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ArticleOriginal scientific text

Title

Analysis of a frictionless contact problem for elastic bodies

Authors 1, 2, 3

Affiliations

  1. Institute of Mathematics, University of Setif, 19000 Setif, Algeria
  2. Department of Mathematics, University of Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France
  3. Institute of Mathematics, University of Constantine, 25000 Constantine, Algeria

Abstract

This paper deals with a nonlinear problem modelling the contact between an elastic body and a rigid foundation. The elastic constitutive law is assumed to be nonlinear and the contact is modelled by the well-known Signorini conditions. Two weak formulations of the model are presented and existence and uniqueness results are established using classical arguments of elliptic variational inequalities. Some equivalence results are presented and a strong convergence result involving a penalized problem is also proved.

Keywords

ENG
frictionless contact, elastic body, variational inequality, monotone operator, penalized problem

Bibliography

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Annales Polonici Mathematici
1998/69/1
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Pages:
75-88
Main language of publication
English
Published
1998
Exact and natural sciences