Year: 2017
Author: Farid Messelmi, Abdelbaki Merouani, Hicham Abdelaziz
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 4 : pp. 924–943
Abstract
We consider a mathematical model which describes the quasi-static evolution of a thermo-viscoelastic linear body with taking into account the effects of internal forces which generate a nonlinear viscous dissipative function. We derive a variational formulation of the system of equilibrium equation and energy equation. An existence result of weak solutions was obtained in an appropriate function space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m656
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 4 : pp. 924–943
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Thermo-viscoelasticity viscous dissipation.