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Antiplane shear deformation of piezoelectric bodies in contact with a conductive support

Author

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  • Ionicǎ Andrei
  • Nicuşor Costea
  • Andaluzia Matei

Abstract

We consider a mathematical model which describes the frictional contact between a piezoelectric body and an electrically conductive support. We model the material’s behavior with an electro-elastic constitutive law; the frictional contact is described with a boundary condition involving Clarke’s generalized gradient and the electrical condition on the contact surface is modelled using the subdifferential of a proper, convex and lower semicontinuous function. We derive a variational formulation of the model and then, using a fixed point theorem for set valued mappings, we prove the existence of at least one weak solution. Finally, the uniqueness of the solution is discussed; the investigation is based on arguments in the theory of variational-hemivariational inequalities. Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Ionicǎ Andrei & Nicuşor Costea & Andaluzia Matei, 2013. "Antiplane shear deformation of piezoelectric bodies in contact with a conductive support," Journal of Global Optimization, Springer, vol. 56(1), pages 103-119, May.
    • Handle: RePEc:spr:jglopt:v:56:y:2013:i:1:p:103-119
    DOI: 10.1007/s10898-011-9815-x
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