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Slip-dependent friction in dynamic elasticity

✍ Scribed by Ioan R. Ionescu; Quoc-Lan Nguyen; Sylvie Wolf

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
184 KB
Volume
53
Category
Article
ISSN
0362-546X

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✦ Synopsis

The dynamic evolution with frictional contact of an elastic body is considered. In modeling the contact the Tresca model and a slip-dependent friction law are used. The existence of a solution is proved in the two-dimensional case. The uniqueness is proved for the one-dimensional shearing problem. The convergence, for a vanishing viscosity, of the unique solution of the viscoelastic problem to a solution of the elastic problem is obtained.

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