Computational evaluation of effective material properties of composites reinforced by randomly distributed spherical particles

被引:155
作者
Kari, Sreedhar
Berger, Harald
Rodriguez-Ramos, Reinaldo
Gabbert, Ulrich
机构
[1] Univ Magdeburg, Inst Mech, D-39106 Magdeburg, Germany
[2] Univ La Habana, Fac Matemat & Computac, Havana 4, Cuba
关键词
finite element method; representative volume element; homogenization; periodic boundary conditions;
D O I
10.1016/j.compstruct.2005.07.003
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The aim of presenting this paper is to evaluate the effective material properties of spherical particle reinforced composites for different volume fractions up to 60%. A numerical homogenization technique based on the finite element method (FEM) with representative volume element (RVE) was used to evaluate the effective material properties with periodic boundary conditions. The numerical approach is based on the FEM and it allows the extension of the composites with arbitrary geometrical inclusion configurations, providing a powerful tool for fast calculation of their effective material properties. Modified random sequential adsorption algorithm (RSA) was used to generate the three-dimensional RVE models of randomly distributed spherical particles. The effective material properties obtained using the numerical homogenization techniques were compared with different analytical methods and good agreement was achieved. Several investigations had been conducted to estimate the influence of the size of spherical particles and of the RVE on effective material properties of spherical particle reinforced composites. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:223 / 231
页数:9
相关论文
共 33 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]   An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites [J].
Berger, H ;
Kari, S ;
Gabbert, U ;
Rodriguez-Ramos, R ;
Guinovart, R ;
Otero, JA ;
Bravo-Castillero, J .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (21-22) :5692-5714
[3]   Finite element and asymptotic homogenization methods applied to smart composite materials [J].
Berger, H ;
Gabbert, U ;
Köppe, H ;
Rodriguez-Ramos, R ;
Bravo-Castillero, J ;
Guinovart-Diaz, R ;
Otero, JA ;
Maugin, GA .
COMPUTATIONAL MECHANICS, 2003, 33 (01) :61-67
[4]  
BERGER H, IN PRESS SMART MAT S
[5]   Multi-inclusion unit cell models for metal matrix composites with randomly oriented discontinuous reinforcements [J].
Böhm, HJ ;
Eckschlager, A ;
Han, W .
COMPUTATIONAL MATERIALS SCIENCE, 2002, 25 (1-2) :42-53
[6]  
CHRISTENSEN RM, 1979, J MECH PHYS SOLIDS, V27, P315, DOI 10.1016/0022-5096(79)90032-2
[7]   A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites [J].
Drugan, WJ ;
Willis, JR .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (04) :497-524
[8]   Micromechanics-based variational estimates for a higher-order nonlocal constitutive equation and optimal choice of effective moduli for elastic composites [J].
Drugan, WJ .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (6-7) :1359-1387
[9]  
Eshelby J. D., 1961, Prog. Solid Mech, V2, P89
[10]   THE ELASTIC FIELD OUTSIDE AN ELLIPSOIDAL INCLUSION [J].
ESHELBY, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 252 (1271) :561-569