Thermodynamic dislocation theory: Finite deformations
Materials Science
2019-02-20 v1
Abstract
The present paper extends the thermodynamic dislocation theory initiated by Langer, Bouchbinder and Lookman [2010] to non-uniform finite plastic deformations. The equations of motion are derived from the variational equation involving the free energy density and the positive definite dissipation function. We also consider the simplified theory by neglecting the excess dislocations. For illustration, the problem of finite strain constrained shear of single crystals with one active slip system is solved within the proposed theory.
Keywords
Cite
@article{arxiv.1902.06761,
title = {Thermodynamic dislocation theory: Finite deformations},
author = {Khanh Chau Le},
journal= {arXiv preprint arXiv:1902.06761},
year = {2019}
}
Comments
25 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1705.08794