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The l.s.c. regularization of the Signorini problem in plasticity

✍ Scribed by Jaroslaw L. Bojarski; Hennie De Schepper

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
178 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper we study the problem of the lower semicontinuous (l.s.c.) regularization of the Signorini problem in Hencky plasticity for a special class of elastic‐perfectly plastic solids. We show that the relaxation given by Bojarski (Nonlinear Analysis, Theory, Methods & Applications 1997; 29(10) 1091) is the l.s.c. regularization of the Signorini problem in the case that the elastic‐perfectly plastic potential sastisfies a specific condition, which is a modification of the von Mises plastic principle. Moreover, we show the relation between the relaxation proposed by Suquet (Non‐smooth Mechanics and Applications. Springer Verlag: Wien, 1988) and the relaxation proposed by Kohn and Temam (Applied Mathematics and Optimization 1993; 10(1):1). Copyright Β© 2002 John Wiley & Sons, Ltd.

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## Abstract We study the regularity in Sobolev spaces of the solution of transmission problems in a polygonal domain of the plane, with unilateral boundary conditions of Signorini's type in a part of the boundary and Dirichlet or Neumann boundary conditions on the remainder part. We use a penalizat