Journal article
A finite deformation theory of higher-order gradient crystal plasticity
For higher-order gradient crystal plasticity, a finite deformation formulation is presented. The theory does not deviate much from the conventional crystal plasticity theory. Only a back stress effect and additional differential equations for evolution of the geometrically necessary dislocation (GND) densities supplement the conventional theory within a non-work-conjugate framework in which there is no need to introduce higher-order microscopic stresses that would be work-conjugate to slip rate gradients.
We discuss its connection to a work-conjugate type of finite deformation gradient crystal plasticity that is based on an assumption of the existence of higher-order stresses. Furthermore, a boundary-value problem for simple shear of a constrained thin strip is studied numerically, and some characteristic features of finite deformation are demonstrated through a comparison to a solution for the small deformation theory.
As in a previous formulation for small deformation, the present formulation applies to the context of multiple and three-dimensional slip deformations. (C) 2008 Elsevier Ltd. All rights reserved.
Language: | English |
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Year: | 2008 |
Pages: | 2573-2584 |
ISSN: | 18734782 and 00225096 |
Types: | Journal article |
DOI: | 10.1016/j.jmps.2008.03.010 |