| Autor: |
Vodička, Roman, Mantič, Vladislav, Roubíček, Tomáš |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
Journal of Computational and Applied Mathematics 315 (2017) 249-272 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.cam.2016.10.010 |
| Popis: |
The quasistatic normal-compliance contact problem of isotropic homogeneous linear visco-elastic bodies with Coulomb friction at small strains in Kelvin-Voigt rheology is considered. The discretization is made by a semi-implicit formula in time and the Symmetric Galerkin Boundary Element Method (SGBEM) in space, assuming that the ratio of the viscosity and elasticity moduli is a given relaxation-time coefficient. The obtained recursive minimization problem, formulated only on the contact boundary, has a nonsmooth cost function. If the normal compliance responds linearly and the 2D problems are considered, then the cost function is piecewise-quadratic, which after a certain transformation gets the quadratic programming (QP) structure. However, it would lead to second-order cone programming in 3D problems. Finally, several computational tests are presented and analysed, with additional discussion on numerical stability and convergence of the involved approximated Poincar\'e-Steklov operators. |
| Databáze: |
arXiv |
| Externí odkaz: |
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