# An elastic contact problem with normal compliance and memory term

## Abstract

We consider a history-dependent problem which describes the contact between an elastic body and an obstacle, the so-called foundation. The contact is frictionless and is modeled with a version of the normal compliance condition in which the memory effects are taken into account. The mathematical analysis of the problem, including existence, uniqueness and convergence results, was provided in (Barboteu et al., in preparation). Here we present the analytic expression of the solution and numerical simulations, in the study of one and two-dimensional examples, respectively

## 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

memory term; normal compliance; elastic body; frictionless contact numerical simulations; mathematical model

## Cite this paper as:

M. Barboteu, A. Ramadan, M. Sofonea, F. Pătrulescu, An elastic contact problem with normal compliance and memory term, Machine Dynamics Research, vol. 36, no. 1 (2012), pp. 15-25

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##### Publisher Name

Publishing House of Warsaw University of Technology
Polna 50, 00-644 Warsaw, Poland

2080-9948

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