A MATERIAL BASED FINITE-ELEMENT ANALYSIS OF HETEROGENEOUS MEDIA INVOLVING DIRICHLET TESSELLATIONS

被引:113
作者
GHOSH, S [1 ]
MUKHOPADHYAY, SN [1 ]
机构
[1] UNIV ALABAMA,DEPT ENGN MECH,TUSCALOOSA,AL 35487
基金
美国国家科学基金会;
关键词
D O I
10.1016/0045-7825(93)90198-7
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, a new finite element formulation has been developed for analysis of heterogeneous media, in which the second phase is randomly dispersed within the matrix. It introduces a tessellation based mesh generation technique to account for the arbitrariness in location, shape and size of the second phase. An assumed stress hybrid formulation has been implemented to utilize the resulting Voronoi polygons as elements in a finite element model. The effect of the second phase has been accounted for by introducing a transformation strain based constitutive formulation. Numerical examples have been conducted to validate the model.
引用
收藏
页码:211 / 247
页数:37
相关论文
共 24 条
[1]   A METHOD FOR MODELING MICROSTRUCTURAL MATERIAL DISCONTINUITIES IN A FINITE-ELEMENT ANALYSIS [J].
ACCORSI, ML .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1988, 26 (10) :2187-2197
[2]  
ACCORSI ML, 1991, COMPUT STRUCT, V541, P1065
[3]   THE SPATIAL ARRANGEMENT OF RANDOM VORONOI POLYGONS [J].
BOOTS, BN ;
MURDOCH, DJ .
COMPUTERS & GEOSCIENCES, 1983, 9 (03) :351-365
[4]  
BOWER A, 1981, COMPUT J, V24, P162
[5]  
COOK RD, J STRUCT DIV ASCE, P1851
[6]   HOMOGENIZATION AND DAMAGE FOR COMPOSITE STRUCTURES [J].
DEVRIES, F ;
DUMONTET, H ;
DUVAUT, G ;
LENE, F .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1989, 27 (02) :285-&
[7]  
DUVAUT G, 1976, THEORETICAL APPLIED
[8]   THE DETERMINATION OF THE ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION, AND RELATED PROBLEMS [J].
ESHELBY, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 241 (1226) :376-396
[9]   A 2-DIMENSIONAL AUTOMATIC MESH GENERATOR FOR FINITE-ELEMENT ANALYSIS FOR RANDOM COMPOSITES [J].
GHOSH, S ;
MUKHOPADHYAY, SN .
COMPUTERS & STRUCTURES, 1991, 41 (02) :245-256
[10]   COMPUTING DIRICHLET TESSELLATIONS IN PLANE [J].
GREEN, PJ ;
SIBSON, R .
COMPUTER JOURNAL, 1978, 21 (02) :168-173