Non-uniform plastic deformations of crystals undergoing anti-plane constrained shear
Materials Science
2018-01-17 v1
Abstract
The present paper studies non-uniform plastic deformations of crystals undergoing anti-plane constrained shear. The asymptotically exact energy density of crystals containing a moderately large density of excess dislocations is found by the averaging procedure. This energy density is extrapolated to the cases of extremely small or large dislocation densities. By incorporating the configurational temperature and the density of redundant dislocations, we develop the thermodynamic dislocation theory for non-uniform plastic deformations and use it to predict the stress-strain curves and the dislocation densities.
Keywords
Cite
@article{arxiv.1801.05304,
title = {Non-uniform plastic deformations of crystals undergoing anti-plane constrained shear},
author = {Khanh Chau Le and Yinguang Piao},
journal= {arXiv preprint arXiv:1801.05304},
year = {2018}
}
Comments
21 pages, 12 figures. arXiv admin note: text overlap with arXiv:1705.08794