On the tailoring of microstructures for prescribed effective properties

International Journal of Fracture

Volumn 118, Issue 4, 2002, Pages

  Zohdi, T I ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GENETIC ALGORITHMS; MICROSTRUCTURE; PROBLEM SOLVING;

MATERIAL DESIGN;

FRACTURE;

DESIGN; GENETIC ALGORITHM; MICROSTRUCTURE;

EID: 0038658832     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. Ainsworth, M. and Oden, J. T., (2000). A posterori error estimation in finite element analysis. John-Wiley.
2. Bendsoe, M. (1995) Optimization of structural topology, shape and material. Springer Verlag, Berlin Heidelberg
3. Davis, L. (1991). Handbook of genetic algorithms. Thompson Computer Press.
4. Fish, J. and Ghouli, A. (2001) Multiscale Analytical sensitivity analysis for composite materials. International Journal for Numerical Methods in Engineering. Vol. 50, 1501-1520.
5. Fu, Y., Klimkowski, K., Rodin, G. J., Berger, E., Browne, J. C., Singer, J. K., Van de Geijn, R. A. and Vemaganti, K. (1998). Fast solution method for three-dimensional many-particle problems of linear elasticity. The International Journal of Numerical Methods in Engineering. 42, 1215-1229.
6. Ghosh, S., Lee, K., Raghavan, P. (2001) A multi-level computational model for multi-scale damage analysis in composite and porous materials. International Journal of Solids and Structures. 38, 2335-2385.
7. Goldberg, D. E. (1989). Genetic algorithms in search, optimization and machine learning. Addison-Wesley.
8. Goldberg, D. E. and Deb, K. (2000) Special issue on genetic algorithms. Computer Methods in Applied Mechanics and Engineering. 186 (2-4) 121-124.
9. Hashin, Z. and Shtrikman, S. (1962). On some variational principles in anisotropic and non-homogeneous elasticity. Journal of the Mechanics and Physics of Solids. 10, 335-342.
10. Hashin, Z. and Shtrikman, S. (1963). A variational approach to the theory of the elastic behaviour of multiphase materials. Journal of the Mechanics and Physics of Solids. 11, 127-140.
11. Holland, J. H. (1975). Adaptation in natural and artificial systems. Ann Arbor, Mich. University of Michigan Press.
12. Huet, C. (1990). Application of variational concepts to size effects in elastic heterogeneous bodies. Journal of the Mechanics and Physics of Solids. 38, 813-841.
13. Huet C. (1997). An integrated micromechanics and statistical continuum thermodynamics approach for studying the fracture behaviour of microcracked heterogeneous materials with delayed response. Engineering Fracture Mechanics, Special Issue. 58, 5-6, 459-556.
14. Hyun, S. and Torquato, S. (2001). Designing composite microstructures with targeted properties. J. Mater. Res., 15, 1985-1993.
15. Kikuchi, N., Nishiwaki, S., Fonseca, J.O., and Silva, E.C.N. (1998). Design Optimization Method for Compliant Mechanisms and Material Microstructure. Computer Methods in Applied Mechanics and Engineering. Vol. 151, 401-417.
16. Le Tallec, P. (1994). Domain decomposition methods in computational mechanics. Computational Mechanics Advances. 1, 121-220.
17. Moulinec, H. and Suquet, P. (1998). A numerical method for computing the overall response of nonlinear composites with complex microstructure. Computer Methods in Applied Mechanics and Engineering. 157, 69-94.
18. Oden, J. T. and Vemaganti, K. (1999) Adaptive hierarchical modeling of heterogeneous structures. Physica D, volume 133, pp. 404-415.
19. Onwubiko, C. (2000). Introduction to engineering design optimization. Prentice Hall.
20. Sigmund, O. (2000). Topology optimization: a tool for the tailoring of structures and materials. A special issue of the Philosophical Transactions of the Royal Society: Science into the next Millennium (Issue III, Mathematics, Physics and Engineering). 358(1765), pp. 211-228.
21. Torquato, S. (2001). Random heterogeneous materials: microstructure and macroscopic properties. Springer-Verlag, New York.
22. Torquato, S. and Hyun, S. (2001). Effective-medium approximation for composite media: Realizable single-scale dispersions. J. Appl. Phys., 89, 1725-1729.
23. Zohdi, T. I., Oden, J. T. and Rodin, G. J. (1996). Hierarchical modeling of heterogeneous bodies. Computer Methods in Applied Mechanics and Engineering. 138, 273-298.
24. Zohdi, T. I., Wriggers, P. and Huet, C. (2001). A method of substructuring large-scale computational micromechanical problems. Computer Methods in Applied Mechanics and Engineering. 190. 43-44, 5639-5656.
25. Zohdi, T. I. (2001). Computational optimization of vortex manufacturing of advanced materials. Computer Methods in Applied Mechanics and Engineering. 190. 46-47, 6231-6256.