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

页码：99 / 124

页数：26

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