Asymptotic behaviour of contact problems between two elastic materials through a fractal interface |
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| Authors: | M. El Jarroudi A. Brillard |
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| Affiliation: | 1. Université Abdelmalek Essaâdi, FST Tanger, Département de Mathématiques, B.P. 416, Tanger, Maroc;2. Université de Haute-Alsace, Laboratoire de Gestion des Risques et Environnement, 25 rue de Chemnitz, F-68200 Mulhouse, France |
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| Abstract: | Two linear elastic materials are brought into contact along a fractal interface Σ. We suppose that the contact is perfect on small zones disposed on Σ. Using Γ-convergence arguments, we establish the possible limit contact laws which appear when letting the common size of these zones tend to 0. We also generalise these results to the case of more general obstacle problems on this fractal interface. |
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