A Constructive Approach for Heterogeneous Material Modeling and Analysis

Computer-Aided Design and Applications

Volumn 1, Issue 1-4, 2004, Pages 171-178

  Zhang, Xuefeng ^a   Subbarayan, Ganesh ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Composites; Constructive solid analysis; Constructive solid geometry; Heterogeneous material; Porous material

Indexed keywords

2D COMPOSITES; COMPOSITES; CONSTRUCTIVE APPROACH; CONSTRUCTIVE SOLID ANALYSIS; CONSTRUCTIVE SOLID GEOMETRY; EFFECTIVE ELASTIC PROPERTY; GOVERNING EQUATIONS; HETEROGENEOUS MATERIALS; MATERIAL MICROSTRUCTURES; MICROSTRUCTURE DESIGN; RANDOM MICROSTRUCTURE; SOLID ANALYSIS;

COMPUTATIONAL GEOMETRY; MATERIALS HANDLING; MICROSTRUCTURE; POROSITY; POROUS MATERIALS;

FINITE ELEMENT METHOD;

EID: 32844461553     PISSN: 16864360     EISSN: None     Source Type: Journal    
DOI: 10.1080/16864360.2004.10738256     Document Type: Article

References (18)

1. Belytschko, T., Lu, Y., and Gu, L., Element free Galerkin method, Int. J. Numer. Meth. Engng. 37(1994)229
2. Bendsoe, M.P., and Kikuchi, N., Generating optimal topologies in structural design using a homogenization method, Comp. Meth. Appl. Mech. Eng. 83(1990)143–198
3. Farhat, C., A method of finite element tearing and interconnecting and its parallel solution algorithm, Int. J. Num. meth. Eng., 32(1991)1205–1227
4. Fujii, D., Chen, B.C., and Kikuchi, N., Composite material desigm of two-dimensional structures using homogenization design method, Int. J. Numer. Mech. Engng 50(2001)2031–2051
5. Guedes, J.M., and Kikuchi, N., Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods, Comp. Meth. Appl. Mech. Eng. 83(1990)143–198
6. Hollister, S.J., and Kikuchi, N., A comparison of homogenization and mechanics analyses for periodic porous composites, Computational Mechanics, 10(1992)73–95
7. Kagan, P., and Fischer, A., Integrated mechanically based cae systems using b-spline based finite elements, Computer Aided Design, 32(2000).
8. Kikuchi, N., Nishiwaki, N., Fonseca, J., and Silva, E., Design optimization method for compliant mechanisms and material microstructure, Comput. Methods Appl. Mech. Engrg. 151(1998)401–417
9. Langer, S., Fuller, E., and Carter, W.C., OOF:An Image-Based Finite-Element Analysis of Material Microstructures, Computing in Science and Engineering, 2001
10. Mortenson, M.E., Geometric modeling, 2nd ed. London:Wiley; 1997.
11. Natekar, D., Constructive solid analysis (CSA):a hierarchical, geometry-based meshless procedure for integrated analysis and design, PhD thesis, University of Colorado at Boulder, 2002
12. Natekar, D., Zhang, X., and Subbarayan, G., Constructive solid analysis:a hierarchical, geometry-based meshless analysis procedure for integrated design and analysis, Computer-Aided Design 36(2004)473
13. Neves, M.M., Rodrigues, H., and Guedes, J.M., Optimal design of periodic linear elastic microstructures, Computers and Structures, 76(2000)421–429
14. Piegl, L., and Tiller, W., The NURBS Book, Springer, Berlin, 1995
15. Putnam, L.K., and Subrahmanyam, P.A., Boolean operations on n-dimensional objects. IEEE Comput. Graph Appl. 6(1986)43.
16. Sigmund, O., Materials with prescribed constitutive parameters:an inverse homogenization problem, Int. J. Solids. Structures 31(1994)2313–2329
17. Tvergaard, V., Analysis of tensile properties for a whisker-reinforced matrix composite, Acta Metall. Mater., 38(1990)185–194
18. Zhang, X., and Subbarayan, G., A Symbolic Java Language Implementation of a Multi-Physics Framework for NURBS based Design and Meshless Analysis, under preparation for submission to Computers and Structures