EXISTENCE RESULT FOR A DISLOCATION BASED MODEL OF SINGLE CRYSTAL GRADIENT PLASTICITY WITH ISOTROPIC OR LINEAR KINEMATIC HARDENING

被引：6
|
作者：
Ebobisse, Francois [1 ]
Neff, Patrizio [2 ]
Aifantis, Elias C. [3 ]
机构：
[1] Univ Cape Town, Dept Math & Appl Math, ZA-7700 Rondebosch, South Africa
[2] Univ Duisburg Essen, Fak Math, Lehrstuhl Nichtlineare Anal & Modellierung, Thea Leymann Str 9, D-45127 Essen, Germany
[3] Aristotle Univ Thessaloniki, Polytech Sch, Lab Mech & Mat, Thessaloniki GR-54124, Greece
来源：
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 2018年 / 71卷 / 01期
关键词：
DISCONTINUOUS GALERKIN FORMULATION; KORNS 1ST INEQUALITY; IRROTATIONAL MATERIALS; PART I; BOUNDARY-CONDITIONS; SMALL-DEFORMATION; WELL-POSEDNESS; BURGERS VECTOR; TENSOR-FIELDS; SCALE;
D O I：
10.1093/qjmam/hbx026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a dislocation-based rate-independent model of single crystal gradient plasticity with isotropic or linear kinematic hardening. The model is weakly formulated through the so-called primal form of the flow rule as a variational inequality for which a result of existence and uniqueness is obtained using the functional analytical framework developed by Han-Reddy.
引用
收藏
页码：99 / 124
页数：26
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