A mixed variational formulation for the Signorini frictionless problem in viscoplasticity.
Variational and numerical analysis of the Signorini's contact problem in viscoplasticity with damage.
Analysis of a frictional contact problem with adhesion.
A nonlinear evolution inclusion in perfect plasticity with friction.
On the frictionless unilateral contact of two viscoelastic bodies.
Analysis of a frictionless contact problem for elastic bodies
This paper deals with a nonlinear problem modelling the contact between an elastic body and a rigid foundation. The elastic constitutive law is assumed to be nonlinear and the contact is modelled by the well-known Signorini conditions. Two weak formulations of the model are presented and existence and uniqueness results are established using classical arguments of elliptic variational inequalities. Some equivalence results are presented and a strong convergence result involving a penalized problem...
A viscoelastic contact problem with normal damped response and friction
We study an evolution problem which describes the quasistatic contact of a viscoelastic body with a foundation. We model the contact with normal damped response and a local friction law. We derive a variational formulation of the model and we establish the existence of a unique weak solution to the problem. The proof is based on monotone operators and fixed point arguments. We also establish the continuous dependence of the solution on the contact boundary conditions.
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