Analysis of a quasistatic contact problem for piezoelectric materials

作者：Migorski Stanislaw^*; Ochal Anna; Sofonea Mircea

来源：Journal of Mathematical Analysis and Applications, 2011, 382(2): 701-713.

DOI：10.1016/j.jmaa.2011.04.082

• Piezoelectricity
• Electro-viscoelastic material
• Quasistatic process
• Frictional contact
• Clarke subdifferential
• History-dependent hemivariational inequality
• Weak solution

We consider a mathematical model which describes the frictional contact between a piezoelectric body and an electrically conductive foundation. The process is quasistatic, the material behavior is modeled with an electro-viscoelastic constitutive law and the contact is described with subdifferential boundary conditions. We derive the variational formulation of the problem which is in the form of a system involving two history-dependent hemivariational inequalities in which the unknowns are the velocity and electric potential field. Then we prove the existence of a unique weak solution to the model. The proof is based on a recent result on history-dependent hemivariational inequalities obtained in Migorski et al. (submitted for publication) [16].

• 出版日期2011-10-15