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
收藏
页码：573 / 597
页数：25
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