MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL

被引：4

作者：

Geymonat, Giuseppe ^{[1
]}

Hendili, Sofiane ^{[2
]}

Krasucki, Francoise ^{[3
]}

Vidrascu, Marina ^{[4
,5
]}

机构：

[1] Ecole Polytech, UMR CNRS 7649, Mecan Solides Lab, F-91128 Palaiseau, France

[2] CEA, Lab Modelisat & Simulat Struct, DEN, DANS,DM2S,SEMT, F-91191 Gif Sur Yvette, France

[3] Univ Montpellier 2, UMR CNRS 5149, I3M, F-34095 Montpellier 5, France

[4] INRIA Rocquencourt, EPI REO, F-78153 Le Chesnay, France

[5] Univ Paris 06, UMR CNRS 7958, Lab Jacques Louis Lions, F-75252 Paris, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2014年 / 24卷 / 03期

关键词：

Multi-materials; multi-scaling; asymptotic analysis; elasticity; numerical experiments; EFFECTIVE BEHAVIOR;

D O I：

10.1142/S0218202513500607

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：573 / 597

页数：25

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