Quasistatic Viscoelastic Contact with Normal Compliance and Friction |
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Authors: | M Rochdi M Shillor M Sofonea |
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Institution: | (1) Laboratoire de Théorie des Systèmes, University of Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France;(2) Department of Mathematical Sciences–Oakland, University Rochester, MI 48309, USA |
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Abstract: | We prove the existence of a unique weak solution to the quasistatic problem of frictional contact between a deformable body
and a rigid foundation. The material is assumed to have nonlinear viscoelastic behavior. The contact is modeled with normal
compliance and the associated version of Coulomb's law of dry friction. We establish the continuous dependence of the solution
on the normal compliance function. Moreover, we prove the existence of a unique solution to the problem of sliding contact
with wear.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | viscoelastic material nonlinear constitutive law frictional contact normal compliance sliding friction wear |
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