Variational and numerical analysis of a dynamic frictionless contact problem with adhesion

O Chau; J. R Fernández; W Han; M Sofonea

doi:10.1016/s0377-0427(02)00909-3

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Variational and numerical analysis of a dynamic frictionless contact problem with adhesion

Journal article

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Variational and numerical analysis of a dynamic frictionless contact problem with adhesion

O Chau, J. R Fernández, W Han and M Sofonea

Journal of Computational and Applied Mathematics, Vol.156(1), pp.127-157

07/01/2003

DOI: 10.1016/s0377-0427(02)00909-3

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Abstract

We study a dynamic frictionless contact problem between a viscoelastic body and an obstacle, the so-called foundation. The contact is subjected to an adhesion effect, whose evolution is described by an ordinary differential equation. For the variational formulation of the contact problem, we present and prove an existence and uniqueness result. A fully discrete scheme is introduced to solve the problem. Under certain solution regularity assumptions, we derive an optimal order error estimate. Some numerical examples are included to show the performance of the method.

Computational Mathematics

Applied Mathematics

Details

Title: Subtitle: Variational and numerical analysis of a dynamic frictionless contact problem with adhesion
Creators: O Chau
J. R Fernández
W Han
M Sofonea
Resource Type: Journal article
Publication Details: Journal of Computational and Applied Mathematics, Vol.156(1), pp.127-157
DOI: 10.1016/s0377-0427(02)00909-3
ISSN: 0377-0427
Publisher: Elsevier BV
Language: English
Date published: 07/01/2003
Academic Unit: Mathematics
Record Identifier: 9983985942402771

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