Numerical analysis of an evolutionary variational-hemivariational inequality with application to a dynamic contact problem. (English) Zbl 1460.74070
Summary: In this paper, we consider the numerical solution of an evolutionary variational-hemivariational inequality arising in a dynamic contact problem. The material is assumed to be viscoelastic with short memory. The contact is featured by a normal damped response in the normal direction and by the Tresca friction law in the tangential direction. The linear finite elements are used to discretize the spatial variable. Optimal order error estimates are derived for the discrete velocity and discrete displacement under suitable solution regularity assumptions.
MSC:
| 74M15 | Contact in solid mechanics |
| 74M10 | Friction in solid mechanics |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 65M15 | Error bounds for initial value and initial-boundary value problems involving PDEs |
| 49J40 | Variational inequalities |
Keywords:
Tresca friction law; viscoelastic material; finite element method; optimal order error estimateReferences:
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