Article Contents
Article Contents

# Analysis of a contact problem for electro-elastic-visco-plastic materials

• We consider a mathematical model which describes the quasistatic frictionless contact between a piezoelectric body and a foundation. The novelty of the model consists in the fact that the foundation is assumed to be electrically conductive, the material's behavior is described with an electro-elastic-visco-plastic constitutive law, the contact is modelled with normal compliance and finite penetration and the problem is studied in an unbounded interval of time. We derive a variational formulation of the problem and prove existence, uniqueness and regularity results. The proofs are based on recent results on history-dependent quasivariational inequalities obtained in [21].
Mathematics Subject Classification: 74M15, 74F15, 74G25, 49J40, 35Q74.

 Citation:

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