Using microstructure reconstruction to model mechanical behavior in complex microstructures

Mechanics of Materials

Volumn 38, Issue 8-10, 2006, Pages 818-832

  Kumar, H ^a   Briant, C L ^a   Curtin, W A ^a  

^a Brown University   (United States)

Author keywords

Ductile iron; Micromechanical modeling; Microstructure; Monte Carlo techniques; Two phase composites

Indexed keywords

ALGORITHMS; ANNEALING; COMPUTER SIMULATION; CORRELATION THEORY; ELASTICITY; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; STATISTICAL METHODS; STRAIN; STRESS ANALYSIS;

MICROMECHANICAL MODELING; MICROSTRUCTURE RECONSTRUCTION METHODS; MONTE CARLO TECHNIQUES; TWO-PHASE COMPOSITES;

MICROSTRUCTURE;

EID: 33646339644     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2005.06.030     Document Type: Article

References (26)

1. Bao G., Hutchinson J.W., and McMeekings R.M. Particle reinforcement of ductile matrices against plastic flow and creep. Acta Metall. 39 (1991) 1871-1882
2. Brockenbrough J.R., Suresh S., and Wienecke H.A. Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape. Acta Metall. 5 (1991) 735-752
3. Castaneda P.P. The effective mechanical properties of nonlinear isotropic composites. J. Mech. Phys. Solids 39 (1991) 45-71
4. Christman T., Needleman A., and Suresh S. An experimental and numerical study of deformation in metalceramic composites. Acta Metall. 37 (1989) 3029-3050
5. Jia S., Raiser G.F., and Povrik G.L. Modeling the effects of hole distribution in perforated aluminum sheets I: representative unit cells. Int. J. Solids Struct. 39 (2002) 2517-2532
6. Lee K., and Ghosh S. A microstructure based numerical method for constitutive modeling of composite and porous materials. Mater. Sci. Eng. A 272 (1999) 120-133
7. Lewandowski J.J., Liu C., and Hunt W.H. Effects of matrix microstructure and particle distribution on fracture of an aluminum metal matrix composite. Mater. Sci. Eng. A 107 (1989) 241-255
8. Li M., Ghosh S., and Richmond O. An experimental computational approach to the investigation of damage evolution in discontinuously reinforced aluminum matrix composite. Acta Metall. 47 (1999) 3515-3532
9. Lu B., and Torquato S. Lineal-path function for random heterogeneous materials. Phys. Rev. A 45 (1992) 922-929
10. Milton G.W. The Theory of Composites (2002), Cambridge University Press
11. Moorthy S., and Ghosh S. Particle cracking in discretely reinforced materials with the voronoi cell finite element model. Int. J. Plast. 14 (1998) 805-827
12. Moulinec H., and Suquet P. A numerical method for computing the overall response of nonlinear composites with complex microstructure. Comput. Methods Appl. Mech. Eng. 157 (1998) 69-94
13. Povirk G.L. Incorporation of microstructural information into models of two-phase materials. Acta Metall. 43 (1994) 3199-3206
14. Povirk G.L., and Jia S. Modelling the effects of reinforcement distribution on the elastic properties of composite materials. Modell. Simul. Mater. Sci. Eng. 6 (1998) 587
15. Rintoul M.D., and Torquato S. Reconstruction of the structure of dispersions. J. Colloid Interf. Sci. 186 (1997) 467-476
16. Roberts A.P., and Garboczi E.J. Elastic properties of model random three-dimensional open-cell solids. J. Mech. Phys. Solids 50 (2002) 33-55
17. Sorensen N., Tvergaard V., and Needleman A. Three-dimensional analysis of creep in a metal matrix composite. Mater. Sci. Eng. A 158 (1992) 129-137
18. Sundaraghavan V., and Zabras N. Classification and reconstruction of three-dimensional microstructures using support vector machines. Comput. Mater. Sci. 32 (2004) 223-239
19. Tewari A., Dighe M., and Gokhale A.M. Quantitative characterization of spatial arrangement of micropores in cast microstructures. Mater. Charact. 40 (1998) 119-132
20. Torquato S. Morphology and effective properties of disordered heterogeneous media. Int. J. Solids Struct. 35 (1998) 2385-2406
21. Torquato S. Modeling of physical properties of composite materials. Int. J. Solids Struct. 37 (2000) 411-422
22. Torquato S. Random Heterogeneous Materials: Microstructure and Macroscopic Properties (2002), Springer
23. Tvergaard V. Analysis of tensile properties for a whisker-reinforced metal-matrix composite. Acta Metall. Mater. 38 (1990) 185-194
24. Vedula V.R., Glass S.J., Saylor D.M., Rohrer G.S., Carter W.C., Langer S.A., and Fuller E.R. Residual-stress predictions in polycrystalline alumina. J. Am. Ceram. Soc. 84 (2001) 2947-2954
25. Yeong C.L.Y., and Torquato S. Reconstructing random media. Phys. Rev. E 57 (1998) 495-506
26. Yeong C.L.Y., and Torquato S. Reconstructing random media. II. Three-dimensional media from two-dimensional cuts. Phys. Rev. E 58 (1998) 224-233