TY - JOUR
T1 - Quasi-Static Linear Thermo-Viscoelastic Process with Irregular Viscous Dissipation
AU - Messelmi , Farid
AU - Merouani , Abdelbaki
AU - Abdelaziz , Hicham
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 924
EP - 943
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.2014.m656
UR - https://global-sci.org/intro/article_detail/aamm/12183.html
KW - Thermo-viscoelasticity, viscous dissipation.
AB - <p style="text-align: justify;">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.</p>