Analysis of a dynamic frictional contact problem for hyperviscoelastic material with non-convex energy density

作者：Barboteu Mikael^*; Gasinski Leszek; Kalita Piotr

来源：Mathematics and Mechanics of Solids, 2018, 23(3): 359-391.

DOI：10.1177/1081286517718604

• Dynamics
• hyperelasticity
• viscosity
• normal compliance
• non-monotone friction
• weak formulation
• time approximation
• existence result
• non-uniqueness
• numerical simulations

Using the time approximation method we obtain the existence of a weak solution for the dynamic contact problem with damping and a non-convex stored elastic energy function. On the contact boundary we assume the normal compliance law and the generalization of the Coulomb friction law which allows for non-monotone dependence of the friction force on the tangential velocity. The existence result is accompanied by two numerical examples, one of them showing lack of uniqueness for the numerical solution.

• 出版日期2018-3