Dynamic frictionless contact with adhesion

被引：0
|
作者：
O. Chau
M. Shillor
M. Sofonea
机构：
[1] Laboratoire de Théorie des Systèmes,
[2] Université de Perpignan,undefined
[3] Department of Mathematics and Statistics,undefined
[4] Oakland University,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik ZAMP | 2004年 / 55卷
关键词：
74M15; 35L70; 74F25; 74H20; Adhesion; dynamic contact; normal compliance; viscoelastic material; existence and uniqueness; monotone operator; fixed point;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A model for the dynamic, adhesive, frictionless contact between a viscoelastic body and a deformable foundation is described. The adhesion process is modeled by a bonding field on the contact surface. The contact is described by a modified normal compliance condition. The tangential shear due to the bonding field is included. The problem is formulated as a coupled system of a variational equality for the displacements and a differential equation for the bonding field. The existence of a unique weak solution for the problem is established, together with a partial regularity result. The existence proof proceeds by construction of an appropriate mapping which is shown to be a contraction on a Hilbert space.
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页码：32 / 47
页数：15
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