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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2014

Matched asymptotic expansion method for an homogenized interface model

Résumé

Our aim is to demonstrate the effectiveness of the matched asymptotic expansion method in obtaining a simpli ed model for the influence of small identical heterogeneities periodically distributed on an internal surface on the overall response of a linearly elastic body. The results of some numerical experiments corroborate the precise identi cation of the di fferent steps, in particular of the outer/inner regions with their normalized coordinate systems and the scale separation, leading to the model.
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Dates et versions

hal-00757005 , version 1 (25-11-2012)
hal-00757005 , version 2 (04-03-2015)

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Giuseppe Geymonat, Sofiane Hendili, Francoise Krasucki, Marina Vidrascu. Matched asymptotic expansion method for an homogenized interface model. Mathematical Models and Methods in Applied Sciences, 2014, 24 (3), pp.573-597. ⟨10.1142/S0218202513500607⟩. ⟨hal-00757005v2⟩
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