Existence of solutions of a dynamic Signorini's problem with nonlocal friction in viscoelasticity

  • Authors:
  • Marius Cocou

  • Affiliations:
  • Laboratoire de Mécanique et d'Acoustique - C.N.R.S., 31, chemin Joseph Aiguier, 13402 Marseille Cedex 20 and Université de Provence, U.F.R. - M.I.M., Marseille, France

  • Venue:
  • Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
  • Year:
  • 2002

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Abstract

A dynamic unilateral contact problem with nonlocal friction for a viscoelastic body satisfying a Kelvin-Voigt law is studied. Using a penalty method and compactness results, the existence of a weak solution of this problem is proved.