Journal of Elasticity

, Volume 51, Issue 2, pp 105–126

Quasistatic Viscoelastic Contact with Normal Compliance and Friction

  • M. Rochdi
  • M. Shillor
  • M. Sofonea
Article

DOI: 10.1023/A:1007413119583

Cite this article as:
Rochdi, M., Shillor, M. & Sofonea, M. Journal of Elasticity (1998) 51: 105. doi:10.1023/A:1007413119583

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.

viscoelastic materialnonlinear constitutive lawfrictional contactnormal compliancesliding frictionwear.

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • M. Rochdi
    • 1
  • M. Shillor
    • 2
  • M. Sofonea
    • 1
  1. 1.Laboratoire de Théorie des SystèmesUniversity of PerpignanPerpignanFrance
  2. 2.Department of Mathematical Sciences–OaklandUniversity RochesterUSA