Three-dimensional continuum dislocation theory

被引：11
|
作者：
Le, K. C. [1 ]
机构：
[1] Ruhr Univ Bochum, Lehrstuhl Mech Mat Theorie, D-44780 Bochum, Germany
来源：
INTERNATIONAL JOURNAL OF PLASTICITY | 2016年 / 76卷
关键词：
Dislocations; Crystal plasticity; Finite strain; Variational calculus; PLANE CONSTRAINED SHEAR; CRYSTAL PLASTICITY; SINGLE-CRYSTALS; GRADIENT THEORY; MODEL; DEFORMATION; DYNAMICS; BOUNDARIES; EVOLUTION;
D O I：
10.1016/j.ijplas.2015.07.008
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A three-dimensional continuum dislocation theory for single crystals containing curved dislocations is proposed. A set of governing equations and boundary conditions is derived for the true placement, plastic slips, and loop functions in equilibrium that minimize the free energy of crystal among all admissible functions, provided the resistance to dislocation motion is negligible. For the non-vanishing resistance to dislocation motion the governing equations are derived from the variational equation that includes the dissipation function. A simplified theory for small strains is also provided. An asymptotic solution is found for the two-dimensional problem of a single crystal beam deforming in single slip and simple shear. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：213 / 230
页数：18
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