Analysis of an Antiplane Contact Problem with Adhesion for Electro-Viscoelastic Materials
We consider a mathematical model which describes the antiplane shear deformation of a cylinder in frictionless contact with a rigid foundation. The adhesion of the contact surfaces, caused by the glue, is taken into account. The material is assumed to be electro-viscoelastic and the foundation is as...
| 出版年: | Nonlinear Analysis |
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| 主要な著者: | , , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
Vilnius University Press
2008-07-01
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| 主題: | |
| オンライン･アクセス: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14563 |
| 要約: | We consider a mathematical model which describes the antiplane shear deformation of a cylinder in frictionless contact with a rigid foundation. The adhesion of the contact surfaces, caused by the glue, is taken into account. The material is assumed to be electro-viscoelastic and the foundation is assumed to be electrically conductive. We derive a variational formulation of the model which is given by a system coupling an evolutionary variational equality for the displacement field, a time-dependent variational equation for the electric potential field and a differential equation for the bonding field. Then we prove the existence of a unique weak solution to the model. The proof is based on arguments of evolution equations with monotone operators and fixed point. |
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| ISSN: | 1392-5113 2335-8963 |