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

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.
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Marius Cocou. Existence of solutions of a dynamic Signorini's problem with nonlocal friction in viscoelasticity. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2002, 53 (6), pp.1099-1109. ⟨10.1007/PL00012615⟩. ⟨hal-00166689⟩

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