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STUDIA MATHEMATICA - Issue no. 2 / 2009 | |||||||
Article: |
A PIEZOELECTRIC FRICTIONLESS CONTACT PROBLEM WITH ADHESION. Authors: MOHAMED SELMANI. |
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Abstract: We consider a quasistatic frictionless contact problem for a piezoelectric body. The contact is modelled with normal compliance. The adhesion of the contact surfaces is taken into account and modelled by a surface variable, the bonding field. We provide variational formulation for the mechanical problem and prove the existence of a unique weak solution to the problem. The proofs are based on arguments of time-dependent variational inequalities, differential equations and fixed point. Key words and phrases: Quasistatic process, frictionless contact, normal compliance, adhesion, piezoelectric material, existence and uniqueness, monotone operator, fixed point, weak solution. |
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