Averaging and finite-element discretization approaches in the numerical analysis of functionally graded materials

被引:121
作者
Cho, JR [1 ]
Ha, DY [1 ]
机构
[1] Pusan Natl Univ, Sch Mech Engn, Kumjung Ku, Pusan 609735, South Korea
来源
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING | 2001年 / 302卷 / 02期
关键词
Ni-Al2O3 functionally graded materials; material-property estimation methods; averaging and finite-element discretization approaches; volume fraction; rectangular cells;
D O I
10.1016/S0921-5093(00)01835-9
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
Thermomechanical properties and responses of dual-phase functionally graded materials have been estimated by conventional averaging approaches, such as rules of mixtures, mean-field micromechanics and so on. However, the appropriateness of such models has been recently reported to be questionable. In this paper. we numerically investigated three representative averaging estimation methods, the linear and modified rules of mixtures and the Wakashima-Tsukamoto estimate, by comparing with the finite-element discretization approach utilizing rectangular cells. Through numerical experiments for the elastic and thermoelastic response of Ni-Al2O3 functionally graded materials (FGMs), we presented comparative results together with introduction of a suggestive approach. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:187 / 196
页数:10
相关论文
共 15 条
[1]   Functionally graded material: a parametric study on thermal-stress characteristics using the Crank-Nicolson-Galerkin scheme [J].
Cho, JR ;
Oden, JT .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 188 (1-3) :17-38
[2]  
Christensen R. M., 1979, Mechanics of composite materials
[3]  
Ghosh S, 1993, COMPUT METHODS APPL, V104, P221
[4]   ELASTOPLASTIC ANALYSIS OF THERMAL CYCLING - LAYERED MATERIALS WITH COMPOSITIONAL GRADIENTS [J].
GIANNAKOPOULOS, AE ;
SURESH, S ;
FINOT, M ;
OLSSON, M .
ACTA METALLURGICA ET MATERIALIA, 1995, 43 (04) :1335-1354
[5]   Determination of effective elastic properties of functionally graded materials using Voronoi cell finite element method [J].
Grujicic, M ;
Zhang, Y .
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 1998, 251 (1-2) :64-76
[6]   A VARIATIONAL APPROACH TO THE THEORY OF THE ELASTIC BEHAVIOUR OF MULTIPHASE MATERIALS [J].
HASHIN, Z ;
SHTRIKMAN, S .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1963, 11 (02) :127-140
[7]  
Hashin Z., 1963, J MECH PHYS SOLIDS, V11, P357
[9]  
Koizumi M., 1992, CERAM ENG SCI P, V13, P333, DOI DOI 10.1002/9780470313954.CH33
[10]   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