Experiments and modeling of anisotropic aluminum extrusions under multi-axial loading - Part II: Ductile fracture

International Journal of Plasticity

Volumn 32-33, Issue , 2012, Pages 36-58

  Luo, Meng ^a   Dunand, Matthieu ^a   Mohr, Dirk ^a,b  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

A. Ductile fracture; B. Aluminum extrusions; B. Anisotropy; B. Modified Mohr Coulomb; B. Stress state

Indexed keywords

ACCURATE PREDICTION; ALUMINUM EXTRUSION; ANISOTROPIC FRACTURES; B. ALUMINUM EXTRUSIONS; B. STRESS STATE; DIGITAL IMAGE CORRELATIONS; ELASTOPLASTIC BEHAVIOR; EQUIVALENT PLASTIC STRAIN; FINITE ELEMENT SIMULATIONS; ISOTROPIC HARDENINGS; LOADING DIRECTION; LOCAL STRESS; MATERIAL ORIENTATION; MOHR-COULOMB; MULTI-AXIAL LOADINGS; NOTCHED TENSILE SPECIMENS; PLASTIC STRAIN TENSORS; STRESS STATE; SURFACE STRAIN FIELD; TENSILE SPECIMENS; THREE DIMENSIONAL STRESS STATE; VON MISES; WEIGHTING FUNCTIONS; YIELD FUNCTION;

ALUMINUM; ANISOTROPY; DUCTILE FRACTURE; EXPERIMENTS; FRACTURE TESTING; PLASTIC DEFORMATION; TENSILE STRENGTH; TESTING; TWO DIMENSIONAL;

EXTRUSION;

EID: 84857918067     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2011.11.001     Document Type: Article

References (79)

1. A. Asserin-Lebert, J. Besson, and A.F. Gourgues Fracture of 6056 aluminum sheet materials: effect of specimen thickness and hardening behavior on strain localization and toughness Materials Science and Engineering: A 395 2005 186 194 (Pubitemid 40345241)
2. Y.L. Bai, and T. Wierzbicki A new model of metal plasticity and fracture with pressure and Lode dependence International Journal of Plasticity 24 2008 1071 1096 (Pubitemid 351400629)
3. Y.L. Bai, and T. Wierzbicki Application of extended Mohr-Coulomb criterion to ductile fracture International Journal of Fracture 161 2010 1 20
4. Y.B. Bao, and T. Wierzbicki A comparative study on various ductile crack formation criteria Journal of Engineering Materials and Technology -Transactions of the ASME 126 2004 314 324 (Pubitemid 40122745)
5. F. Barlat, J.C. Brem, J.W. Yoon, K. Chung, R.E. Dick, D.J. Lege, F. Pourboghrat, S.H. Choi, and E. Chu Plane stress yield function for aluminum alloy sheets - Part 1: Theory International Journal of Plasticity 19 2003 1297 1319
6. A.M. Beese, M. Luo, Y. Li, Y. Bai, and T. Wierzbicki Partially coupled anisotropic fracture model for aluminum sheets Engineering Fracture Mechanics 77 2010 1128 1152
7. A. Benzerga, J. Besson, R. Batisse, and A. Pineau Synergistic effects of plastic anisotropy and void coalescence on fracture mode in plane strain Modelling and Simulation in Materials Science and Engineering 10 2002 73
8. A.A. Benzerga, J. Besson, and A. Pineau Anisotropic ductile fracture. Part II: Theory Acta Materialia 52 2004 4639 4650
9. A.A. Benzerga, and J.-B. Leblond Ductile fracture by void growth to coalescence A. Hassan, G. Erik van der, Advances in Applied Mechanics 2010 Elsevier 169 305
10. F. Bron, and J. Besson Simulation of the ductile tearing for two grades of 2024 aluminum alloy thin sheets Engineering Fracture Mechanics 73 2006 1531 1552 (Pubitemid 44287689)
11. M. Brunet, F. Morestin, and H. Walter-Leberre Failure analysis of anisotropic sheet-metals using a non-local plastic damage model Journal of Materials Processing Technology 170 2005 457 470 (Pubitemid 41526197)
12. M. Brünig, O. Chyra, D. Albrecht, L. Driemeier, and M. Alves A ductile damage criterion at various stress triaxialities International Journal of Plasticity 24 2008 1731 1755
13. M. Brünig, and S. Gerke Simulation of damage evolution in ductile metals undergoing dynamic loading conditions International Journal of Plasticity 27 2011 1598 1617
14. O. Cazacu, and F. Barlat Generalization of Drucker's yield criterion to orthotropy Mathematics and Mechanics of Solids 6 2001 613
15. J.L. Chaboche Continuum damage mechanics: 1. General concepts Journal of Applied Mechanics - Transactions of the ASME 55 1988 59 64 (Pubitemid 18590044)
16. J.L. Chaboche Continuum damage mechanics.2. Damage growth, crack initiation, and crack-growth Journal of Applied Mechanics - Transactions of the ASME 55 1988 65 72 (Pubitemid 18590045)
17. C.L. Chow, and J. Wang An anisotropic theory of continuum damage mechanics for ductile fracture Engineering Fracture Mechanics 27 1987 547 558 (Pubitemid 17635949)
18. C.L. Chow, L.G. Yu, W.H. Tai, and M.Y. Demeri Prediction of forming limit diagrams for AL6111-T4 under non-proportional loading International Journal of Mechanical Sciences 43 2001 471 486
19. C.C. Chu, and A. Needleman Void nucleation effects in biaxially stretched sheets Journal of Engineering Materials and Technology 102 1980 249 256 (Pubitemid 11484651)
20. S.E. Clift, P. Hartley, C.E.N. Sturgess, and G.W. Rowe Fracture prediction in plastic-deformation processes International Journal of Mechanical Sciences 32 1990 1 17
21. M.G. Cockcroft, and D.J. Latham Ductility and the workability of metals Journal of the Institute of Metals 96 1968 33 39
22. T. Coppola, L. Cortese, and P. Folgarait The effect of stress invariants on ductile fracture limit in steels Engineering Fracture Mechanics 76 2009 1288 1302
23. S. Dhar, P.M. Dixit, and R. Sethuraman A continuum damage mechanics model for ductile fracture International Journal of Pressure Vessels and Piping 77 2000 335 344 (Pubitemid 30638826)
24. Dunand, M., Maertens, A., Luo, M., Mohr, D., submitted for publication. Experiments and modeling of anisotropic aluminum extrusions under multi-axial loading - Part I: Plasticity.
25. M. Dunand, and D. Mohr Hybrid experimental-numerical analysis of basic ductile fracture experiments for sheet metals International Journal of Solids and Structures 47 2010 1130 1143
26. M. Dunand, and D. Mohr Optimized butterfly specimen for the fracture testing of sheet materials under combined normal and shear loading Engineering Fracture Mechanics 78 2011 2919 2934
27. F.D. Fischer, O. Kolednik, G.X. Shan, and F.G. Rammerstorfer A note on calibration of ductile failure damage indicators International Journal of Fracture 73 1995 345 357
28. X. Gao, T. Zhang, M. Hayden, and C. Roe Effects of the stress state on plasticity and ductile failure of an aluminum 5083 alloy International Journal of Plasticity 25 2009 2366 2382
29. X. Gao, T. Zhang, J. Zhou, S.M. Graham, M. Hayden, and C. Roe On stress-state dependent plasticity modeling: Significance of the hydrostatic stress, the third invariant of stress deviator and the non-associated flow rule International Journal of Plasticity 27 2011 217 231
30. A. Ghahremaninezhad, and K. Ravi-Chandar Ductile failure in polycrystalline OFHC copper International Journal of Solids and Structures 48 2011 3299 3311
31. M. Gologanu, J.-B. Leblond, G. Perrin, and J. Devaux Theoretical models for void coalescence in porous ductile solids. I: Coalescence "in layers" International Journal of Solids and Structures 38 2001 5581 5594 (Pubitemid 32602504)
32. A.L. Gurson Continuum theory of ductile rupture by void nucleation and growth. Part I: Yield criteria and flow rules for porous ductile media Journal of Engineering Materials and Technology 99 1977 2 15
33. Y. Hammi, and M.F. Horstemeyer A physically motivated anisotropic tensorial representation of damage with separate functions for void nucleation, growth, and coalescence International Journal of Plasticity 23 2011 1641 1678 (Pubitemid 47212644)
34. X.H. Hu, M. Jain, D.S. Wilkinson, and R.K. Mishra Microstructure-based finite element analysis of strain localization behavior in AA5754 aluminum sheet Acta Materialia 56 2008 3187 3201
35. A.E. Huespe, A. Needleman, J. Oliver, and P.J. Sánchez A finite thickness band method for ductile fracture analysis International Journal of Plasticity 25 2009 2349 2365
36. A.P. Karafillis, and M.C. Boyce A general anisotropic yield criterion using bounds and a transformation weighting tensor Journal of the Mechanics and Physics of Solids 41 1993 1859 1886
37. S.M. Keralavarma, and A.A. Benzerga An approximate yield criterion for anisotropic porous media Comptes Rendus Mécanique 336 2008 685 692
38. S.M. Keralavarma, and A.A. Benzerga A constitutive model for plastically anisotropic solids with non-spherical voids Journal of the Mechanics and Physics of Solids 58 2010 874 901
39. J. Kim, X.S. Gao, and T.S. Srivatsan Modeling of void growth in ductile solids: effects of stress triaxiality and initial porosity Engineering Fracture Mechanics 71 2004 379 400 (Pubitemid 37332538)
40. J.B. Leblond, G. Perrin, and J. Devaux An improved Gurson-type model for hardenable ductile metals European Journal of Mechanics a-Solids 14 1995 499 527
41. L. Lecarme, C. Tekolu, and T. Pardoen Void growth and coalescence in ductile solids with stage III and stage IV strain hardening International Journal of Plasticity 27 2011 1203 1223
42. J. Lemaitre A continuous damage mechanics model for ductile fracture Journal of Engineering Materials and Technology - Transactions of the ASME 107 1985 83 89 (Pubitemid 15490348)
43. G. Leroy, J.D. Embury, G. Edward, and M.F. Ashby A model of ductile fracture based on the nucleation and growth of voids Acta Metallurgica 29 1981 1509 1522 (Pubitemid 12437721)
44. H. Li, M.W. Fu, J. Lu, and H. Yang Ductile fracture: experiments and computations International Journal of Plasticity 27 2011 147 180
45. Y. Li, and D.G. Karr Prediction of ductile fracture in tension by bifurcation, localization, and imperfection analyses International Journal of Plasticity 25 2009 1128 1153
46. Y. Li, and T. Wierzbicki Prediction of plane strain fracture of AHSS sheets with post-initiation softening International Journal of Solids and Structures 47 2010 2316 2327
47. Luo, M., Wierzbicki, T., 2009. Ductile fracture calibration and validation of anisotropic aluminum sheets. In: 2009 SEM Annual Conference and Exposition on Experimental and Applied Mechanics, Albuquerque, NM, pp. 402-413.
48. M. Luo, and T. Wierzbicki Numerical failure analysis of a stretch-bending test on dual-phase steel sheets using a phenomenological fracture model International Journal of Solids and Structures 47 2010 3084 3102
49. Z. Marciniak, and K. Kuczynski Limit strains in the processes of stretch-forming sheet metal International Journal of Mechanical Sciences 9 1967 609 612 IN601-IN602, 613-620
50. F.A. McClintock A criterion of ductile fracture by the growth of holes Journal of Applied Mechanics 35 1968 363 371
51. A. Menzel, and P. Steinmann A theoretical and computational framework for anisotropic continuum damage mechanics at large strains International Journal of Solids and Structures 38 2001 9505 9523 (Pubitemid 34021239)
52. Mohr, D., Henn, S., 2004. A New method for calibrating phenomenological crack formation criteria, Technical Report 113. Impact and Crashworthiness Laboratory, Massachusetts Institute of Technology.
53. D. Mohr, and S. Henn Calibration of stress-triaxiality dependent crack formation criteria: a new hybrid experimental-numerical method Experimental Mechanics 47 2007 805 820 (Pubitemid 350238463)
54. D. Mohr, and M. Oswald A new experimental technique for the multi-axial testing of advanced high strength steel sheets Experimental Mechanics 48 2008 65 77
55. V. Monchiet, O. Cazacu, E. Charkaluk, and D. Kondo Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids International Journal of Plasticity 24 2008 1158 1189 (Pubitemid 351626438)
56. T.F. Morgeneyer, J. Besson, H. Proudhon, M.J. Starink, and I. Sinclair Experimental and numerical analysis of toughness anisotropy in AA2139 Al-alloy sheet Acta Materialia 57 2009 3902 3915
57. T.F. Morgeneyer, M.J. Starink, and I. Sinclair Evolution of voids during ductile crack propagation in an aluminium alloy sheet toughness test studied by synchrotron radiation computed tomography Acta Materialia 56 2008 1671 1679
58. K. Nahshon, and J.W. Hutchinson Modification of the Gurson model for shear failure European Journal of Mechanics A - Solids 27 2008 1 17 (Pubitemid 350181489)
59. K.L. Nielsen, and V. Tvergaard Ductile shear failure or plug failure of spot welds modelled by modified Gurson model Engineering Fracture Mechanics 77 2010 1031 1047
60. S.I. Oh, C.C. Chen, and S. Kobayashi Ductile fracture in axisymmetric extrusion and drawing. 2: Workability in extrusion and drawing Journal of Engineering for Industry - Transactions of the ASME 101 1979 36 44
61. E. Orowan Fracture and strength of solids Reports on Progress in Physics 12 1949 185
62. T. Pardoen, and J.W. Hutchinson An extended model for void growth and coalescence Journal of the Mechanics and Physics of Solids 48 2000 2467 2512
63. T. Pardoen, and J.W. Hutchinson Micromechanics-based model for trends in toughness of ductile metals Acta Materialia 51 2003 133 148
64. J.R. Rice, and D.M. Tracey On the ductile enlargement of voids in triaxial stress fields Journal of the Mechanics and Physics of Solids 17 1969 201 217
65. F. Rivalin, J. Besson, A. Pineau, and M. Di Fant Ductile tearing of pipeline-steel wide plates: II. Modeling of in-plane crack propagation. Engineering Fracture Mechanics 68 2000 347 364
66. A. Simar, K.L. Nielsen, B. de Meester, V. Tvergaard, and T. Pardoen Micro-mechanical modelling of ductile failure in 6005A aluminium using a physics based strain hardening law including stage IV Engineering Fracture Mechanics 77 2010 2491 2503
67. K. Spencer, S. Corbin, and D. Lloyd The influence of iron content on the plane strain fracture behaviour of AA 5754 Al-Mg sheet alloys Materials Science and Engineering A 325 2002 394 404 (Pubitemid 34209654)
68. K. Spencer, S. Corbin, and D. Lloyd Notch fracture behaviour of 5754 automotive aluminium alloys Materials Science and Engineering A 332 2002 81 90 (Pubitemid 34735818)
69. D. Steglich, W. Brocks, J. Heerens, and T. Pardoen Anisotropic ductile fracture of Al 2024 alloys Engineering Fracture Mechanics 75 2008 3692 3706 (Pubitemid 351688323)
70. X. Sun, K.S. Choi, W.N. Liu, and M.A. Khaleel Predicting failure modes and ductility of dual phase steels using plastic strain localization International Journal of Plasticity 25 2009 1888 1909
71. V. Tvergaard, and A. Needleman Analysis of cup-cone fracture in a round tensile bar Acta Materialia 32 1984 157 169 (Pubitemid 14509228)
72. G.Z. Voyiadjis, and R.J. Dorgan Framework using functional forms of hardening internal state variables in modeling elasto-plastic-damage behavior International Journal of Plasticity 23 2007 1826 1859 (Pubitemid 47212648)
73. T.-J. Wang Unified CDM model and local criterion for ductile fracture - II. Ductile fracture local criterion based on the CDM model Engineering Fracture Mechanics 42 1992 185 193
74. Wilkins, M.L., Streit, R.D., Reaugh, J.E., 1980. Cumulative-strain-damage model of ductile fracture: simulation and prediction of engineering fracture tests, ucrl-53058. Technical report, Lawrence Livermore Laboratory, Livermore, California.
75. L. Xue Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading International Journal of Solids and Structures 44 2007 5163 5181 (Pubitemid 46498076)
76. L. Xue Ductile fracture modeling: theory, experimental investigation and numerical verification Massachusetts Institute of Technology 2007 228
77. L. Xue Constitutive modeling of void shearing effect in ductile fracture of porous materials Engineering Fracture Mechanics 75 2008 3343 3366 (Pubitemid 351486834)
78. A.A. Zadpoor, J. Sinke, and R. Benedictus Formability prediction of high strength aluminum sheets International Journal of Plasticity 25 2009 2269 2297
79. K.S. Zhang, J.B. Bai, and D. Francois Numerical analysis of the influence of the Lode parameter on void growth International Journal of Solids and Structures 38 2001 5847 5856 (Pubitemid 32602517)