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

作者：Andrei Ionica; Costea Nicusor^*; Matei Andaluzia

来源：Journal of Global Optimization, 2013, 56(1): 103-119.

DOI：10.1007/s10898-011-9815-x

• Antiplane shear deformation
• Piezoelectricity
• Frictional contact
• Clarke's generalized gradient
• Variational-hemivariational inequality

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.

• 出版日期2013-5