| Autor: |
Baiz, Othmane, Benaissa, Hicham, Moutawakil, Driss El, Fakhar, Rachid |
| Předmět: |
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| Zdroj: |
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik; Mar2019, Vol. 99 Issue 3, pN.PAG-N.PAG, 1p |
| Abstrakt: |
In this paper, we study a quasi‐static contact problem between a thermo‐electro‐viscoelastic body and an electrically and thermally conductive foundation. The contact is modeled using a normal compliance contact condition with Coulomb's friction law, a regularized electrical contact condition and a heat flux contact condition taking into account the frictional heating effects. After introducing the model, the functional framework and the assumptions about the data, we derive the variational formulation of the model and prove its solvability. The proof is based on results of variational inequalities and fixed point argument. Finally, we investigate a fully discrete approximation using, respectively, Euler scheme and finite element method for the spatial variable and the time derivatives. Some error estimates are then derived, leading to convergence results under suitable additional regularity conditions. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
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