Quasistatic evolution in the theory of perfect elasto-plastic plates. Part II: Regularity of bending moments

被引：4

作者：

Demyanov, A. ^{[1
]}

机构：

[1] SISSA, I-34014 Trieste, Italy

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 06期

关键词：

Quasistatic evolution; Rate independent processes; Elasto-plastic plates; Regularity of solutions; VARIATIONAL-PROBLEMS; PLASTIC MATERIALS; DIFFERENTIABILITY;

D O I：

10.1016/j.anihpc.2009.01.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study differentiability of solutions of quasistatic problems for perfect clasto-plastic plates. We prove that in the isotropic case bending moments has locally square-integrable first derivatives: M is an element of L(infinity)([0, T]; W(loc)(1,2)(Omega; M(sym)(2x2))). The result is based on discretization of time and uniform estimates of solutions of the incremental problems, which generalize the estimates in the static case of perfect elasto-plastic plates. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：2137 / 2163

页数：27

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