Slip-dependent friction in dynamic elasticity

Slip-dependent friction in dynamic elasticity

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. T...

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Bibliographic Details
Published in:Nonlinear analysis Vol. 53; no. 3; pp. 375 - 390
Main Authors: Ionescu, Ioan R., Nguyen, Quoc-Lan, Wolf, Sylvie
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 01-05-2003
Elsevier
Subjects:
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Dynamic elasticity
Elasticity, plasticity: general mathematical aspects
Exact sciences and technology
Existence
Physics
Slip-dependent friction
Tresca contact
Uniqueness
Vanishing viscosity
Viscoelasticity
Viscoelasticity
Dynamic elasticity
Slip-dependent friction
Uniqueness
Vanishing viscosity
Tresca contact
Existence
Friction
Slip
Elasticity
Elastodynamics
Dynamical systems
Contact
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/S0362-546X(02)00302-4