88-95.
https://doi.org/10.1016/j.prostr.2022.12.010

Djordjevic B, Sedmak A, Mastilović S, Popovic O, Kirin S. History of ductile-to-brittle transition problem of ferritic steels. in Procedia Structural Integrity. 2022;42:88-95.
doi:10.1016/j.prostr.2022.12.010 .

Djordjevic, Branislav, Sedmak, Aleksandar, Mastilović, Sreten, Popovic, Olivera, Kirin, Snezana, "History of ductile-to-brittle transition problem of ferritic steels" in Procedia Structural Integrity, 42 (2022):88-95,
https://doi.org/10.1016/j.prostr.2022.12.010 . .

TY  - CHAP
AU  - Mastilović, Sreten
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1604
AB  - This book is mainly based on the material initially published in Serbian, in 2021,
by the University of Belgrade, Faculty of Mining and Geology, under the title
Mathematical Physics (Theory and Examples). For the purpose of this book the
material from the Serbian edition was reviewed, amended, and translated, with new
material added in two final chapters in the second volume. We have divided text
into two separate volumes:
Mathematics of Physics - Analytical Methods and
Mathematics of Physics - Numerical Methods.
The first volume consists of 8 chapters:
- The first 7 chapters were written by Dragoslav Kuzmanović, Dobrica Nikolić
and Ivan Obradović, and correspond to the text from Chapters 1-8 of the
Serbian edition, translated by Ivan Obradović.
- The material of Chapter 8, which is of a monographic character, corresponds
to the material of Chapter 9 in the Serbian edition, but was thoroughly
reviewed and rewritten in English by Mihailo Lazarević.
The second volume consists of 6 chapters:
- The first 3 chapters were written by Aleksandar Sedmak and correspond
to Chapter 10 of the Serbian edition, restructured and reviewed, and then
translated by Simon Sedmak.
- Chapter 4 corresponds to the text of Chapter 11 of the Serbian edition,
written and translated by Nikola Mladenović.
- Chapters 5 and 6, written by Rade Vignjević and Sreten Mastilović, respectively,
offer completely new material.
Chapters 4,5 and 6 are of a monographic character.
PB  - ESIS Publishing House
T2  - Sedmak, A., Sedmak, S., Mladenović, N., Vignjević, R., & Mastilović, S. (2022, November 20). Mathematical Physics: Volume II - Numerical Methods. ESIS Publishing House. Retrieved from https://www.esis-ph.eu/index.php/eph/catalog/book/192
T1  - Introduction to Computational Mechanics of Discontinua
EP  - 285
SP  - 215
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_1604
ER  - 

@inbook{
author = "Mastilović, Sreten",
year = "2022",
abstract = "This book is mainly based on the material initially published in Serbian, in 2021,
by the University of Belgrade, Faculty of Mining and Geology, under the title
Mathematical Physics (Theory and Examples). For the purpose of this book the
material from the Serbian edition was reviewed, amended, and translated, with new
material added in two final chapters in the second volume. We have divided text
into two separate volumes:
Mathematics of Physics - Analytical Methods and
Mathematics of Physics - Numerical Methods.
The first volume consists of 8 chapters:
- The first 7 chapters were written by Dragoslav Kuzmanović, Dobrica Nikolić
and Ivan Obradović, and correspond to the text from Chapters 1-8 of the
Serbian edition, translated by Ivan Obradović.
- The material of Chapter 8, which is of a monographic character, corresponds
to the material of Chapter 9 in the Serbian edition, but was thoroughly
reviewed and rewritten in English by Mihailo Lazarević.
The second volume consists of 6 chapters:
- The first 3 chapters were written by Aleksandar Sedmak and correspond
to Chapter 10 of the Serbian edition, restructured and reviewed, and then
translated by Simon Sedmak.
- Chapter 4 corresponds to the text of Chapter 11 of the Serbian edition,
written and translated by Nikola Mladenović.
- Chapters 5 and 6, written by Rade Vignjević and Sreten Mastilović, respectively,
offer completely new material.
Chapters 4,5 and 6 are of a monographic character.",
publisher = "ESIS Publishing House",
journal = "Sedmak, A., Sedmak, S., Mladenović, N., Vignjević, R., & Mastilović, S. (2022, November 20). Mathematical Physics: Volume II - Numerical Methods. ESIS Publishing House. Retrieved from https://www.esis-ph.eu/index.php/eph/catalog/book/192",
booktitle = "Introduction to Computational Mechanics of Discontinua",
pages = "285-215",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_1604"
}

Mastilović, S.. (2022). Introduction to Computational Mechanics of Discontinua. in Sedmak, A., Sedmak, S., Mladenović, N., Vignjević, R., & Mastilović, S. (2022, November 20). Mathematical Physics: Volume II - Numerical Methods. ESIS Publishing House. Retrieved from https://www.esis-ph.eu/index.php/eph/catalog/book/192
ESIS Publishing House., 215-285.
https://hdl.handle.net/21.15107/rcub_rimsi_1604

Mastilović S. Introduction to Computational Mechanics of Discontinua. in Sedmak, A., Sedmak, S., Mladenović, N., Vignjević, R., & Mastilović, S. (2022, November 20). Mathematical Physics: Volume II - Numerical Methods. ESIS Publishing House. Retrieved from https://www.esis-ph.eu/index.php/eph/catalog/book/192. 2022;:215-285.
https://hdl.handle.net/21.15107/rcub_rimsi_1604 .

Mastilović, Sreten, "Introduction to Computational Mechanics of Discontinua" in Sedmak, A., Sedmak, S., Mladenović, N., Vignjević, R., & Mastilović, S. (2022, November 20). Mathematical Physics: Volume II - Numerical Methods. ESIS Publishing House. Retrieved from https://www.esis-ph.eu/index.php/eph/catalog/book/192 (2022):215-285,
https://hdl.handle.net/21.15107/rcub_rimsi_1604 .

TY  - CONF
AU  - Mastilović, Sreten
PY  - 2022
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1607
AB  - The present study proposes a model aimed to provide a rational estimate of the penetration depth of rigid projectiles into quasibrittle solids. Penetration at normal incidence into massive targets, made of materials predisposed to microcracking, is marked by a high level of aleatory variability and epistemic uncertainty. This inherent stochasticity is addressed by the model developed based on the particle dynamics simulations that provide the key modeling ingredient – the estimate of the radial traction required to expand a cylindrical cavity at a prescribed rate.
PB  - University of Belgrade, Faculty of Mechanical Engineering
C3  - Booklet of Abstracts “1st International Conference on Mathematical Modelling in Mechanics and Engineering”, Belgrade, 08.-10. September 2022
T1  - A Simulation-Informed Modeling of Depth of Penetration of Rigid Rods Into Quasibrittle Solids
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_1607
ER  - 

@conference{
author = "Mastilović, Sreten",
year = "2022",
abstract = "The present study proposes a model aimed to provide a rational estimate of the penetration depth of rigid projectiles into quasibrittle solids. Penetration at normal incidence into massive targets, made of materials predisposed to microcracking, is marked by a high level of aleatory variability and epistemic uncertainty. This inherent stochasticity is addressed by the model developed based on the particle dynamics simulations that provide the key modeling ingredient – the estimate of the radial traction required to expand a cylindrical cavity at a prescribed rate.",
publisher = "University of Belgrade, Faculty of Mechanical Engineering",
journal = "Booklet of Abstracts “1st International Conference on Mathematical Modelling in Mechanics and Engineering”, Belgrade, 08.-10. September 2022",
title = "A Simulation-Informed Modeling of Depth of Penetration of Rigid Rods Into Quasibrittle Solids",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_1607"
}

Mastilović, S.. (2022). A Simulation-Informed Modeling of Depth of Penetration of Rigid Rods Into Quasibrittle Solids. in Booklet of Abstracts “1st International Conference on Mathematical Modelling in Mechanics and Engineering”, Belgrade, 08.-10. September 2022
University of Belgrade, Faculty of Mechanical Engineering..
https://hdl.handle.net/21.15107/rcub_rimsi_1607

Mastilović S. A Simulation-Informed Modeling of Depth of Penetration of Rigid Rods Into Quasibrittle Solids. in Booklet of Abstracts “1st International Conference on Mathematical Modelling in Mechanics and Engineering”, Belgrade, 08.-10. September 2022. 2022;.
https://hdl.handle.net/21.15107/rcub_rimsi_1607 .

Mastilović, Sreten, "A Simulation-Informed Modeling of Depth of Penetration of Rigid Rods Into Quasibrittle Solids" in Booklet of Abstracts “1st International Conference on Mathematical Modelling in Mechanics and Engineering”, Belgrade, 08.-10. September 2022 (2022),
https://hdl.handle.net/21.15107/rcub_rimsi_1607 .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2021
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1605
AB  - Molecular dynamics simulations of the rigid-anvil collision test are performed by using a twodimensional
computational setup that mimics the traditional ballistic Taylor test. In this
extensively utilized computational setup, the slender nanoscale projectiles collide with a rigid
wall with hypersonic striking velocities ranging from 3 km/s to 30 km/s. The projectiles used in
these simulations are flat-ended, monocrystalline, nanoscale bars prepared at zero temperature.
The Poisson hyper-exponential distribution with the logarithmic binning is used to capture the
fragment mass (size) distribution under the constraint of the relatively small specimen size
15×100 nm. The objective is to highlight the occurrence of certain discreteness of the fragment
mass distribution observed both in time (during the fragment debris evolution) and across the
striking velocity field (for the final fragmentation states that correspond to the stationary
distributions).
PB  - The Serbian Society for Computational Mechanics
T2  - Journal of the Serbian Society for Computational Mechanics
T1  - Molecular Dynamics Observation of Discreteness of the Mass Distribution During Nanoscale Fragmentation
EP  - 22
IS  - 2
SP  - 10
VL  - 15
DO  - 10.24874/jsscm.2021.15.02.02
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2021",
abstract = "Molecular dynamics simulations of the rigid-anvil collision test are performed by using a twodimensional
computational setup that mimics the traditional ballistic Taylor test. In this
extensively utilized computational setup, the slender nanoscale projectiles collide with a rigid
wall with hypersonic striking velocities ranging from 3 km/s to 30 km/s. The projectiles used in
these simulations are flat-ended, monocrystalline, nanoscale bars prepared at zero temperature.
The Poisson hyper-exponential distribution with the logarithmic binning is used to capture the
fragment mass (size) distribution under the constraint of the relatively small specimen size
15×100 nm. The objective is to highlight the occurrence of certain discreteness of the fragment
mass distribution observed both in time (during the fragment debris evolution) and across the
striking velocity field (for the final fragmentation states that correspond to the stationary
distributions).",
publisher = "The Serbian Society for Computational Mechanics",
journal = "Journal of the Serbian Society for Computational Mechanics",
title = "Molecular Dynamics Observation of Discreteness of the Mass Distribution During Nanoscale Fragmentation",
pages = "22-10",
number = "2",
volume = "15",
doi = "10.24874/jsscm.2021.15.02.02"
}

Mastilović, S.. (2021). Molecular Dynamics Observation of Discreteness of the Mass Distribution During Nanoscale Fragmentation. in Journal of the Serbian Society for Computational Mechanics
The Serbian Society for Computational Mechanics., 15(2), 10-22.
https://doi.org/10.24874/jsscm.2021.15.02.02

Mastilović S. Molecular Dynamics Observation of Discreteness of the Mass Distribution During Nanoscale Fragmentation. in Journal of the Serbian Society for Computational Mechanics. 2021;15(2):10-22.
doi:10.24874/jsscm.2021.15.02.02 .

Mastilović, Sreten, "Molecular Dynamics Observation of Discreteness of the Mass Distribution During Nanoscale Fragmentation" in Journal of the Serbian Society for Computational Mechanics, 15, no. 2 (2021):10-22,
https://doi.org/10.24874/jsscm.2021.15.02.02 . .

TY  - BOOK
AU  - Mastilović, Sreten
PY  - 2019
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1597
AB  - Главну почетну мотивацију за настанак и динамични развој рачунске
механике прекидних средина представљала је потреба моделирања деформа-
ције, лома и распада квази-кртих материјала са прекидном и/или хетерогеном
структуром и инфериорном (чак непостојећом) затезном чврстоћом (сликa А).
Током дугог низа година, многи истраживачи су покушавали да моделирају ове
материјале коришћењем класичних метода механике континуума, али са
ограниченим успехом. Један од главних разлога за уочену „неухватљивост” је да
je понашање хетерогених материјала суштински дефинисано њиховим
хетерогеним карактером, који утиче на локализацију деформације и оштећења, и
процесе зачећа, раста и срастања прслина. Ове појаве су нераскидиво повезане
са дисконтинуитетом померања који јасно крши хипотезу континуума. Наведенe
потешкоће довеле су до настанка рачунске механике прекидних средина чије су
основне методе предмет ове монографије. Ове методе, како им само име каже,
ослањају се на дисконтинуирану (прекидну) апроксимацију поља променљиве у
рачунском домену.
Током протеклих неколико деценија модели рачунске механике
прекидних средина изборили су се за своје место међу алатима у структурној
анализи и дизајну у много ширем опсегу материјалних система. Коначно, у
данашње време, постали су комплементарни са моделима механике континуума
и експерименталним истраживањима захваљујући својој способности да
побољшају наше елементарно разумевање процеса лома и његових последица на
макроскопска својства материјала која имају најширу примену у инжењерској
пракси.
Ова монографија је израсла из моје претходне студије (Mastilovic, 2008b)
и два поглавља приређена за Шпрингеров “Приручник механике оштећења” са
др Антониом Риналдијем (Rinaldi and Mastilovic, 2015; Mastilovic and Rinaldi,
2015). Концепт јој је донекле неуобичајен јер укључује сажете приказе великог
броја радова. Након уводних разматрања, изложен је језгровит преглед
темељних поставки традиционалних метода рачунске механике прекидних
средина које укључују: молекуларну динамику (МД) (поглавље 2), методе
решетки (поглавље 3), методе дискретних елемената (ДЕМ) (поглавље 4), и
честичне методе (поглавље 5). Илустрован је историјски развој метода, кроз
уочавање и разрешавања изабраних типичних проблема приказаних у
монографији кроз збирку описа радова у разноврсним областима који су у
највећој мери утицали на самог аутора у његовом развоју у наведеним
областима. Избор самих радова као и истицање одређених научних доприноса
су субјективни у оној мери у којој одсликавају информисаност и интересовања
аутора. Не може бити пренаглашено да избор радова издвојених у монографији
не претендује на потпуну репрезентативност у ширем смислу. Многи
истраживачи који су оставили дубок траг у доменима разних тема које су
дотакнуте у овој монографији, нису поменути или нису добили простор који
заслужују; неки — пре свих сам аутор — су добили више простора него што им
објективно припада. Што се садржаја тиче, акценат је био на горе наведеним
традиционалним, основним методама рачунске механике прекидних средина.
Мада се ове методе сада широко користе за моделирање различитих класа
материјала, чини се да су најприродније примене за симулације деформисања,
оштећења и лома материјала који имају исту топологију као репрезентујућа
структура модела. Модерне, напредне примене заговарају приступ моделирању
где се, у мери у којој је то могуће, инсистира на непосредној кореспонденцији
између експериментално утврђене структуре материјала и структуре коју
експлицитно представља нумерички модел. Утирању овога пута допринело је
коришћење експерименталних техника попут рентгенске микротомографије,
тродимензионалних (3Д) „имиџинг” техника високе резолуције, и сл., у спрези
са моделима рачунске механике прекидних средина који имитирају физичку структуру и процесе. Овде приказане методе имају за циљ да истакну тај тренд
експлицитног представљања физичких механизама као средства за развој
општих могућности за моделирање у различитим инжењерским гранама.
PB  - Универзитет у Београду, Институт за мултидисциплинарна истраживања
T1  - Рачунска механика прекидних средина - Основе и примена у фрагментацији
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_1597
ER  - 

@book{
author = "Mastilović, Sreten",
year = "2019",
abstract = "Главну почетну мотивацију за настанак и динамични развој рачунске
механике прекидних средина представљала је потреба моделирања деформа-
ције, лома и распада квази-кртих материјала са прекидном и/или хетерогеном
структуром и инфериорном (чак непостојећом) затезном чврстоћом (сликa А).
Током дугог низа година, многи истраживачи су покушавали да моделирају ове
материјале коришћењем класичних метода механике континуума, али са
ограниченим успехом. Један од главних разлога за уочену „неухватљивост” је да
je понашање хетерогених материјала суштински дефинисано њиховим
хетерогеним карактером, који утиче на локализацију деформације и оштећења, и
процесе зачећа, раста и срастања прслина. Ове појаве су нераскидиво повезане
са дисконтинуитетом померања који јасно крши хипотезу континуума. Наведенe
потешкоће довеле су до настанка рачунске механике прекидних средина чије су
основне методе предмет ове монографије. Ове методе, како им само име каже,
ослањају се на дисконтинуирану (прекидну) апроксимацију поља променљиве у
рачунском домену.
Током протеклих неколико деценија модели рачунске механике
прекидних средина изборили су се за своје место међу алатима у структурној
анализи и дизајну у много ширем опсегу материјалних система. Коначно, у
данашње време, постали су комплементарни са моделима механике континуума
и експерименталним истраживањима захваљујући својој способности да
побољшају наше елементарно разумевање процеса лома и његових последица на
макроскопска својства материјала која имају најширу примену у инжењерској
пракси.
Ова монографија је израсла из моје претходне студије (Mastilovic, 2008b)
и два поглавља приређена за Шпрингеров “Приручник механике оштећења” са
др Антониом Риналдијем (Rinaldi and Mastilovic, 2015; Mastilovic and Rinaldi,
2015). Концепт јој је донекле неуобичајен јер укључује сажете приказе великог
броја радова. Након уводних разматрања, изложен је језгровит преглед
темељних поставки традиционалних метода рачунске механике прекидних
средина које укључују: молекуларну динамику (МД) (поглавље 2), методе
решетки (поглавље 3), методе дискретних елемената (ДЕМ) (поглавље 4), и
честичне методе (поглавље 5). Илустрован је историјски развој метода, кроз
уочавање и разрешавања изабраних типичних проблема приказаних у
монографији кроз збирку описа радова у разноврсним областима који су у
највећој мери утицали на самог аутора у његовом развоју у наведеним
областима. Избор самих радова као и истицање одређених научних доприноса
су субјективни у оној мери у којој одсликавају информисаност и интересовања
аутора. Не може бити пренаглашено да избор радова издвојених у монографији
не претендује на потпуну репрезентативност у ширем смислу. Многи
истраживачи који су оставили дубок траг у доменима разних тема које су
дотакнуте у овој монографији, нису поменути или нису добили простор који
заслужују; неки — пре свих сам аутор — су добили више простора него што им
објективно припада. Што се садржаја тиче, акценат је био на горе наведеним
традиционалним, основним методама рачунске механике прекидних средина.
Мада се ове методе сада широко користе за моделирање различитих класа
материјала, чини се да су најприродније примене за симулације деформисања,
оштећења и лома материјала који имају исту топологију као репрезентујућа
структура модела. Модерне, напредне примене заговарају приступ моделирању
где се, у мери у којој је то могуће, инсистира на непосредној кореспонденцији
између експериментално утврђене структуре материјала и структуре коју
експлицитно представља нумерички модел. Утирању овога пута допринело је
коришћење експерименталних техника попут рентгенске микротомографије,
тродимензионалних (3Д) „имиџинг” техника високе резолуције, и сл., у спрези
са моделима рачунске механике прекидних средина који имитирају физичку структуру и процесе. Овде приказане методе имају за циљ да истакну тај тренд
експлицитног представљања физичких механизама као средства за развој
општих могућности за моделирање у различитим инжењерским гранама.",
publisher = "Универзитет у Београду, Институт за мултидисциплинарна истраживања",
title = "Рачунска механика прекидних средина - Основе и примена у фрагментацији",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_1597"
}

Mastilović, S.. (2019). Рачунска механика прекидних средина - Основе и примена у фрагментацији. 
Универзитет у Београду, Институт за мултидисциплинарна истраживања..
https://hdl.handle.net/21.15107/rcub_rimsi_1597

Mastilović S. Рачунска механика прекидних средина - Основе и примена у фрагментацији. 2019;.
https://hdl.handle.net/21.15107/rcub_rimsi_1597 .

Mastilović, Sreten, "Рачунска механика прекидних средина - Основе и примена у фрагментацији" (2019),
https://hdl.handle.net/21.15107/rcub_rimsi_1597 .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2019
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1224
AB  - Molecular dynamics simulations of the rigid-anvil collision test are performed to achieve the complete pulverization of slender nanoprojectiles. The simulation setup mimics the traditional Taylor test (the flat-ended nanoscale bars collide with a rough rigid wall) at striking velocities that reach an awesome range from 20 km/s to 120 km/s. The objective is to investigate, so called, shattering fragmentation, defined by the complete disintegration (pulverization) of the slender monocrystalline nanoprojectile into the cloud of monatomic debris (m(max) = m(max1) equivalent to 1). The critical impact energy associated with this transition from the stochastic to the deterministic fragment distribution is investigated at two widely different initial temperatures of the slender nanoprojectile while scaling its size in a self-similar manner by varying their widths (diameters) at a fixed aspect ratio. For all but the smallest nanoprojectiles, the minimum achievable m(max) >> m(max1) is discussed based on the physically-limiting striking velocity range.
PB  - Springer, Dordrecht
T2  - Meccanica
T1  - Shattering impact fragmentation of slender nanoprojectiles
EP  - 2306
IS  - 14
SP  - 2295
VL  - 54
DO  - 10.1007/s11012-019-01075-3
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2019",
abstract = "Molecular dynamics simulations of the rigid-anvil collision test are performed to achieve the complete pulverization of slender nanoprojectiles. The simulation setup mimics the traditional Taylor test (the flat-ended nanoscale bars collide with a rough rigid wall) at striking velocities that reach an awesome range from 20 km/s to 120 km/s. The objective is to investigate, so called, shattering fragmentation, defined by the complete disintegration (pulverization) of the slender monocrystalline nanoprojectile into the cloud of monatomic debris (m(max) = m(max1) equivalent to 1). The critical impact energy associated with this transition from the stochastic to the deterministic fragment distribution is investigated at two widely different initial temperatures of the slender nanoprojectile while scaling its size in a self-similar manner by varying their widths (diameters) at a fixed aspect ratio. For all but the smallest nanoprojectiles, the minimum achievable m(max) >> m(max1) is discussed based on the physically-limiting striking velocity range.",
publisher = "Springer, Dordrecht",
journal = "Meccanica",
title = "Shattering impact fragmentation of slender nanoprojectiles",
pages = "2306-2295",
number = "14",
volume = "54",
doi = "10.1007/s11012-019-01075-3"
}

Mastilović, S.. (2019). Shattering impact fragmentation of slender nanoprojectiles. in Meccanica
Springer, Dordrecht., 54(14), 2295-2306.
https://doi.org/10.1007/s11012-019-01075-3

Mastilović S. Shattering impact fragmentation of slender nanoprojectiles. in Meccanica. 2019;54(14):2295-2306.
doi:10.1007/s11012-019-01075-3 .

Mastilović, Sreten, "Shattering impact fragmentation of slender nanoprojectiles" in Meccanica, 54, no. 14 (2019):2295-2306,
https://doi.org/10.1007/s11012-019-01075-3 . .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2018
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1582
AB  - The focus of the present article is on the size effect of a transition region from the damaged to the fragmented phase in impact-induced breakup of a slender projectile. Molecular dynamics simulations of the classic ballistic Taylor test are performed with a simple generic model to explore an extended low energy range. In the simulation setup, flat-ended, monocrystalline, nanoscale projectiles, with a fixed aspect ratio but 10 different diameters, collide perpendicularly with a rough rigid wall. With gradually increasing impact energy, a non-negligible projectile disintegration eventually takes place and is identified with the damage-fragmentation phase transition. These atomistic simulations offer an indispensable tool to gain an insight into damage evolution in the neighborhood of the damage-fragmentation transition resulting in the occurrence of fragmentation at the critical point. A finite size scaling analysis of the average fragment mass is carried out to determine critical exponents and dependence of  the critical striking velocity upon the slender projectile’s diameter.
PB  - SAGE Publications
T2  - International Journal of Damage Mechanics
T1  - Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles
EP  - 217
IS  - 2
SP  - 201
VL  - 27
DO  - 10.1177/1056789516671775
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2018",
abstract = "The focus of the present article is on the size effect of a transition region from the damaged to the fragmented phase in impact-induced breakup of a slender projectile. Molecular dynamics simulations of the classic ballistic Taylor test are performed with a simple generic model to explore an extended low energy range. In the simulation setup, flat-ended, monocrystalline, nanoscale projectiles, with a fixed aspect ratio but 10 different diameters, collide perpendicularly with a rough rigid wall. With gradually increasing impact energy, a non-negligible projectile disintegration eventually takes place and is identified with the damage-fragmentation phase transition. These atomistic simulations offer an indispensable tool to gain an insight into damage evolution in the neighborhood of the damage-fragmentation transition resulting in the occurrence of fragmentation at the critical point. A finite size scaling analysis of the average fragment mass is carried out to determine critical exponents and dependence of  the critical striking velocity upon the slender projectile’s diameter.",
publisher = "SAGE Publications",
journal = "International Journal of Damage Mechanics",
title = "Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles",
pages = "217-201",
number = "2",
volume = "27",
doi = "10.1177/1056789516671775"
}

Mastilović, S.. (2018). Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles. in International Journal of Damage Mechanics
SAGE Publications., 27(2), 201-217.
https://doi.org/10.1177/1056789516671775

Mastilović S. Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles. in International Journal of Damage Mechanics. 2018;27(2):201-217.
doi:10.1177/1056789516671775 .

Mastilović, Sreten, "Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles" in International Journal of Damage Mechanics, 27, no. 2 (2018):201-217,
https://doi.org/10.1177/1056789516671775 . .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2018
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1117
AB  - The objective of the present review is twofold. First, it aims at highlighting some sigmoid and reverse-sigmoid response patterns observed recently in the course of simulations of the high-strain-rate loading of (mostly, quasibrittle) solids. Second, it aims at reviewing various properties of two models used frequently as curve fitting tools for nonlinear and saturable phenomena. These two models-inspired by the Hill and the Weibull cumulative distribution functions-are bounded by two horizontal asymptotes with a smooth transition between the baseline and the final saturation state, characterized by a non-negative (a non-positive) derivative at each point for the sigmoid (the reverse-sigmoid) shape. Although they were used primarily for data fitting because of their flexibility and effectiveness, these nonlinear models possess other properties useful for the analysis of the irreversible, nonlinear and far-from-equilibrium phenomena. The main features of these two models are systematically examined in this review. In spite of the fact that satisfactory curve-fitting of data could not be considered a proof of causality it could underline a pattern of behavior and, perhaps, provide an investigation guidance.
PB  - Srpsko društvo za mehaniku, Beograd
T2  - Theoretical and Applied Mechanics
T1  - Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids
EP  - 119
IS  - 1
SP  - 95
VL  - 45
DO  - 10.2298/TAM171203007M
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2018",
abstract = "The objective of the present review is twofold. First, it aims at highlighting some sigmoid and reverse-sigmoid response patterns observed recently in the course of simulations of the high-strain-rate loading of (mostly, quasibrittle) solids. Second, it aims at reviewing various properties of two models used frequently as curve fitting tools for nonlinear and saturable phenomena. These two models-inspired by the Hill and the Weibull cumulative distribution functions-are bounded by two horizontal asymptotes with a smooth transition between the baseline and the final saturation state, characterized by a non-negative (a non-positive) derivative at each point for the sigmoid (the reverse-sigmoid) shape. Although they were used primarily for data fitting because of their flexibility and effectiveness, these nonlinear models possess other properties useful for the analysis of the irreversible, nonlinear and far-from-equilibrium phenomena. The main features of these two models are systematically examined in this review. In spite of the fact that satisfactory curve-fitting of data could not be considered a proof of causality it could underline a pattern of behavior and, perhaps, provide an investigation guidance.",
publisher = "Srpsko društvo za mehaniku, Beograd",
journal = "Theoretical and Applied Mechanics",
title = "Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids",
pages = "119-95",
number = "1",
volume = "45",
doi = "10.2298/TAM171203007M"
}

Mastilović, S.. (2018). Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids. in Theoretical and Applied Mechanics
Srpsko društvo za mehaniku, Beograd., 45(1), 95-119.
https://doi.org/10.2298/TAM171203007M

Mastilović S. Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids. in Theoretical and Applied Mechanics. 2018;45(1):95-119.
doi:10.2298/TAM171203007M .

Mastilović, Sreten, "Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids" in Theoretical and Applied Mechanics, 45, no. 1 (2018):95-119,
https://doi.org/10.2298/TAM171203007M . .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2017
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1581
AB  - Molecular dynamics simulations of the ballistic Taylor test are used to explore correlation between the largest fragment mass and the impact energy of a projectile as well as a set of selected state variables. Flat-ended, monocrystalline, nanoscale bars collide with a rigid wall with striking velocities ranging from 0.27 km/s to 60 km/s. The investigation emphasis is on two border regions of the emerging nonlinear phenomenological model identified with two transitions: the damage-fragmentation transition and the shattering transition. In between these two nonlinear regions, the maximum fragment mass is largely inversely proportional to the impact energy, and the maximum values of the pressure, temperature, and the square of the efective strain. A reverse-sigmoid phenomenological model is proposed to capture the unifying features of this nonlinear and saturable dependence. A crystallographic orientation dependence of the damage-fragmentation transition parameters is investigated.
PB  - Marcilio Alves
T2  - Latín American Journal of Solids and Structures
T1  - Phenomenology of the Maximum Fragment Mass Dependence Upon Ballistic Impact Parameters
EP  - 1546
IS  - 8
SP  - 1529
VL  - 14
DO  - 10.1590/1679-78253058
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2017",
abstract = "Molecular dynamics simulations of the ballistic Taylor test are used to explore correlation between the largest fragment mass and the impact energy of a projectile as well as a set of selected state variables. Flat-ended, monocrystalline, nanoscale bars collide with a rigid wall with striking velocities ranging from 0.27 km/s to 60 km/s. The investigation emphasis is on two border regions of the emerging nonlinear phenomenological model identified with two transitions: the damage-fragmentation transition and the shattering transition. In between these two nonlinear regions, the maximum fragment mass is largely inversely proportional to the impact energy, and the maximum values of the pressure, temperature, and the square of the efective strain. A reverse-sigmoid phenomenological model is proposed to capture the unifying features of this nonlinear and saturable dependence. A crystallographic orientation dependence of the damage-fragmentation transition parameters is investigated.",
publisher = "Marcilio Alves",
journal = "Latín American Journal of Solids and Structures",
title = "Phenomenology of the Maximum Fragment Mass Dependence Upon Ballistic Impact Parameters",
pages = "1546-1529",
number = "8",
volume = "14",
doi = "10.1590/1679-78253058"
}

Mastilović, S.. (2017). Phenomenology of the Maximum Fragment Mass Dependence Upon Ballistic Impact Parameters. in Latín American Journal of Solids and Structures
Marcilio Alves., 14(8), 1529-1546.
https://doi.org/10.1590/1679-78253058

Mastilović S. Phenomenology of the Maximum Fragment Mass Dependence Upon Ballistic Impact Parameters. in Latín American Journal of Solids and Structures. 2017;14(8):1529-1546.
doi:10.1590/1679-78253058 .

Mastilović, Sreten, "Phenomenology of the Maximum Fragment Mass Dependence Upon Ballistic Impact Parameters" in Latín American Journal of Solids and Structures, 14, no. 8 (2017):1529-1546,
https://doi.org/10.1590/1679-78253058 . .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2016
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1580
AB  - A series of molecular-dynamics simulations of the classic Taylor impact test is performed by using a flat-ended monocrystalline nanoscale projectile made of the Lennard-Jones two-dimensional solid. The nanoprojectile striking velocities range from 0.75 to 7 km/s. These atomistic simulations offer insight into nature of fragment distributions and evolution of state parameters. According to the simulation results, the cumulative distribution of fragment sizes in the course of this non-homogeneous fragmentation process for hypervelocity impacts appears to be well represented by the bimodalexponential distribution commonly observed during high-energy uniform fragmentation events. For more moderate impact velocities, the cumulative distribution of fragment sizes, in addition to the bimodal-exponential part, exhibits a large-fragment tail. Temporal evolutions on instantaneous kinetic temperature, stress and strain invariants are presented and discussed. Scaling relations between temperature/temperature rate and kinematic rates of deformation are suggested.
PB  - SAGE Publications
T2  - Mathematics and Mechanics of Solids
T1  - Molecular-dynamics simulations of the nanoscale Taylor test under extreme loading conditions
EP  - 338
IS  - 3
SP  - 326
VL  - 21
DO  - 10.1177/1081286514522146
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2016",
abstract = "A series of molecular-dynamics simulations of the classic Taylor impact test is performed by using a flat-ended monocrystalline nanoscale projectile made of the Lennard-Jones two-dimensional solid. The nanoprojectile striking velocities range from 0.75 to 7 km/s. These atomistic simulations offer insight into nature of fragment distributions and evolution of state parameters. According to the simulation results, the cumulative distribution of fragment sizes in the course of this non-homogeneous fragmentation process for hypervelocity impacts appears to be well represented by the bimodalexponential distribution commonly observed during high-energy uniform fragmentation events. For more moderate impact velocities, the cumulative distribution of fragment sizes, in addition to the bimodal-exponential part, exhibits a large-fragment tail. Temporal evolutions on instantaneous kinetic temperature, stress and strain invariants are presented and discussed. Scaling relations between temperature/temperature rate and kinematic rates of deformation are suggested.",
publisher = "SAGE Publications",
journal = "Mathematics and Mechanics of Solids",
title = "Molecular-dynamics simulations of the nanoscale Taylor test under extreme loading conditions",
pages = "338-326",
number = "3",
volume = "21",
doi = "10.1177/1081286514522146"
}

Mastilović, S.. (2016). Molecular-dynamics simulations of the nanoscale Taylor test under extreme loading conditions. in Mathematics and Mechanics of Solids
SAGE Publications., 21(3), 326-338.
https://doi.org/10.1177/1081286514522146

Mastilović S. Molecular-dynamics simulations of the nanoscale Taylor test under extreme loading conditions. in Mathematics and Mechanics of Solids. 2016;21(3):326-338.
doi:10.1177/1081286514522146 .

Mastilović, Sreten, "Molecular-dynamics simulations of the nanoscale Taylor test under extreme loading conditions" in Mathematics and Mechanics of Solids, 21, no. 3 (2016):326-338,
https://doi.org/10.1177/1081286514522146 . .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2015
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1590
AB  - Molecular-dynamics simulations of the
classic Taylor experiment are performed to investigate
some general trends of impact fragmentation at ultrahigh
striking velocities. The striking velocities of flatended,
monocrystalline, nanoscale pillars (nanoprojectiles)
range from 0.34 km/s (Mach 1) to 30 km/s to
explore qualitative effects on the fragment mass
distribution. These atomistic simulations offer insight
into evolution of the fragment distribution and its
dependence upon the striking velocity. According to
the simulation results, distribution of the fragment
masses following hypervelocity impacts of energy
sufficient to ensure that the fragmentation problem is
statistically well posed, is well represented by the
bilinear (bimodal) exponential distribution commonly
observed during high-energy homogeneous fragmentation
events. At more moderate striking velocities, a
mixing of fragments from different fragmentation
intensity events—that is, the more pronounced statistical
heterogeneity—results in the distribution of
fragment masses that appears to follow the trilinear
(trimodal) exponential distribution due to the occurrence
of a large-fragment tail in addition to the bilinear
exponential part. The maximum fragment mass is
studied from the standpoint of the striking velocity as
well as a set of state parameters: the instantaneous
kinetic temperature and the selected stress and strain
invariants; corresponding phenomenological relationships
are suggested for the investigated hypervelocity
impact range.
PB  - Springer Nature
T2  - Meccanica
T1  - Impact fragmentation of nanoscale projectiles at ultrahigh striking velocities
EP  - 2367
IS  - 9
SP  - 2353
VL  - 50
DO  - 10.1007/s11012-015-0159-3
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2015",
abstract = "Molecular-dynamics simulations of the
classic Taylor experiment are performed to investigate
some general trends of impact fragmentation at ultrahigh
striking velocities. The striking velocities of flatended,
monocrystalline, nanoscale pillars (nanoprojectiles)
range from 0.34 km/s (Mach 1) to 30 km/s to
explore qualitative effects on the fragment mass
distribution. These atomistic simulations offer insight
into evolution of the fragment distribution and its
dependence upon the striking velocity. According to
the simulation results, distribution of the fragment
masses following hypervelocity impacts of energy
sufficient to ensure that the fragmentation problem is
statistically well posed, is well represented by the
bilinear (bimodal) exponential distribution commonly
observed during high-energy homogeneous fragmentation
events. At more moderate striking velocities, a
mixing of fragments from different fragmentation
intensity events—that is, the more pronounced statistical
heterogeneity—results in the distribution of
fragment masses that appears to follow the trilinear
(trimodal) exponential distribution due to the occurrence
of a large-fragment tail in addition to the bilinear
exponential part. The maximum fragment mass is
studied from the standpoint of the striking velocity as
well as a set of state parameters: the instantaneous
kinetic temperature and the selected stress and strain
invariants; corresponding phenomenological relationships
are suggested for the investigated hypervelocity
impact range.",
publisher = "Springer Nature",
journal = "Meccanica",
title = "Impact fragmentation of nanoscale projectiles at ultrahigh striking velocities",
pages = "2367-2353",
number = "9",
volume = "50",
doi = "10.1007/s11012-015-0159-3"
}

Mastilović, S.. (2015). Impact fragmentation of nanoscale projectiles at ultrahigh striking velocities. in Meccanica
Springer Nature., 50(9), 2353-2367.
https://doi.org/10.1007/s11012-015-0159-3

Mastilović S. Impact fragmentation of nanoscale projectiles at ultrahigh striking velocities. in Meccanica. 2015;50(9):2353-2367.
doi:10.1007/s11012-015-0159-3 .

Mastilović, Sreten, "Impact fragmentation of nanoscale projectiles at ultrahigh striking velocities" in Meccanica, 50, no. 9 (2015):2353-2367,
https://doi.org/10.1007/s11012-015-0159-3 . .

TY  - JOUR
AU  - Rinaldi, Antonio
AU  - Mastilović, Sreten
PY  - 2014
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1586
AB  - The failure in “quasibrittle” microstructural systems, occurring with no early warning, is a debated problem of great practical importance for the structural engineering community. Available models do not fully account for typical sample-size effects observed in fracture initiation and propagation. The Krajcinovic approach (K-approach) proposed here stems from a posthumous interpretation of Krajcinovic’s original ideas and offers a new route to tackle such effects by means of an advanced fractal scheme, which consists of the sequential application of the Family–Vicsek scaling laws for the number of damage events n(ε; L) in the fracture initiation and propagation regimes separately. The procedure is developed and explained in the context of an established lattice models under static tensile testing. Average simulation data for any outer-size L – here ranging from 24 to 192 – is shown to scale nicely by this method, throughout the entire damage process. The proper definition of the damage parameter D allows deploying the deduced scaling laws to deduce the actual stress vs. strain relationship applicable in engineering. The discussion extends with no prejudice to data from real experiments, provided that all necessary information is gathered and all underlying assumptions hold true. The approach shall appeal per se also to the larger scientific community of physicists and mathematicians involved in statistical mechanics and random network failure.
PB  - Elsevier
T2  - Mechanics of Materials
T1  - The Krajcinovic approach to model size dependent fracture in quasi-brittle solids
EP  - 33
SP  - 21
VL  - 71
DO  - 10.1016/j.mechmat.2014.01.005
ER  - 

@article{
author = "Rinaldi, Antonio and Mastilović, Sreten",
year = "2014",
abstract = "The failure in “quasibrittle” microstructural systems, occurring with no early warning, is a debated problem of great practical importance for the structural engineering community. Available models do not fully account for typical sample-size effects observed in fracture initiation and propagation. The Krajcinovic approach (K-approach) proposed here stems from a posthumous interpretation of Krajcinovic’s original ideas and offers a new route to tackle such effects by means of an advanced fractal scheme, which consists of the sequential application of the Family–Vicsek scaling laws for the number of damage events n(ε; L) in the fracture initiation and propagation regimes separately. The procedure is developed and explained in the context of an established lattice models under static tensile testing. Average simulation data for any outer-size L – here ranging from 24 to 192 – is shown to scale nicely by this method, throughout the entire damage process. The proper definition of the damage parameter D allows deploying the deduced scaling laws to deduce the actual stress vs. strain relationship applicable in engineering. The discussion extends with no prejudice to data from real experiments, provided that all necessary information is gathered and all underlying assumptions hold true. The approach shall appeal per se also to the larger scientific community of physicists and mathematicians involved in statistical mechanics and random network failure.",
publisher = "Elsevier",
journal = "Mechanics of Materials",
title = "The Krajcinovic approach to model size dependent fracture in quasi-brittle solids",
pages = "33-21",
volume = "71",
doi = "10.1016/j.mechmat.2014.01.005"
}

Rinaldi, A.,& Mastilović, S.. (2014). The Krajcinovic approach to model size dependent fracture in quasi-brittle solids. in Mechanics of Materials
Elsevier., 71, 21-33.
https://doi.org/10.1016/j.mechmat.2014.01.005

Rinaldi A, Mastilović S. The Krajcinovic approach to model size dependent fracture in quasi-brittle solids. in Mechanics of Materials. 2014;71:21-33.
doi:10.1016/j.mechmat.2014.01.005 .

Rinaldi, Antonio, Mastilović, Sreten, "The Krajcinovic approach to model size dependent fracture in quasi-brittle solids" in Mechanics of Materials, 71 (2014):21-33,
https://doi.org/10.1016/j.mechmat.2014.01.005 . .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2013
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1589
AB  - An idealized brittle microscale system is subjected to dynamic uniaxial tension in the medium-tohigh
strain-rate range (˙ε ∈ [100 s−1, 1×107 s−1]) to investigate its mechanical response under constrained
spatial and temporal scales. The setup of dynamic simulations is designed to ensure practically identical inplane
stress conditions on a system of continuum particles forming a two-dimensional, geometrically and
structurally disordered, lattice. The rate sensitivity of size effects is observed as well as the ordering effect
of kinetic energy. A simple phenomenological expression is developed to account for the tensile strength
sensitivity of the small-sized brittle systems to the strain-rate and extrinsic size effects, which may serve as a
guideline for formulation of constitutive relations in the MEMS design. The representative sample is defined
as a square lattice size for which the tensile strength becomes rate-insensitive and an expression is proposed
to model its evolution between two asymptotes corresponding to the limiting loading rates. The dynamics of
damage accumulation is analyzed as a function of sample size and loading rate.
PB  - Springer Nature
T2  - Continuum Mechanics and Thermodynamics
T1  - On strain-rate sensitivity and size effect of brittle solids: transition from cooperative phenomena to microcrack nucleation
EP  - 501
IS  - 2-4
SP  - 489
VL  - 25
DO  - 10.1007/s00161-012-0279-0
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2013",
abstract = "An idealized brittle microscale system is subjected to dynamic uniaxial tension in the medium-tohigh
strain-rate range (˙ε ∈ [100 s−1, 1×107 s−1]) to investigate its mechanical response under constrained
spatial and temporal scales. The setup of dynamic simulations is designed to ensure practically identical inplane
stress conditions on a system of continuum particles forming a two-dimensional, geometrically and
structurally disordered, lattice. The rate sensitivity of size effects is observed as well as the ordering effect
of kinetic energy. A simple phenomenological expression is developed to account for the tensile strength
sensitivity of the small-sized brittle systems to the strain-rate and extrinsic size effects, which may serve as a
guideline for formulation of constitutive relations in the MEMS design. The representative sample is defined
as a square lattice size for which the tensile strength becomes rate-insensitive and an expression is proposed
to model its evolution between two asymptotes corresponding to the limiting loading rates. The dynamics of
damage accumulation is analyzed as a function of sample size and loading rate.",
publisher = "Springer Nature",
journal = "Continuum Mechanics and Thermodynamics",
title = "On strain-rate sensitivity and size effect of brittle solids: transition from cooperative phenomena to microcrack nucleation",
pages = "501-489",
number = "2-4",
volume = "25",
doi = "10.1007/s00161-012-0279-0"
}

Mastilović, S.. (2013). On strain-rate sensitivity and size effect of brittle solids: transition from cooperative phenomena to microcrack nucleation. in Continuum Mechanics and Thermodynamics
Springer Nature., 25(2-4), 489-501.
https://doi.org/10.1007/s00161-012-0279-0

Mastilović S. On strain-rate sensitivity and size effect of brittle solids: transition from cooperative phenomena to microcrack nucleation. in Continuum Mechanics and Thermodynamics. 2013;25(2-4):489-501.
doi:10.1007/s00161-012-0279-0 .

Mastilović, Sreten, "On strain-rate sensitivity and size effect of brittle solids: transition from cooperative phenomena to microcrack nucleation" in Continuum Mechanics and Thermodynamics, 25, no. 2-4 (2013):489-501,
https://doi.org/10.1007/s00161-012-0279-0 . .

TY  - JOUR
AU  - Gburcik, Verica
AU  - Mastilović, Sreten
AU  - Vučinić, Željko
PY  - 2013
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/708
AB  - Serbia aims to improve the composition of its energy sources and increase the contribution of renewable and sustainable energies to meet its growing electricity production demand. Results of many studies and numerous measurement campaigns suggest that Serbia has a considerable potential for the solar and wind energy utilization for electricity generation. The objective of this article is to present a brief assessment of these solar and wind resources. Meteorological data from a network of meteorological stations covering a period of 30 yr are used to obtain annual energy density distributions from these two climatic sources. These results, summarizing in an abbreviated form comprehensive research efforts culminating in the last decade, are presented in an archival publication for the first time. This assessment indicates that southern and southeastern Serbia are very good regions for the solar energy utilization. Southern Banat, mountain ranges of eastern and southeastern Serbia, and the lower Danube river valley are the most promising regions for the wind power plant constructions. Final objective of this article is to show that the problem of individual intermittency of wind and solar power potentials could be compensated in Serbia by their complementary character.
PB  - Amer Inst Physics, Melville
T2  - Journal of Renewable and Sustainable Energy
T1  - Assessment of solar and wind energy resources in Serbia
IS  - 4
VL  - 5
DO  - 10.1063/1.4819504
ER  - 

@article{
author = "Gburcik, Verica and Mastilović, Sreten and Vučinić, Željko",
year = "2013",
abstract = "Serbia aims to improve the composition of its energy sources and increase the contribution of renewable and sustainable energies to meet its growing electricity production demand. Results of many studies and numerous measurement campaigns suggest that Serbia has a considerable potential for the solar and wind energy utilization for electricity generation. The objective of this article is to present a brief assessment of these solar and wind resources. Meteorological data from a network of meteorological stations covering a period of 30 yr are used to obtain annual energy density distributions from these two climatic sources. These results, summarizing in an abbreviated form comprehensive research efforts culminating in the last decade, are presented in an archival publication for the first time. This assessment indicates that southern and southeastern Serbia are very good regions for the solar energy utilization. Southern Banat, mountain ranges of eastern and southeastern Serbia, and the lower Danube river valley are the most promising regions for the wind power plant constructions. Final objective of this article is to show that the problem of individual intermittency of wind and solar power potentials could be compensated in Serbia by their complementary character.",
publisher = "Amer Inst Physics, Melville",
journal = "Journal of Renewable and Sustainable Energy",
title = "Assessment of solar and wind energy resources in Serbia",
number = "4",
volume = "5",
doi = "10.1063/1.4819504"
}

Gburcik, V., Mastilović, S.,& Vučinić, Ž.. (2013). Assessment of solar and wind energy resources in Serbia. in Journal of Renewable and Sustainable Energy
Amer Inst Physics, Melville., 5(4).
https://doi.org/10.1063/1.4819504

Gburcik V, Mastilović S, Vučinić Ž. Assessment of solar and wind energy resources in Serbia. in Journal of Renewable and Sustainable Energy. 2013;5(4).
doi:10.1063/1.4819504 .

Gburcik, Verica, Mastilović, Sreten, Vučinić, Željko, "Assessment of solar and wind energy resources in Serbia" in Journal of Renewable and Sustainable Energy, 5, no. 4 (2013),
https://doi.org/10.1063/1.4819504 . .

TY  - JOUR
AU  - Mastilović, Sreten
PY  - 2011
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1588
AB  - This article illuminates some general features and provides elementary
interpretations of the deformation, damage, and failure of brittle solids characterized
by very low fracture energy. The dynamic response of these materials is determined
to a large extent by stochastic and random factors. The investigation emphasis is on
the moderate-to-extremely high rate range (10 s 1, 1 109 s 1), explored under practically
identical in-plane stress conditions. The statistical approach is based on
repeated particle dynamics simulations for different physical realizations of micromechanical
disorder of a 2D brittle discrete system. The proposed strategy is computationally
intensive, which necessitates simplicity of the laws governing the
interparticular interaction. Based on the simulation results, an expression is proposed
to model the mean tensile strength dependence on the strain rate. The linearity
of the rate dependence of the stress-peak macroscopic response parameters is
observed and discussed.
PB  - SAGE Publications
T2  - International Journal of Damage Mechanics
T1  - Further Remarks on Stochastic Damage Evolution of Brittle Solids Under Dynamic Tensile Loading
EP  - 921
IS  - 6
SP  - 900
VL  - 20
DO  - 10.1177/1056789510385294
ER  - 

@article{
author = "Mastilović, Sreten",
year = "2011",
abstract = "This article illuminates some general features and provides elementary
interpretations of the deformation, damage, and failure of brittle solids characterized
by very low fracture energy. The dynamic response of these materials is determined
to a large extent by stochastic and random factors. The investigation emphasis is on
the moderate-to-extremely high rate range (10 s 1, 1 109 s 1), explored under practically
identical in-plane stress conditions. The statistical approach is based on
repeated particle dynamics simulations for different physical realizations of micromechanical
disorder of a 2D brittle discrete system. The proposed strategy is computationally
intensive, which necessitates simplicity of the laws governing the
interparticular interaction. Based on the simulation results, an expression is proposed
to model the mean tensile strength dependence on the strain rate. The linearity
of the rate dependence of the stress-peak macroscopic response parameters is
observed and discussed.",
publisher = "SAGE Publications",
journal = "International Journal of Damage Mechanics",
title = "Further Remarks on Stochastic Damage Evolution of Brittle Solids Under Dynamic Tensile Loading",
pages = "921-900",
number = "6",
volume = "20",
doi = "10.1177/1056789510385294"
}

Mastilović, S.. (2011). Further Remarks on Stochastic Damage Evolution of Brittle Solids Under Dynamic Tensile Loading. in International Journal of Damage Mechanics
SAGE Publications., 20(6), 900-921.
https://doi.org/10.1177/1056789510385294

Mastilović S. Further Remarks on Stochastic Damage Evolution of Brittle Solids Under Dynamic Tensile Loading. in International Journal of Damage Mechanics. 2011;20(6):900-921.
doi:10.1177/1056789510385294 .

Mastilović, Sreten, "Further Remarks on Stochastic Damage Evolution of Brittle Solids Under Dynamic Tensile Loading" in International Journal of Damage Mechanics, 20, no. 6 (2011):900-921,
https://doi.org/10.1177/1056789510385294 . .