Hloc1-stress and strain regularity in Cosserat plasticity

被引：12

作者：

Chelminski, Krzysztof ^{[1
]}

Neff, Patrizio ^{[2
]}

机构：

[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland

[2] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2009年 / 89卷 / 04期

关键词：

Plasticity; visco-plasticity; polar-materials; non-simple materials; solid mechanics; elliptic systems; regularity theory; Cosserat model; EXISTENCE; BOUNDARY; MODEL;

D O I：

10.1002/zamm.200800123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show H-loc(1)-regularity of the Cauchy stress tensor and H-loc(1)-regularity of the infinitesimal strain tensor and the plastic strain tensor in infinitesimal Cosserat plasticity with monotone flow rule. We use energy estimates for difference quotients. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：257 / 266

页数：10

共 23 条

[1] ALBER HD, 2009, ASYMPTOTIC IN PRESS
[2] [Anonymous], PRIKL MAT MEKH
[3] [Anonymous], 1996, COMMENT MATH U CAROL
[4] Chelminski K, 2008, Q APPL MATH, V66, P351
[5] DEMYANOV A, 2007, ANAL NUMERICS RATE I
[6] Boundary regularity results for models of elasto-perfect plasticity
Frehse, J
Málek, J
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1999, 9 (09) : 1307 - 1321
[7] Holder continuity for the displacements in isotropic and kinematic hardening with von Mises yield criterion
Frehse, Jens
Loebach, Dominique
[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2008, 88 (08): : 617 - 629
[8] Incompatible deformations - plastic intermediate configuration
Grammenoudis, Paschalis
Tsakmakis, Charalampos
[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2008, 88 (05): : 403 - 432
[9] KNEES D, 2008, 1337 WIAS
[10] Global stress regularity of convex and some nonconvex variational problems
Knees, Dorothee
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2008, 187 (01) : 157 - 184

← 1 2 3 →