Morphology based domain partitioning of multi-phase materials: A preprocessor for multi-scale modelling

International Journal for Numerical Methods in Engineering

Volumn 69, Issue 8, 2007, Pages 1717-1754

  Valiveti, D M ^a   Ghosh, Somnath ^a  

^a Ohio State University   (United States)

Author keywords

Domain partitioning; Microstructure simulation; Multiscale characterization

Indexed keywords

COMPUTER SIMULATION; GEOMETRY; HIGH RESOLUTION ELECTRON MICROSCOPY; METALLOGRAPHIC MICROSTRUCTURE; MORPHOLOGY; SCANNING ELECTRON MICROSCOPY;

DOMAIN PARTITIONING; MICROSTRUCTURE SIMULATION; MULTISCALE CHARACTERIZATION;

ALUMINUM ALLOYS;

ALUMINUM ALLOYS; COMPUTER SIMULATION; GEOMETRY; HIGH RESOLUTION ELECTRON MICROSCOPY; METALLOGRAPHIC MICROSTRUCTURE; MORPHOLOGY; SCANNING ELECTRON MICROSCOPY;

EID: 33846992655     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1834     Document Type: Article

References (63)

1. Wang QG, Caceres CH, Griffiths JR. Damage by eutectic particle cracking in Aluminum casting alloys A356/357. Metallurgical and Materials Transactions A 2003; 34:2901-2912.
2. Wang QG. Microstructural effects on the tensile and fracture behavior of Aluminum casting alloys A356/357. Metallurgical and Materials Transactions A 2003; 34:2887-2899.
3. Argon AS, Im J, Sofoglu R. Cavity formation from inclusions in ductile fracture. Metallurgical and Materials Transactions A 1975; 6:825-837.
4. Christman T, Needleman T, Suresh S. An experimental and numerical study of deformation in metal-ceramic composites. Acta Metallurgica et Materialia 1989; 37:3029-3050.
5. Gonzalez C, Llorca J. Prediction of the tensile stress-strain curve and ductility in Al/SiC composites. Scripta Metallurgica 1996; 35(1):91-97.
6. Weissenbek E, Boehm HJ, Rammerstoffer FG. Micromechanical investigations of fiber arrangement effects in particle reinforced metal matrix composites. Computational Materials Science 1994; 3:263-278.
7. Segurado J, Llorca J. A computational micromechanics study of the effects of interface decohesion on the mechanical behavior of composites. Acta Materialia 2005; 53:4931-4942.
8. Boehm HJ, Han W, Ecksclager A. Multi-inclusion unit cell studies of reinforcement stresses and particle failure in discontinuously reinforced ductile matrix composites. Computer Modeling in Engineering and Sciences 2004; 5:5-20.
9. Yang S, Gokhale AM, Shan Z. Utility of microstructure modeling for simulation of micro-mechanical response of composites containing non-uniformly distributed fibers. Acta Materialia 2000; 48:2307-2322.
10. Shan Z, Gokhale AM. Digital image analysis and microstructure modeling tools for microstructure sensitive design of materials. International Journal of Plasticity 2004; 20:1347-1370.
11. Terada K, Miura T, Kikuchi N. Digital image-based modeling applied to the homogenization analysis of composite materials. Computational Mechanics 1997; 20(4):331-346.
12. Ghosh S, Ling Y, Majumdar B, Kim R. Interfacial debonding analysis in multiple fiber reinforced composites. Mechanics of Materials 2000; 32:561-591.
13. Li M, Ghosh S, Richmond O. An experimental-computational approach to the investigation of damage evolution in discontinuously reinforced aluminum matrix composites. Acta Materialia 1999; 47(12):3515-3552.
14. Li S, Ghosh S. Extended Voronoi cell finite element model for multiple cohesive crack propagation in brittle materials. International Journal for Numerical Methods in Engineering 2006; 65:1028-1067.
15. Smit RJM, Brekelmans WAM, Meijer HEH. Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling. Computer Methods in Applied Mechanics and Engineering 1998; 155(1-2):181-192.
16. Raghavan P, Ghosh S. Adaptive multi-scale computational modeling of composite materials. Computer Modeling in Engineering and Sciences 2004; 5:151-170.
17. Ghosh S, Lee K, Raghavan P. A multi-level computational model for multi-scale damage analysis in composite and porous materials. International Journal of Solids and Structures 2001; 38(14):2335-2385.
18. Raghavan P, Ghosh S. Concurrent multi-scale analysis of elastic composites by a multi-level computational model. Computer Methods in Applied Mechanics and Engineering 2004; 5(2):151-170.
19. Fish J, Shek K. Multiscale analysis of composite materials and structures. Composites Science and Technology 2000; 60:2547-2556.
20. Fish J, Yu Q, Shek K. Computational damage mechanics for composite materials based on mathematical homogenization. International Journal for Numerical Methods in Engineering 1999; 45:1657-1679.
21. Hao S, Liu WK, Moran B, Vemerey F, Olson GB. Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels. Computer Methods in Applied Mechanics and Engineering 2004; 193(17-20):1865-1908.
22. Hao S, Moran B, Liu WK, Olson GB. A Hierarchical multi-physics model for design of high toughness steels. Journal of Computer-Aided Materials Design 2003; 10:99-142.
23. Oden JT, Zohdi TI. Analysis and adaptive modeling of highly heterogeneous elastic structures. Computer Methods in Applied Mechanics and Engineering 1997; 148:367-391.
24. Vemaganti K, Oden JT. Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials, Part II: A computational environment for adaptive modeling of heterogeneous elastic solids. Computer Methods in Applied Mechanics and Engineering 2001; 190:6089-6124.
25. Terada K, Kikuchi N. Simulation of the multi-scale convergence in computational homogenization approaches. International Journal of Solids and Structures 2000; 37:2285-2311.
26. Zohdi TI, Wriggers P. A domain decomposition method for bodies with heterogeneous microstructure based on material regularization. International Journal of Solids and Structures 1999; 36:2507-2525.
27. Chung PW, Tamma KK. Woven fabric composites: developments in engineering bounds, homogenization and applications. International Journal for Numerical Methods in Engineering 1999; 45:1757-1790.
28. Raghavan P, Li S, Ghosh S. Two scale response and damage modeling of composite materials. Finite Elements in Analysis and Design 2004; 40(12):1619-1640.
29. Xia Z, Curtin WA, Peters PWM. Multiscale modeling of failure in metal matrix composites. Acta Materialia 2001; 49:273-287.
30. Gokhale AM, Yang S. Application of image processing for simulation of mechanical response of multi-length scale microstructures of engineering alloys. Metallurgical and Materials Transactions A 1999; 30:2369-2381.
31. Tewari A, Gokhale AM, Spowart JE, Miracle DB. Quantitative characterization of spatial clustering in three-dimensional microstructures using two-point correlation functions. Acta Materialia 2004; 52:307-319.
32. Yeong CLY, Torquato S. Reconstructing random media. Physical Review E 1998; 57:495-505.
33. Rintoul MD, Torquato S. Reconstruction of structure of dispersions. Journal of Colloid and Interface Science 1996; 186:467-476.
34. Manwart C, Torquato S, Hilfer R. Stochastic reconstruction of sandstones. Physical Review E 2000; 62:893-899.
35. Yang N, Boselli J, Sinclair I. Simulation and quantitative assessment of homogeneous and inhomogeneous particle distributions in particulate metal matrix composites. Journal of Microscopy 2000; 201:189-200.
36. Cooper DW. Random sequential packing simulation in three dimensions for spheres. Physical Review A 1998; 38:522-524.
37. Everett RK, Chu JH. Modeling of non-uniform composite microstructures. Journal of Composite Materials 1992; 27:1128-1144.
38. Freeman, Pasztor EC, Carmichael OT. Learning low-level vision. International Journal of Computer Vision 2000; 40:24-47.
39. Robert RK. Cubic convolution interpolation for digital image processing. IEEE Transactions on Acoustics, Speech and Signal Processing 1981; ASSP-29:1153-1160.
40. Unser M, Aldroubi A, Eden M. Fast B-spline transforms for continuous image representation and interpolation. IEEE Transactions on Pattern Analysis and Machine Intelligence 1991; 13:277-285.
41. Jensen K, Anastassiou D. Subpixel edge localization and the interpolation of still images. IEEE Transactions on Image Processing 1995; 4:285-295.
42. Prasad L, Iyengar SS. Wavelet Analysis with Applications to Image Processing. CRC Press: Boca Raton, FL, 1997.
43. Torquato S. Random Heterogeneous Materials: Microstructure and Macroscopic Properties. Springer: New York, 2002.
44. Chui CK. An Introduction to Wavelets. Academic Press: New York, 1992.
45. Qian S, Weiss J. Wavelets and the numerical solution of boundary value problems. Applied Mathematics Letters 1993; 6(1):47-52.
46. Everson R, Sirovich L, Sreenivasan KR. Wavelet analysis of the turbulent jet. Physics Letters A 1990; 145:314-322.
47. Lewalle J. Wavelet analysis of experimental data: some methods and the underlying physics. AIAA 94-2281, 25th AIM Fluid Dynamics Colorado Springs, 1994.
48. Sahoo PK, Soltani S, Wong AKC. A survey of thresholding techniques. Computer Vision Graphics Image Process 1988; 41:233-260.
49. Luthon F, Lievin M, Faux F. On the use of entropy power for threshold selection. Signal Processing 2004; 84:1789-1804.
50. Russ JC. The Image Processing Handbook. CRC/IEEE Press: Boca Raton/New York, 1999.
51. Caceres CH, Griffiths JR, Reiner P. The influence of microstructure on the Bauschinger effect in as Al-Si-Mg casting alloy. Acta Materialia 1996; 44:15-23.
52. Caceres CH, Davidson CJ, Griffiths JR, Wang QG. The effect of Mg on the microstructure and mechanical behavior of Al-Si-Mg Casting alloys. Metallurgical and Materials Transactions A 1999; 30:2611-2618.
53. Seul M, O'Gorman L, Sammon MJ. Practical Algorithms for Image Analysis. Cambridge University Press: Cambridge, MA, 2000.
54. Spitzig WA, Kelly JF, Richmond O. Quantitative characterization of second-phase populations. Metallography 1985; 18:235-261.
55. Li M, Ghosh S, Richmond O, Weiland H, Rouns TN. Three dimensional characterization and modeling of particle reinforced metal matrix composites part II: Damage characterization. Materials Science and Engineering A 1999; 266:221-240.
56. Ghosh S, Nowak Z, Lee K. Tessellation-based computational methods for the characterization and analysis of heterogeneous microstructures. Composites Science and Technology 1997; 57:1187-1210.
57. Ghosh S, Nowak Z, Lee K. Quantitative characterization and modeling of composite microstructures by voronoi cells. Acta Materialia 1997; 45:2215-2234.
58. Yotte S, Riss J, Breysse D, Ghosh S. PMMC cluster analysis. Computer Modeling in Engineering and Sciences 2004; 5:171-187.
59. Karnezis PA, Durrant G, Cantor B. Characterization of reinforced distribution in cast Al-Alloy/SiC composites. Materials Characterization 1998; 40:97-109.
60. Anson JP, Gruzleski JE. The quantitative discrimination between shrinkage and gas microporosity in cast aluminum alloys using spatial data analysis. Materials Characterization 1999; 43:319-335.
61. Serra J. Image Analysis and Mathematical Morphology. Academic Press: New York, 1982.
62. Swaminathan S, Ghosh S, Pagano NJ. Statistically equivalent representative volume elements for unidirectional composite microstructures: Part I - without damage. Journal of Composite Materials 2006; 40:583-604.
63. Spowart JE, Mayurama B, Miracle DB. Multiscale characterization of spatially heterogeneous systems: implications for discontinuously reinforced metal-matrix composite microstructures. Materials Science and Engineering A 2001; 307:51-66.