MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL-Reference-Cited by-同舟云学术

MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL

Published:2013-12-29 Issue:03 Volume:24 Page:573-597
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

GEYMONAT GIUSEPPE¹,HENDILI SOFIANE²,KRASUCKI FRANÇOISE³,VIDRASCU MARINA⁴⁵

Affiliation:

1. Laboratoire de Mécanique des Solides, UMR-CNRS 7649, Ecole Polytechnique, Route de Saclay, 91128 Palaiseau Cedex, France

2. CEA, DEN, DANS, DM2S, SEMT, Laboratoire de Modélisation et de Simulation des Structures, 91191 Gif-sur-Yvette, France

3. I3M, UMR-CNRS 5149, Université de Montpellier II, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France

4. EPI REO, INRIA Rocquencourt, BP 105 78153 Le Chesnay Cedex, France

5. Laboratoire Jacques-Louis Lions, UMR-CNRS 7958, Université Pierre et Marie Curie, Boîte courrier 187, 75252 Paris Cedex 05, France

Abstract

Our aim is to demonstrate the effectiveness of the matched asymptotic expansion method in obtaining a simplified 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 several numerical experiments corroborate the precise identification of the different steps, in particular of the outer/inner regions with their normalized coordinate systems and the scale separation, leading to the model.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202513500607

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