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Dynamic contact problems with slip-dependent friction in viscoelasticity

Ioan Ionescu, Quoc-Lan Nguyen (2002)

International Journal of Applied Mathematics and Computer Science

The dynamic evolution with frictional contact of a viscoelastic body is considered. The assumptions on the functions used in modelling the contact are broad enough to include both the normal compliance and the Tresca models. The friction law uses a friction coefficient which is a non-monotone function of the slip. The existence and uniqueness of the solution are proved in the general three-dimensional case.

Dynamic contact problems with velocity conditions

Oanh Chau, Viorica Motreanu (2002)

International Journal of Applied Mathematics and Computer Science

We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems...

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