Existence of a solution to a dynamic unilateral contact problem for a cracked viscoelastic body |
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| Authors: | Marius Cocou Gilles Scarella |
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| Affiliation: | 1. Laboratoire de mécanique et d''acoustique CNRS, 31, chemin Joseph-Aiguier, 13402 Marseille cedex 20, et Université de Provence, UFR MIM, Marseille, France;2. INRIA Rocquencourt, Domaine de Voluceau, BP 105, 78153 Le Chesnay cedex, France |
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| Abstract: | In this paper we study a dynamic unilateral contact problem with friction for a cracked viscoelastic body. The viscoelastic model is characterized by Kelvin–Voigt's law and a nonlocal friction law is investigated here. The existence of a solution to the problem is obtained by using a penalty method. Several estimates are obtained on the solution to the penalized problem, which enable us to pass to the limit by using compactness results. To cite this article: M. Cocou, G. Scarella, C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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