A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is assumed to occur through a series of local reorganizations. Using a discretization of the mechanical fields on a discrete lattice, local reorganizations are modeled as local slip events. Local yield stresses are randomly distributed in space and invariant in time. Each plastic slip event induces an Eshelby-like long-ranged elastic stress redistribution. Focusing on quasi-static loadings and zero-temperature limit, extremal dynamics allows for recovering many of the complex features of amorphous plasticity observed experimentally and in numerical atomistic simulations in the quasi-static regime. In particular, a quantitative picture of localization, and of the anisotropic strain correlation both in the initial transient regime, and in the steady state are provided.
@article{CRMECA_2012__340_4-5_275_0,
author = {Mehdi Talamali and Viljo Pet\"aj\"a and Damien Vandembroucq and St\'ephane Roux},
title = {Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity},
journal = {Comptes Rendus. M\'ecanique},
pages = {275--288},
publisher = {Elsevier},
volume = {340},
number = {4-5},
year = {2012},
doi = {10.1016/j.crme.2012.02.010},
language = {en},
}
TY - JOUR AU - Mehdi Talamali AU - Viljo Petäjä AU - Damien Vandembroucq AU - Stéphane Roux TI - Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity JO - Comptes Rendus. Mécanique PY - 2012 SP - 275 EP - 288 VL - 340 IS - 4-5 PB - Elsevier DO - 10.1016/j.crme.2012.02.010 LA - en ID - CRMECA_2012__340_4-5_275_0 ER -
%0 Journal Article %A Mehdi Talamali %A Viljo Petäjä %A Damien Vandembroucq %A Stéphane Roux %T Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity %J Comptes Rendus. Mécanique %D 2012 %P 275-288 %V 340 %N 4-5 %I Elsevier %R 10.1016/j.crme.2012.02.010 %G en %F CRMECA_2012__340_4-5_275_0
Mehdi Talamali; Viljo Petäjä; Damien Vandembroucq; Stéphane Roux. Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity. Comptes Rendus. Mécanique, Volume 340 (2012) no. 4-5, pp. 275-288. doi : 10.1016/j.crme.2012.02.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.02.010/
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