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Volume 10, Issue 1, Article 6 |
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A Dynamic Problem with Adhesion and Damage in Electro-Viscoelasticity with Long-Term Memory
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Authors: |
Selmani Mohamed, |
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Keywords:
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Dynamic process, electro-viscoelastic material with long-term memory, frictionless contact, normal compliance, adhesion, damage, existence and uniqueness, monotone operator, fixed point, weak solution. |
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Date Received:
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24/10/07 |
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Date Accepted:
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24/02/09 |
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Subject Codes: |
74M15, 74F99, 74H20, 74H25
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Editors: |
Sever S. Dragomir, |
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Abstract: |
We consider a dynamic frictionless contact problem for an electro-viscoelastic body with long-term memory and damage. 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 derive variational formulation for the model which is formulated as a system involving the displacement field, the electric potential field, the damage field and the adhesion field. We prove the existence of a unique weak solution to the problem. The proof is based on arguments of evolution equations with monotone operators, parabolic inequalities, differential equations and fixed point.
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