Dynamic frictionless contact with adhesion |
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Authors: | Chau O Shillor M Sofonea M |
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Institution: | (1) Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France;(2) Department of Mathematics and Statistics, Oakland University, 48309 Rochester, USA |
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Abstract: | 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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Keywords: | 74M15 35L70 74F25 74H20 |
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