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

Farid Messelmi, Abdelbaki Merouani & Hicham Abdelaziz

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 = {Farid and Messelmi and and 19447 and and Farid Messelmi and Abdelbaki and Merouani and and 19448 and and Abdelbaki Merouani and Hicham and Abdelaziz and and 19449 and and Hicham Abdelaziz}, 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.

Farid Messelmi, Abdelbaki Merouani & Hicham Abdelaziz. (2020). 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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