The double-inclusion model: a new formulation and new estimates

被引:36
作者
Aboutajeddine, A [1 ]
Neale, KW [1 ]
机构
[1] Univ Sherbrooke, Fac Engn, Canada Res Chair Adv Engn Mat Syst, Sherbrooke, PQ J1K 2R1, Canada
关键词
multiphase-composites; double-inclusion model; ellipsoidal inclusions; elasticity; micromechanics;
D O I
10.1016/j.mechmat.2003.08.016
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A new version of the well-known double-inclusion model of Hori and Nemat-Nasser [Mech. Mater. 14 (1993) 189] is proposed in this work. First, the original model is reformulated in a general way dealing directly with multiphase composites. As in the case of two-phase composites, it is shown that the double-inclusion model includes as special cases some of the previously existing models. Finally, a new solution of the model is proposed that represents more closely the interactions in the material. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:331 / 341
页数:11
相关论文
共 8 条
[1]   A NEW APPROACH TO THE APPLICATION OF MORI-TANAKA THEORY IN COMPOSITE-MATERIALS [J].
BENVENISTE, Y .
MECHANICS OF MATERIALS, 1987, 6 (02) :147-157
[2]   THE EFFECT OF SPATIAL-DISTRIBUTION ON THE EFFECTIVE BEHAVIOR OF COMPOSITE-MATERIALS AND CRACKED MEDIA [J].
CASTANEDA, PP ;
WILLIS, JR .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1995, 43 (12) :1919-1951
[3]   VARIATIONAL TREATMENT OF ELASTIC-CONSTANTS OF DISORDERED MATERIALS [J].
DEDERICHS, PH ;
ZELLER, R .
ZEITSCHRIFT FUR PHYSIK, 1973, 259 (02) :103-116
[5]   DOUBLE-INCLUSION MODEL AND OVERALL MODULI OF MULTIPHASE COMPOSITES [J].
HORI, M ;
NEMATNASSER, S .
MECHANICS OF MATERIALS, 1993, 14 (03) :189-206
[6]   The connections between the double-inclusion model and the Ponte Castaneda-Willis, Mori-Tanaka, and Kuster-Toksoz models [J].
Hu, GK ;
Weng, GJ .
MECHANICS OF MATERIALS, 2000, 32 (08) :495-503
[7]   AVERAGE STRESS IN MATRIX AND AVERAGE ELASTIC ENERGY OF MATERIALS WITH MISFITTING INCLUSIONS [J].
MORI, T ;
TANAKA, K .
ACTA METALLURGICA, 1973, 21 (05) :571-574
[8]   Stiffness predictions for unidirectional short-fiber composites: Review and evaluation [J].
Tucker, CL ;
Liang, E .
COMPOSITES SCIENCE AND TECHNOLOGY, 1999, 59 (05) :655-671