Variational Evolution of Dislocations in Single Crystals

被引：0
|
作者：
Riccardo Scala
Nicolas Van Goethem
机构：
[1] Alameda da Universidade,Universidade de Lisboa, Faculdade de Ciências, CMAF_CIO
来源：
Journal of Nonlinear Science | 2019年 / 29卷
关键词：
Dislocation clusters; Finite elasticity; Time evolution; Energetic solutions; Variational method; 35Q74; 74B20; 35A15; 74G65; 49Q15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we provide an existence result for the energetic evolution of a set of dislocation lines in a three-dimensional single crystal. The variational problem consists of a polyconvex stored elastic energy plus a dislocation energy and some higher-order terms. The dislocations are modeled by means of integral one-currents. Moreover, we discuss a novel dissipation structure for such currents, namely the flat distance, that will serve to drive the evolution of the dislocation clusters.
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页码：319 / 344
页数：25
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