Analysis of a dynamic unilateral contact problem for a cracked viscoelastic body |
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| Authors: | Marius Cocou Gilles Scarella |
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| Institution: | (1) Laboratoire de Mécanique et d’Acoustique, C.N.R.S., 31 chemin Joseph Aiguier, 13402 Marseille Cedex 20, France;(2) U.F.R. – M.I.M., Université de Provence, Marseille, France;(3) INRIA Sophia-Antipolis, 2004 route des Lucioles, B.P. 93, 06902 Sophia Antipolis, France |
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| Abstract: | This work deals with the mathematical analysis of a dynamic unilateral contact problem with friction for a cracked viscoelastic
body. We consider here a Kelvin-Voigt viscoelastic material and a nonlocal friction law. To prove the existence of a solution
to the unilateral problem with friction, an auxiliary penalized problem is studied. Several estimates on the penalized solutions
are given, which enable us to pass to the limit by using compactness results.
Received: February 16, 2005 |
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| Keywords: | 35Q99 35R35 49J40 74A55 74D05 74H20 |
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