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@article{Gurrutxaga-Lerma:2013:10.1098/rspa.2013.0141,
author = {Gurrutxaga-Lerma, B and Balint, D and Dini, D and Eakins, D and Sutton, A},
doi = {10.1098/rspa.2013.0141},
journal = {Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences},
title = {A dynamic discrete dislocation plasticity method for the simulation of plastic relaxation under shock loading},
url = {http://dx.doi.org/10.1098/rspa.2013.0141},
volume = {469},
year = {2013}
}
TY - JOUR
AB - In this article, it is demonstrated that current methods of modelling plasticity as the collective motion of discrete dislocations, such as two-dimensional discrete dislocation plasticity (DDP), are unsuitable for the simulation of very high strain rate processes (106 s−1 or more) such as plastic relaxation during shock loading. Current DDP models treat dislocations quasi-statically, ignoring the time-dependent nature of the elastic fields of dislocations. It is shown that this assumption introduces unphysical artefacts into the system when simulating plasticity resulting from shock loading. This deficiency can be overcome only by formulating a fully time-dependent elastodynamic description of the elastic fields of discrete dislocations. Building on the work of Markenscoff & Clifton, the fundamental time-dependent solutions for the injection and non-uniform motion of straight edge dislocations are presented. The numerical implementation of these solutions for a single moving dislocation and for two annihilating dislocations in an infinite plane are presented. The application of these solutions in a two-dimensional model of time-dependent plasticity during shock loading is outlined here and will be presented in detail elsewhere.
AU - Gurrutxaga-Lerma,B
AU - Balint,D
AU - Dini,D
AU - Eakins,D
AU - Sutton,A
DO - 10.1098/rspa.2013.0141
PY - 2013///
SN - 1364-5021
TI - A dynamic discrete dislocation plasticity method for the simulation of plastic relaxation under shock loading
T2 - Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
UR - http://dx.doi.org/10.1098/rspa.2013.0141
UR - http://rspa.royalsocietypublishing.org/content/469/2156/20130141.full
UR - http://rspa.royalsocietypublishing.org/
UR - http://hdl.handle.net/10044/1/11206
VL - 469
ER -