Quasi-Static Linear Thermo-Viscoelastic Process with Irregular Viscous Dissipation

Quasi-Static Linear Thermo-Viscoelastic Process with Irregular Viscous Dissipation

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.

Author Details

Farid Messelmi

Abdelbaki Merouani

Hicham Abdelaziz