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
AU  - Rinaldi, Antonio
AU  - Krajcinovic, Dusan
PY  - 2008
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1585
AB  - The present study focuses on the plane strain problem of medium-to-high strain-rate loading of an idealized brittle material with random microstructure. The material is represented by an ensemble of “continuum particles” forming a two-dimensional geometrically and structurally disordered lattice. Performing repeated lattice simulations for different physical realizations of the microstructural statistics offers possibility to investigate universal trends in which the disorder and loading rate influence mechanical behavior of the material. The dynamic simulations of the homogeneous uniaxial tension test are performed under practically identical inplane conditions although they span nine decades of strain rate. The results indicate that the increase of the dynamic strength with the loading-power increase is also accompanied with a significant reduction of the strength dispersion. At the same time, increase in the loading rate results in transition from random to deterministic damage evolution patterns. This ordering effect of kinetic energy is attributed to the diminishing flaw sensitivity of brittle materials with the loading-rate increase. The uniformity of damage evolution patterns indicates an absence of the cooperative phenomena in the upper strain-rate range, in opposition to the coalescence of microcracks into microcrack clouds, which may represent the dominant toughening mechanism in brittle materials not susceptible to dislocation activities.
PB  - Elsevier
T2  - Mechanics of Materials
T1  - Ordering effect of kinetic energy on dynamic deformation of brittle solids
EP  - 417
IS  - 4-5
SP  - 407
VL  - 40
DO  - 10.1016/j.mechmat.2007.10.003
ER  - 

@article{
author = "Mastilović, Sreten and Rinaldi, Antonio and Krajcinovic, Dusan",
year = "2008",
abstract = "The present study focuses on the plane strain problem of medium-to-high strain-rate loading of an idealized brittle material with random microstructure. The material is represented by an ensemble of “continuum particles” forming a two-dimensional geometrically and structurally disordered lattice. Performing repeated lattice simulations for different physical realizations of the microstructural statistics offers possibility to investigate universal trends in which the disorder and loading rate influence mechanical behavior of the material. The dynamic simulations of the homogeneous uniaxial tension test are performed under practically identical inplane conditions although they span nine decades of strain rate. The results indicate that the increase of the dynamic strength with the loading-power increase is also accompanied with a significant reduction of the strength dispersion. At the same time, increase in the loading rate results in transition from random to deterministic damage evolution patterns. This ordering effect of kinetic energy is attributed to the diminishing flaw sensitivity of brittle materials with the loading-rate increase. The uniformity of damage evolution patterns indicates an absence of the cooperative phenomena in the upper strain-rate range, in opposition to the coalescence of microcracks into microcrack clouds, which may represent the dominant toughening mechanism in brittle materials not susceptible to dislocation activities.",
publisher = "Elsevier",
journal = "Mechanics of Materials",
title = "Ordering effect of kinetic energy on dynamic deformation of brittle solids",
pages = "417-407",
number = "4-5",
volume = "40",
doi = "10.1016/j.mechmat.2007.10.003"
}

Mastilović, S., Rinaldi, A.,& Krajcinovic, D.. (2008). Ordering effect of kinetic energy on dynamic deformation of brittle solids. in Mechanics of Materials
Elsevier., 40(4-5), 407-417.
https://doi.org/10.1016/j.mechmat.2007.10.003

Mastilović S, Rinaldi A, Krajcinovic D. Ordering effect of kinetic energy on dynamic deformation of brittle solids. in Mechanics of Materials. 2008;40(4-5):407-417.
doi:10.1016/j.mechmat.2007.10.003 .

Mastilović, Sreten, Rinaldi, Antonio, Krajcinovic, Dusan, "Ordering effect of kinetic energy on dynamic deformation of brittle solids" in Mechanics of Materials, 40, no. 4-5 (2008):407-417,
https://doi.org/10.1016/j.mechmat.2007.10.003 . .