Evolution Hemivariational Inequality for a Class of Dynamic Viscoelastic Nonmonotone Frictional Contact Problems
Evolution Hemivariational Inequality for a Class of Dynamic Viscoelastic Nonmonotone Frictional Contact Problems
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DOI：
10.1016/j.camwa.2006.10.007
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发表时间：
2006-09
期刊：
影响因子：
--
通讯作者：
S. Migórski
中科院分区：
文献类型：
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作者：
S. Migórski
本文考虑一类双曲型半变分不等式，它描述了粘弹性体与刚性地基之间的摩擦接触问题。摩擦条件是由一个多值次微分关系，其中包括两个滑移位移和滑移率相关的摩擦，和Tresca模型。利用一类伪单调映射的满射性结果，证明了该问题弱解的存在性。
In this paper, we consider a class of hyperbolic hemivariational inequalities modeling the frictional contact between a viscoelastic body and a rigid foundation. The friction condition is described by a multivalued subdifferential relation which includes both the slip displacement and the slip rate dependent friction, and the Tresca models. The existence of weak solutions to the problem is proved by exploiting a surjectivity result for a class of pseudomonotone mappings.