Numerical validation of an Homogenized Interface Model

Giuseppe Geymonat 1 Sofiane Hendili 2 Françoise Krasucki 3 Marina Vidrascu 4, 5
2 SEMT - Service d'Etudes Mécaniques et Thermiques
DM2S - Département de Modélisation des Systèmes et Structures : DEN/DM2S/SEMT
4 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : The aim of this paper is to numerically validate the effectiveness of a matched asymptotic expansion formal method introduced in a pioneering paper by Nguetseng and Sànchez Palencia [1] and extended in [2], [3]. Using this method a simplified model for the influence of small identical heterogeneities periodically distributed on an internal surface to the overall response of a linearly elastic body is derived. In order to validate this formal method a careful numerical study compares the solution obtained by a standard method on a fine mesh to the one obtained by asymptotic expansion. We compute both the zero and the first order terms in the expansion. To efficiently compute the first order term we introduce a suitable domain decomposition method.
Document type :
Journal articles
Complete list of metadatas

Cited literature [24 references]  Display  Hide  Download
Contributor : Marina Vidrascu <>
Submitted on : Tuesday, December 3, 2013 - 2:37:26 PM
Last modification on : Wednesday, May 15, 2019 - 3:51:28 AM
Long-term archiving on : Saturday, April 8, 2017 - 3:18:20 AM


Files produced by the author(s)



Giuseppe Geymonat, Sofiane Hendili, Françoise Krasucki, Marina Vidrascu. Numerical validation of an Homogenized Interface Model. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2014, 269, pp.356-380. ⟨10.1016/j.cma.2013.11.009⟩. ⟨hal-00839616v2⟩



Record views


Files downloads