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@article{Gurrutxaga-Lerma:2014:10.1016/B978-0-12-800130-1.00002-3,
author = {Gurrutxaga-Lerma, B and Balint, DS and Dini, D and Eakins, DE and Sutton, A},
doi = {10.1016/B978-0-12-800130-1.00002-3},
journal = {Advances in Applied Mechanics},
title = {Dynamic Discrete Dislocation Plasticity},
url = {http://dx.doi.org/10.1016/B978-0-12-800130-1.00002-3},
volume = {47},
year = {2014}
}
TY - JOUR
AB - This chapter concerns with dynamic discrete dislocation plasticity (D3P), a two- dimensional method of discrete dislocation dynamics aimed at the study of plastic relaxation processes in crystalline materials subjected to weak shock loading. Traditionally, the study of plasticity under weak shock loading and high strain rate has been based on direct experimental measurement of the macroscopic response of the material. Using these data, well-known macroscopic constitutive laws and equations of state have been formulated. However, direct simulation of dislocations as the dynamic agents of plastic relaxation in those circumstances remains a challenge. In discrete dislocation dynamics (DDD) methods, in particular the two-dimensional discrete dislocation plasticity (DDP), the dislocations are modeled as discrete discontinuities in an elastic continuum. However, current DDP and DDD methods are unable to adequately simulate plastic relaxation because they treat dislocation motion quasi- statically, thus neglecting the time-dependent nature of the elastic elds and assuming that they instantaneously acquire the shape and magnitude predicted by elastostatics. This chapter reproduces the ndings by Gurrutxaga-Lerma, Balint, Dini, Eakins, and Sutton (2013), who proved that under shock loading, this assumption leads to models that invariably break causality, introducing numerous artifacts that invalidate quasi- static simulation techniques. This chapter posits that these limitations can only be overcome with a fully time-dependent formulation of the elastic elds of dislocations. In this chapter, following the works of Markensco and Clifton (1981) and Gurrutxaga- Lerma et al. (2013), a truly dynamic formulation for the creation, annihilation, and nonuniform motion of straight edge dislocations is derived. These solutions extend the DDP framework to a fully elastodynamic formulation that has been called dynamic discrete dislocation plasticity (D3P). This chapter describes the s
AU - Gurrutxaga-Lerma,B
AU - Balint,DS
AU - Dini,D
AU - Eakins,DE
AU - Sutton,A
DO - 10.1016/B978-0-12-800130-1.00002-3
PY - 2014///
SN - 0065-2156
TI - Dynamic Discrete Dislocation Plasticity
T2 - Advances in Applied Mechanics
UR - http://dx.doi.org/10.1016/B978-0-12-800130-1.00002-3
VL - 47
ER -