1. A Quasistatic Electro-Viscoelastic Contact Problem with Adhesion
- Author
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Salah Drabla and Nadhir Chougui
- Subjects
Mathematics(all) ,Field (physics) ,General Mathematics ,Weak solution ,010102 general mathematics ,Mathematical analysis ,02 engineering and technology ,Adhesion ,Fixed point ,01 natural sciences ,Viscoelasticity ,020303 mechanical engineering & transports ,Monotone polygon ,0203 mechanical engineering ,Variational inequality ,0101 mathematics ,Quasistatic process ,Mathematics - Abstract
The aim of this paper is to study the process of contact with adhesion between a piezoelectric body and an obstacle, the so-called foundation. The material’s behavior is assumed to be electro-viscoelastic; the process is quasistatic, the contact is modeled by the Signorini condition. The adhesion process is modeled by a bonding field on the contact surface. We derive a variational formulation for the problem and then we prove the existence of a unique weak solution to the model. The proof is based on a general result on evolution equations with maximal monotone operators and fixed-point arguments.
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