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

Ionicǎ Andrei (), Nicuşor Costea () and Andaluzia Matei ()

Journal of Global Optimization, 2013, vol. 56, issue 1, 103-119

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

Keywords: Antiplane shear deformation; Piezoelectricity; Frictional contact; Clarke’s generalized gradient; Variational-hemivariational inequality; 7GM10; 74M15; 47J20; 49J53; 70F40 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-011-9815-x

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