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Quasistatic frictional thermo‐piezoelectric contact problem
Authors:Hicham Benaissa  El‐Hassan Benkhira  Rachid Fakhar  Abdelhadi Hachlaf
Abstract:We consider here a mathematical model describing the bilateral frictional contact between a thermo‐piezoelectric body and a thermally conductive foundation. We model the behavior of the material with a linear thermo‐electro‐elastic constitutive law. The process is assumed to be quasistatic and the contact is modeled with a nonlocal version of Coulomb's dry friction law, in which the frictional heat generated in the process, is taken into account. We drive a variational formulation of the problem and establish the existence of its weak solution.
Keywords:bilateral frictional contact  Coulomb's dry friction law  frictional heat generation  quasistatic process  quasi‐variational inequality  thermo‐piezoelectric material
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