4.5 Article

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

Journal

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 53, Issue 6, Pages 1099-1109

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/PL00012615

Keywords

dynamic problems; unilateral contact; nonlocal friction; viscoelastic body; existence of solutions

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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.

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