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Existence results for unilateral contact problem with friction of thermo-electro-elasticity

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Abstract

This work studies a mathematical model describing the static process of contact between a piezoelectric body and a thermally-electrically conductive foundation. The behavior of the material is modeled with a thermo-electro-elastic constitutive law. The contact is described by Signorini’s conditions and Tresca’s friction law including the electrical and thermal conductivity conditions. A variational formulation of the model in the form of a coupled system for displacements, electric potential, and temperature is derived. Existence and uniqueness of the solution are proved using the results of variational inequalities and a fixed point theorem.

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Authors and Affiliations

  1. Laboratoire de Recherche en Mathématique, Informatique et Sciences de l’Ingénieur (MISI), Settat, 26000, Morocco

    H. Benaissa & El-H. Essoufi

  2. Laboratoire de Science des Matériaux, des Milieux et de la Modélisation (LS3M), Université Hassan 1, Khouribga, 25000, Morocco

    R. Fakhar

Authors
  1. H. Benaissa
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  2. El-H. Essoufi
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  3. R. Fakhar
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Correspondence to R. Fakhar.

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Benaissa, H., Essoufi, EH. & Fakhar, R. Existence results for unilateral contact problem with friction of thermo-electro-elasticity. Appl. Math. Mech.-Engl. Ed. 36, 911–926 (2015). https://doi.org/10.1007/s10483-015-1957-9

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  • DOI: https://doi.org/10.1007/s10483-015-1957-9

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