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

Bojarski Jaroslaw L. | Zendy; De Schepper Hennie | Zendy

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

Author(s) -

Bojarski Jaroslaw L.,

De Schepper Hennie

Publication year - 2002

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.308

Subject(s) - mathematics , regularization (linguistics) , plasticity , von mises yield criterion , nonlinear system , mathematical analysis , thermodynamics , finite element method , physics , quantum mechanics , artificial intelligence , computer science

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 © 2002 John Wiley & Sons, Ltd.

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