Slip-dependent friction in dynamic elasticity

Authors:
Ioan R. Ionescu;Quoc-Lan Nguyen;Sylvie Wolf
Affiliations:
Laboratoire de Mathématiques, Université de Savoie, Campus Scientifique, 73376 Le Bourget-du-Lac Cedex, France;National Polytechnic Institute, Ho-Shi-Minh, 143/2D Xo Viet nghe Tinh (he m), P25, Q.BT, Ho-Shi-Minh, Viet Nam;Laboratoire de Mathématiques, Université de Savoie, Campus Scientifique, 73376 Le Bourget-du-Lac Cedex, France and Laboratoire de Géophysique Interne, Université Joseph Fourier ...
Venue:
Nonlinear Analysis: Theory, Methods & Applications
Year:
2003

Citing 3
Cited 2

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Non-Linear Analysis
Dynamic friction contact problems for general normal and friction laws

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Viscosity solutions for dynamic problems with slip-rate dependent friction

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Domain decomposition method for dynamic faulting under slip-dependent friction

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Evolution Hemivariational Inequality for a Class of Dynamic Viscoelastic Nonmonotone Frictional Contact Problems

Computers & Mathematics with Applications

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Abstract

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.