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A mixed variational formulation for a class of contact problems in viscoelasticity |
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| Authors: | A Matei S Sitzmann K Willner B I Wohlmuth |
| Institution: | 1. Department of Mathematics, University of Craiova, Craiova, Romania. andaluziamatei@inf.ucv.ro;3. Central Institute for Scientific Computing, Erlangen, Germany.;4. Chair of Applied Mechanics, Friedrich-Alexander University Erlangen-Nuremberg, Erlangen, Germany.;5. Center of Mathematics, Technische Universit?t München, Garching, Germany. |
| Abstract: | We consider a deformable body in frictionless unilateral contact with a moving rigid obstacle. The material is described by a viscoelastic law with short memory, and the contact is modeled by a Signorini condition with a time-dependent gap. The existence and uniqueness results for a weak formulation based on a Lagrange multipliers approach are provided. Furthermore, we discuss an efficient algorithm approximating the weak solution for the more general case of a two-body contact problem including friction. In order to illustrate the theory we present two numerical examples in 3D. |
| Keywords: | Unilateral contact viscoelasticity dual Lagrange multipliers primal-dual active set strategy 3D numerical examples |