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Existence and uniqueness of a thermoelastic problem with variable parameters

Published online by Cambridge University Press:  04 May 2015

P. BARRAL ,
M. C. NAYA-RIVEIRO  and
P. QUINTELA
P. BARRAL
Affiliation:
Department of Applied Mathematics, Faculty of Mathematics, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain email: patricia.barral@usc.es, peregrina.quintela@usc.es
M. C. NAYA-RIVEIRO
Affiliation:
Department of Pedagogy and Didactics, Faculty of Educational Studies, Universidade da Coruña, 15071 A Coruña, Spain email: cristina.naya@udc.es
P. QUINTELA
Affiliation:
Department of Applied Mathematics, Faculty of Mathematics, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain email: patricia.barral@usc.es, peregrina.quintela@usc.es
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Abstract

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The aim of this article is to study the existence and uniqueness of solution for a quasistatic fully coupled thermoelastic problem arising from some metallurgical processes. We consider mixed boundary conditions for both submodels, and a Robin boundary condition for the thermal one. Furthermore, the reference temperature, the thermal conductivity and the Lamé's parameters are assumed to depend on the material point.

Keywords

ThermoelasticityQuasistatic problemGalerkin's methodNon-homogeneous materials
Type
Papers
Information
European Journal of Applied Mathematics , Volume 26 , Issue 4 , August 2015 , pp. 497 - 520
Copyright
Copyright © Cambridge University Press 2015 

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