Dynamic contact problem for viscoelastic piezoelectric materials with normal damped response and friction |
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Authors: | Yunxiang Li Zhenhai Liu |
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Institution: | a Department of Mathematics of Central South University, Changsha, Hunan 410075, PR China b Department of Mathematics of Hunan City University, Yiyang, Hunan 413000, PR China c School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, PR China |
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Abstract: | 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 contact is modeled by a general normal damped response condition and a friction law, which are nonmonotone, possibly multivalued and have the subdifferential form. 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. |
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Keywords: | Hemivariational inequality Friction Viscoelastic Pseudomonotone Inclusion |
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