Micromechanical and macroscopic models of ductile fracture in particle reinforced metallic materials

Modelling and Simulation in Materials Science and Engineering

Volumn 15, Issue 4, 2007, Pages

  Hu, Chao ^a   Bai, Jie ^a   Ghosh, Somnath ^a  

^a Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK INITIATION; DUCTILE FRACTURE; FINITE ELEMENT METHOD; HOMOGENIZATION METHOD; MATHEMATICAL MODELS; MICROMECHANICS; MICROSTRUCTURE; NUMERICAL METHODS;

MACROSCOPIC MODELS; MULTI-SCALE MATERIAL MODELS; PARTICLE FRAGMENTATION;

REINFORCED PLASTICS;

EID: 34250220013     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/15/4/S05     Document Type: Conference Paper

References (30)

1. Ghosal A K and Narasimhan R 1996 Mixed-node fracture initiation in a ductile material with a dual population of second-phase particles Mater. Sci. Eng. A 211 117-27
2. Steglich D and Brocks W 1997 Micromechanical modeling of the behavior of ductile materials including particles Comput. Mater. Sci. 9 7-17
3. Llorca J and Gonzalez C 1998 Microstructural factors controlling the strength and ductility of particle reinforced metal-matrix composites J. Mech. Phys. Solids 46 1-28
4. Ghosh S and Moorthy S 1998 Particle fracture simulation in non-uniform microstructures of metal-matrix composites Acta Mater. 46 965-82
5. Moorthy S and Ghosh S 1998 A Voronoi cell finite element model for particle cracking in elastic-plastic composite materials Comput. Methods Appl. Mech. Eng. 151 377-400
6. Li S and Ghosh S 2004 Debonding in composite microstructures with morphological variations Int. J. Comput. Methods 1 121-49
7. Leblond J B, Perrin G and Devaux J 1994 Bifurcation effects in ductile metals with nonlocal damage J. Appl. Mech. 61 236-42
8. Tvergaard V and Needleman A 1995 Effect of non-local damage in porous plastic solids Int. J. Solids Struct. 32 1063-77
9. Tvergaard V and Needleman A 1997 Nonlocal effects on localization in a void-sheet Int. J. Solids Struct. 34 2221-38
10. Rice J R 1976 The localization of plastic deformation Proc. 14th Int. Congr. on Theoretical and Applied Mechanics (Delft) (Amsterdam: North-Holland/New York) pp 207-20
11. Chien W Y, Pan J and Tang S C 2001 Modified anisotropic Gurson yield criterion for porous ductile sheet metals J. Eng. Mater. Technol. 123 409-16
12. Benzerga A A, Besson J and Pineau A 2004 Anisotropic ductile fracture: II. Theory Acta Mater. 52 4639-50
13. Benzerga A A and Besson J 2001 Plastic potential for anisotropic porous solids Eur. J. Mech. A 20 397-434
14. Benzerga A A, Besson J, Batisse R and Pineau A 2002 Synergistic effects of plastic anisotropy and void coalescence on fracture mode in plane strain Modelling Simul. Mater. Sci. Eng. 10 73-102
15. Aravas N 1987 On the numerical integration of a class of pressure-dependent plasticity models Int. J. Numer. Methods Eng. 24 1395-416
16. Bass J M and Oden J T 1987 Adaptive finite element methods for a class of evolution problems in visco-plasticity Int. J. Eng. Sci. 6 623-53
17. Hughes T J R 1980 Generalization of selected integration procedures to anisotropic and nonlinear media Int. J. Numer. Methods Eng. 15 1413-8
18. Green A E and Naghdi P M 1965 A general theory of an elastic-plastic continuum Arch. Ration Mech. Anal. 18 251-81
19. Li M, Ghosh S and Richmond O 1999 A experimental-computational approach to the investigation of damage evolution in discontinuously reinforced aluminum matrix composite Acta Mater. 47 3515-32
20. Chu C C and Needleman A 1980 Void nucleation effects in biaxially stretched sheets J. Eng. Mater. Technol. 102 249-56
21. Tvergaard V 1981 Influence of voids on shear band instabilities under plane strain conditions Int. J. Fract. Mech. 17 389-407
22. Ghosh S and Kikuchi N 1991 An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids Comput. Methods Appl. Mech. Eng. 86 127-88
23. Zienkiewicz O C and Zhu J Z 1992 The superconvergent patch recovery and a posteriori error estimates: 1. The recovery technique Int. J. Numer. Methods Eng. 33 1331-64
24. Ghosh S, Lee K. and Raghavan P A 2001 multi-level computational model for multiscale damage analysis in composite porous materials Int. J. Solids Struct. 38 2335-85
25. Swaminathan S, Ghosh S and Pagano NJ 2006 Statistically equivalent representative volume elements for composite microstructures: I. Without damage J. Compos. Mater. 40 583-604
26. Swaminathan S and Ghosh S 2006 Statistically equivalent representative volume elements for composite microstructures: II. With evolving damage J. Compos. Mater. 40 605-21
27. Raghavan P and Ghosh S 2004 Concurrent multi-scale analysis of elastic composites by a multi-level computational model Comput. Methods Appl. Mech. Eng. 193 497-538
28. Hill R A 1948 A theory of yielding and plastic flow of anisotropic metals Proc. R. Soc. Lond. Ser. A 193 281-97
29. Chao H and Ghosh S 2007 Enriched Voronoi cell FEM for ductile fracture in particle reinforced metallic materials submitted
30. Bai J and Ghosh S 2007 Homogenization based anisotropic continuum damage mechanics model for ductile failure in metallic materials with voids submitted