Homogénéisation d'un milieu élastique fortement hétérogèneHomogenization of a strongly heteregeneous elastic medium |
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Authors: | Mongi Mabrouk Ahmed Boughammoura |
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Institution: | 1. LMARC UMR 6608, 24, rue de l''Épitaphe, 25000 Besançon, France;2. I.P.E.I.Monastir, rue Ebn Eljazzar, 5019 Monastir, Tunisie |
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Abstract: | We consider the homogenization of an elastostatic problem in a strongly heterogeneous periodic medium made of two connected components having comparable tensors of elastic moduli, separated by a third medium (soft layer), the thickness of which is of the same order ε than the basic periodicity cell, and such that its elastic moduli tensor becomes infinitely small following a rate εr, r>0. If r?2, we identify the homogenized problem. Otherwise, we have to assume moreover that there are no volume forces in the third medium. To cite this article: M. Mabrouk, A. Boughammoura, C. R. Mecanique 330 (2002) 543–548. |
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Keywords: | milieux continus élasticité homogénéisation convergence à double échelle continuum mechanics elasticity homogenization two-scale convergence |
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