Dynamic contact problem for viscoelastic piezoelectric materials with slip dependent friction

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• 作者：Yunxiang Li ; Zhenhai Liu
• 关键词：Hemivariational inequality ; Friction ; Viscoelastic ; Pseudomonotone ; Inclusion
• 刊名：Nonlinear Analysis
• 出版年：2009
• 出版时间：1 September 2009-15 September
• 年：2009
• 卷：71
• 期：5-6
• 页码：1414-1424
• 全文大小：719 K

文摘

In this paper, we deal with a class of inequality problems for dynamic frictional contact between a piezoelectric body and a foundation. The model consists of a system of the hemivariational inequality of hyperbolic type for the displacement, the time dependent elliptic equation for the electric potential. The friction condition is described to be the Clarke subdifferential relations of nonmonotone and multivalued character in the tangential directions on the boundary. The existence of a weak solution to the model is proved by embedding the problem into a class of second-order evolution inclusions, and by applying a surjectivity result for multivalued operators.