Volume 9, Issue 4
Quasi-Static Linear Thermo-Viscoelastic Process with Irregular Viscous Dissipation

Farid Messelmi ,  Abdelbaki Merouani and Hicham Abdelaziz

10.4208/aamm.2014.m656

Adv. Appl. Math. Mech., 9 (2017), pp. 924-943.

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  • 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 non linear 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.

  • History

Published online: 2018-05

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