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A one-dimensional quasi-static contact problem in linear thermoelasticity

Published online by Cambridge University Press:  26 September 2008

M. I. M. Copetti  and
C. M. Elliott
M. I. M. Copetti
Affiliation:
School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH, UK Departamento de Matemática, Universidade Federal de Santa Maria, 97119 Santa Maria – RS, Brasil
C. M. Elliott
Affiliation:
School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH, UK
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Abstract

The existence, uniqueness and regularity of the solution to a one-dimensional linear thermoelastic problem with unilateral contact of the Signorini type are established. A finite element approximation is described, and an error bound is derived. It is shown that if the time step is O(h2), then the error in L2 in the temperature and in L∞ in the displacement is O(h). Some numerical experiments are presented.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 4 , Issue 2 , June 1993 , pp. 151 - 174
Copyright
Copyright © Cambridge University Press 1993

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