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Authors: SIHEM SMATA, NEMIRA LEBRI.
DOI: 10.24193/subbmath. 2021.4.13
Published Online: 2021-12-14
Published Print: 2021-12-30
pp. 769-781
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We consider a mathematical model which describes the dynamic process of contact between a piezoelectric body and an electrically conductive foundation. We model the material''s behavior with a nonlinear electro-viscoelastic constitutive law with thermal effects. Contact is described with the Signorini condition, a version of Coulomb''s law of dry friction. A variational formulation of the model is derived, and the existence of a unique weak solution is proved. The proofs are based on the classical result of nonlinear first order evolution inequalities, the equations with monotone operators, and the fixed point arguments.
Keywords: Piezoelectric, frictional contact, thermo-elasto-viscoplastic, fixed point, dynamic process, Coulomb''s friction law, evolution inequality.
Mathematics Subject Classification (2010): 74M15, 74M10, 74F05, 49J40.
