Dual-stage nested homogenization for rate-dependent anisotropic elasto-plasticity model of dendritic cast aluminum alloys

International Journal of Plasticity

Volumn 27, Issue 10, 2011, Pages 1677-1701

  Paquet, Daniel ^a   Dondeti, Piyush ^a   Ghosh, Somnath ^a  

^a Ohio State University   (United States)

Author keywords

Anisotropic continuum plasticity model; Asymptotic expansion homogenization; LE VCFEM; Rate dependent material; Self consistent homogenization

Indexed keywords

ASYMPTOTIC EXPANSION HOMOGENIZATION; CONTINUUM PLASTICITY; LE-VCFEM; RATE-DEPENDENT MATERIALS; SELF-CONSISTENT HOMOGENIZATION;

ALUMINUM; ALUMINUM ALLOYS; ALUMINUM METALLURGY; ANISOTROPY; ASYMPTOTIC ANALYSIS; CERIUM ALLOYS; DENDRITES (METALLOGRAPHY); MICROSTRUCTURAL EVOLUTION; PLASTICITY;

HOMOGENIZATION METHOD;

EID: 80051798996     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2011.02.002     Document Type: Article

References (40)

1. J.-L. Auriault Upscaling heterogeneous media by asymptotic expansions J. Eng. Mech. 128 2002 817 822
2. A. Benssousan, J.L. Lions, and G. Papanicoulau Asymptotic Analysis for Periodic Structures 1978 North Holland Amsterdam
3. A.A. Benzerga, J. Besson, and A. Pineau Anisotropic ductile fracture, Part II: Theory Acta Mater. 52 2004 4639 4650
4. B. Budiansky On the elastic moduli of some heterogeneous materials J. Mech. Phys. Solids 13 1965 223 227
5. I.W. Chen, and A.S. Argon Steady state power-law creep in heterogeneous alloys with coarse microstructures Acta Metall. 27 1979 785 791 (Pubitemid 9453184)
6. Chisaka, K., December 2009. B.S. Thesis: Microstructure characterization and mechanical properties of cast aluminum alloy AS7GU, advisor: S. Ghosh, The Ohio State University.
7. J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc. Roy. Soc. A - Math. Phys. 241 1957 376 396
8. M. Garajeu, and P. Suquet Effective properties of porous ideally plastic or viscoplastic materials containing rigid particles J. Mech. Phys. Solids 45 1997 873 902 (Pubitemid 127403325)
9. S. Ghosh Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method 2011 CRC Press Taylor & Francis, Boca Raton, Fl
10. S. Ghosh, and N. Kikuchi Finite element formulation for the simulation of hot sheet metal forming processes Int. J. Eng. Sci. 26 1988 143 161 (Pubitemid 18605899)
11. S. Ghosh, and N. Kikuchi An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids Comput. Methods Appl. Mech. Eng. 86 1991 127 188 (Pubitemid 21652771)
12. S. Ghosh, and S. Mukhopadhyay A two dimensional automatic mesh generator for finite element analysis of randomly dispersed composites Comput. Struct. 41 1991 245 256 (Pubitemid 21717791)
13. S. Ghosh, K. Lee, and S. Moorthy Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element model Int. J. Solids Struct. 32 1995 27 62
14. S. Ghosh, K. Lee, and S. Moorthy Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and Voronoi cell finite element model Comput. Methods Appl. Mech. Eng. 132 1996 63 116 (Pubitemid 126395515)
15. S. Ghosh, Z. Nowak, and K. Lee Quantitative characterization and modeling of composite microstructures by Voronoi cells Acta Mater. 45 1997 2215 2234 (Pubitemid 127413863)
16. S. Ghosh, Z. Nowak, and K. Lee Tesselation based computational methods for the characterization and analysis of heterogeneous microstructures Compos. Sci. Technol. 57 1997 1187 1210 (Pubitemid 127422585)
17. S. Ghosh, K. Lee, and P. Raghavan A multi-level computational model for multi-scale damage analysis in composite and porous materials Int. J. Solids Struct. 38 2001 2335 2385 (Pubitemid 32333795)
18. S. Ghosh, D.M. Valiveti, S.J. Harris, and J. Boileau A domain partitioning based pre-processor for multi-scale modeling of cast aluminum alloys Modell. Simul. Mater. Sci. Eng. 14 2006 1363 1396 (Pubitemid 46069557)
19. S. Ghosh, J. Bai, and P. Raghavan Concurrent multi-level model for damage evolution in microstructurally debonding composites Mech. Mater. 39 2007 241 266 (Pubitemid 46048565)
20. S. Ghosh, J. Bai, and D. Paquet Homogenization-based continuum plasticity-damage model for ductile failure of materials containing heterogeneities J. Mech. Phys. Solids 57 2009 1017 1044
21. R. Hill A theory of yielding and plastic flow of anisotropic metals Proc. Roy. Soc. A - Math. Phys. 193 1948 281 297
22. R. Hill A self-consistent mechanics of composite materials J. Mech. Phys. Solids 13 1965 213 222
23. C. Hu, and S. Ghosh Locally enhanced Voronoi cell finite element model (LE-VCFEM) for simulating evolving fracture in ductile microstructures containing inclusions Int. J. Numer. Methods Eng. 76 12 2008 1955 1992
24. K. Liao, J. Pan, and S. Tang Approximate yield criterion for anisotropic porous ductile sheet metals Mech. Mater. 26 1997 213 226 (Pubitemid 127403617)
25. M. Li, S. Ghosh, O. Richmond, H. Weiland, and T.N. Rouns Three dimensional characterization and modeling of particle reinforced MMCs, Part I: Quantitative description of microstructural morphology Mater. Sci. Eng. A 265 1999 153 173
26. M. Li, S. Ghosh, O. Richmond, H. Weiland, and T.N. Rouns Three dimensional characterization and modeling of particle reinforced MMCs, Part II: Damage characterization Mater. Sci. Eng. A 266 1999 221 240 (Pubitemid 30160044)
27. S. Moorthy, and S. Ghosh A Voronoi cell finite element model for particle cracking in elastic-plastic composite materials Comput. Methods Appl. Mech. Eng. 151 1998 377 400 (Pubitemid 128396242)
28. S. Moorthy, and S. Ghosh Adaptivity and convergence in the Voronoi cell finite element model for analyzing heterogeneous materials Comput. Methods Appl. Mech. Eng. 185 2000 37 74
29. S. Nemat-Nasser, and M. Hori Micromechanics: Overall Properties of Heterogeneous Materials 1999 Elsevier pp. 207-243
30. D. Paquet, and S. Ghosh Microstructural effects on ductile fracture in heterogeneous materials. Part I: Sensitivity analysis with LE-VCFEM Eng. Fract. Mech. 78 2011 205 225
31. D. Paquet, and S. Ghosh Microstructural effects on ductile fracture in heterogeneous materials. Part II: Application to cast aluminum microstructures Eng. Fract. Mech. 78 2011 226 233
32. P. Perzyna Fundamental problems in viscoplasticity Adv. Appl. Mech. 9 1966 243 377
33. R. Pyrz Quantitative description of the microstructure of composites: I. Morphology of unidirectional composite systems Compos. Sci. Technol. 50 1994 197 208
34. P. Raghavan, and S. Ghosh Adaptive multiscale modeling of composite materials Comput. Model. Eng. Sci. 5 2 2004 151 170
35. P. Raghavan, and S. Ghosh Concurrent multi-scale analysis of elastic composites by a multi-level computational model Comput. Methods Appl. Mech. Eng. 193 6-8 2004 497 538 (Pubitemid 38187802)
36. E. Sanchez-Palencia Homogenization method for the study of composite media F. Verhulst, Asymptotic Analysis II Lecture Notes in Mathematics vol. 985 1983 Springer Berlin, Heidelberg 192 214
37. R.G. Stringfellow, and D.M. Parks A self-consistent model of isotropic viscoplastic behavior in multiphase materials Int. J. Plast. 7 1991 529 547
38. S. Swaminathan, and S. Ghosh Statistically equivalent representative volume elements for unidirectional composite microstructures: Part II - With damage J. Compos. Mater. 40 2006 605 621
39. S. Swaminathan, S. Ghosh, and N. Pagano Statistically equivalent representative volume elements for unidirectional composite microstructures: Part I - Without damage J. Compos. Mater. 40 2006 583 604
40. D. Wang, J. Pan, and S. Liu An anisotropic Gurson yield criterion for porous ductile sheet metals with planar anisotropy Int. J. Damage Mech. 13 2004 7 33