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

Farid Messelmi, Abdelbaki Merouani & Hicham Abdelaziz

DOI: 10.4208/aamm.2014.m656

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

Published online: 2018-05

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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 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.

  • Keywords

Thermo-viscoelasticity, viscous dissipation.

  • AMS Subject Headings

35M10, 74D05, 74F05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-924, author = {Messelmi , FaridMerouani , Abdelbaki and Abdelaziz , Hicham}, title = {Quasi-Static Linear Thermo-Viscoelastic Process with Irregular Viscous Dissipation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {4}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m656}, url = {http://global-sci.org/intro/article_detail/aamm/12183.html} }
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 -

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.

Messelmi , FaridMerouani , Abdelbaki and Abdelaziz , Hicham. (2018). Quasi-Static Linear Thermo-Viscoelastic Process with Irregular Viscous Dissipation. Advances in Applied Mathematics and Mechanics. 9 (4). 924-943. doi:10.4208/aamm.2014.m656
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