Homogenization of nonlinear elastic composites. Method and algorithm

被引:6
作者
Brieu, M [1 ]
Devries, F [1 ]
机构
[1] Univ Paris 06, CNRS, URA 1776, ENSC,ENSAM,UPMC,Lab Modelisat & Mecan Struct, F-75252 Paris 05, France
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1998年 / 326卷 / 06期
关键词
elastomer; homogenization; nonlinear algorithm;
D O I
10.1016/S1251-8069(98)80416-8
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper describes the development of a homogenization method for nonlinear elastic composites and that of an algorithm allowing us to obtain the researched homogenized behaviour without any numerical overcosts. (C) Academie des Sciences/Elsevier; Paris.
引用
收藏
页码:379 / 384
页数:6
相关论文
共 9 条
[1]  
BOISSE P, 1987, THESIS U PARIS 6
[3]  
CIARLET PG, 1982, CR ACAD SCI II, V295, P423
[4]  
DEVRIES F, 1996, REV COMPOSITES MAT A, V6, P217
[5]   HOMOGENIZATION OF NONLINEARLY ELASTIC-MATERIALS, MICROSCOPIC BIFURCATION AND MACROSCOPIC LOSS OF RANK-ONE CONVEXITY [J].
GEYMONAT, G ;
MULLER, S ;
TRIANTAFYLLIDIS, N .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 122 (03) :231-290
[6]  
LADEVEZE P, 1996, MECANIQUE NONLINEAIR
[7]  
LAMBERTDIANI J, 1997, UNPUB CR ACAD SCI PA
[8]  
MULLER S, 1987, ARCH RATION MECH AN, V99, P189, DOI 10.1007/BF00284506
[9]   BOUNDS AND SELF-CONSISTENT ESTIMATES FOR THE OVERALL PROPERTIES OF NONLINEAR COMPOSITES [J].
TALBOT, DRS ;
WILLIS, JR .
IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 39 (03) :215-240