THE MATCHED ASYMPTOTIC EXPANSION FOR THE COMPUTATION OF THE EFFECTIVE BEHAVIOR OF AN ELASTIC STRUCTURE WITH A THIN LAYER OF HOLES

被引:6
作者
Geymonat, Giuseppe [1 ]
Krasucki, Francoise [2 ]
Hendili, Sofiane [2 ]
Vidrascu, Marina
机构
[1] Univ Montpellier 2, LMGC, UMR CNRS 5508, F-34095 Montpellier 5, France
[2] Univ Montpellier 2, I3M, UMR CNRS 5149, F-34095 Montpellier 5, France
关键词
multi-materials; multi-scaling; asymptotic analysis; elasticity;
D O I
10.1615/IntJMultCompEng.2011002619
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the framework of matched asymptotic expansions we introduce a new efficient and robust method to approximate the behavior of a structure containing a thin layer with periodically distributed micro-holes. A surface (in three dimensions) or a line (in two dimensions), on which particular jumping conditions are defined, substitutes for the initial problem.
引用
收藏
页码:529 / 542
页数:14
相关论文
共 10 条
[1]   The effective behavior of a fiber bridged crack [J].
Abdelmoula, R ;
Marigo, JJ .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (11) :2419-2444
[2]  
BELLIEUD M, UNPUB
[3]  
Bensoussan A., 1987, ASYMPTOTIC ANAL PERI
[4]   Symmetry classes for elasticity tensors [J].
Forte, S ;
Vianello, M .
JOURNAL OF ELASTICITY, 1996, 43 (02) :81-108
[5]   Determination of the symmetries of an experimentally determined stiffness tensor, application to acoustic measurements [J].
Francois, M ;
Geymonat, G ;
Berthaud, Y .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1998, 35 (31-32) :4091-+
[6]  
Marigo J.-J., 2011, INT J DAMAGE MECH
[7]  
Nguetseng G., 1986, LOCAL EFFECTS ANAL S, P55
[8]  
Sanchez-Hubert J., 1989, Vibration and coupling of continuous systems. Asymptotic methods
[9]  
Sanchez-Palencia E., 1980, Lecture Note in Physics, V320, P57
[10]  
Schaeffer DG., 1988, Singularities and groups in bifurcation theory