On strain-rate sensitivity and size effect of brittle solids: transition from cooperative phenomena to microcrack nucleation
Апстракт
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 evolutio...n 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.
Кључне речи:
Lattice models / Brittle solids / Disordered system / Representative volume element / Size effect / Strain-rate effect / Scaling exponentsИзвор:
Continuum Mechanics and Thermodynamics, 2013, 25, 2-4, 489-501Издавач:
- Springer Nature
Финансирање / пројекти:
- Matematički Modeli i Metode Optimizacije Velikih Sistema (RS-174010)
Институција/група
Institut za multidisciplinarna istraživanjaTY - 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 . .