On the behaviour of the solution to a viscoplastic contact problem

Abstract

The present paper represents a continuation of [2]. There, a quasistatic contact problem for viscoplastic materials was considered, in which the contact was assumed to be frictionless and was described with normal compliance and unilateral constraint; the unique weak solvability of the problem was proved, a fully discrete scheme for the numerical approximation of the problem was described and numerical simulations were presented. In the present paper we analyse the dependence of the solution of the viscoplastic contact problem in [2] with respect to the data. We state and prove a convergence result, Theorem 3.1, then we illustrate its validity in the study of a two-dimensional numerical example.

Authors

Mikael Barboteu
(Laboratoire de Mathématiques et Physique, Université de Perpignan)

Flavius Patrulescu
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

(Laboratoire de Mathématiques et Physique, Université de Perpignan)

Mircea Sofonea
(Laboratoire de Mathématiques et Physique, Université de Perpignan)

Keywords

viscoplastic material; frictionless contact; normal compliance; unilateral constraint; weak-solution; convergence results; numerical simulations

Cite this paper as:

M. Barboteu, F. Pătrulescu, A. Ramadan, M. Sofonea, On the behaviour of the solution to a viscoplastic contact problem, in Advances in Mathematics, eds. L. Beznea, V. Brinzănescu, M. Iosifescu, G. Marinoschi, R. Purice, D. Timotin, pp. 75-88, The Publishing House of the Romanian Academy, 2013.

PDF

Publisher Name

(The Publishing House of the Romanian Academy)

Editors

L. Beznea, V. Brinzănescu, M. Iosifescu, G. Marinoschi, R. Purice, D. Timotin

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