On boundary regularity for the stress in problems of linearized elasto-plasticity

被引：0
|
作者：
M. Bulíček
J. Frehse
J. Málek
机构：
[1] Mathematical Institute of Charles University,
[2] Institute of Applied Mathematics,undefined
来源：
International Journal of Advances in Engineering Sciences and Applied Mathematics | 2009年 / 1卷 / 4期
关键词：
Unbounded Domain; Dual Formulation; Plasticity Theory; Boundary Regularity; Tangential Derivative;
D O I：
10.1007/s12572-010-0001-z
中图分类号：
学科分类号：
摘要：
We investigate regularity properties of the stress tensor near the boundary for models of elasto-plasticity in arbitrary dimension. Focusing on special geometries, namely on balls and infinite strips, we obtain L2-estimates for the tangential derivatives of the stress tensor near the boundary. We indicate why these estimates may fail for more general domains. In addition, we establish L2-estimates for (the trace of) the stress tensor on the boundary.
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页码：141 / 156
页数：15
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