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Numerical approximation of dynamic deformationsof a thermoviscoelastic rod against an elastic obstacle

Published online by Cambridge University Press:  15 August 2004

Maria I.M. Copetti
Maria I.M. Copetti*
Affiliation:
Laboratório de Análise Numérica e Astrofísica, Departamento de Matemática, Universidade Federal de Santa Maria, 97119-900 Santa Maria, RS, Brazil. mimc@lana.ccne.ufsm.br.
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Abstract

In this paper we consider a hyperbolic-parabolic problem that models the longitudinal deformations of a thermoviscoelastic rod supported unilaterally by an elastic obstacle. The existence and uniqueness of a strong solution is shown. A finite element approximation is proposed and its convergence is proved. Numerical experiments are reported.

Keywords

Thermoviscoelasticitydynamic contact problemfinite element approximationnumerical simulations.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 4 , July 2004 , pp. 691 - 706
Copyright
© EDP Sciences, SMAI, 2004

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