A ductile damage criterion at various stress triaxialities

International Journal of Plasticity

Volumn 24, Issue 10, 2008, Pages 1731-1755

  Brünig, Michael ^a   Chyra, Oliver ^a   Albrecht, Daniel ^a   Driemeier, Larissa ^b   Alves, Marcílio ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Anisotropic damage; Damage criterion; Experiments; Numerical simulations; Stress triaxialities

Indexed keywords

ADDITION REACTIONS; COMPUTER SIMULATION; CONTINUUM MECHANICS; EXPERIMENTS; KETONES; LAWS AND LEGISLATION; MODULAR CONSTRUCTION; NUMERICAL ANALYSIS; PLASTICS; STRAIN RATE; TESTING;

(ABIOTIC AND BIOTIC) STRESS; CONTINUUM DAMAGE MODEL; DAMAGE CRITERION; DAMAGE MODES; DAMAGE TENSORS; DUCTILE DAMAGE; DUCTILE METALS; ELASTIC MATERIALS; ELSEVIER (CO); EVOLUTION OF DAMAGE; FLOW RULES; FREE ENERGY FUNCTIONS; LODE PARAMETER; MACROSCOPIC YIELD; MATERIAL PARAMETERS; MODULAR STRUCTURES; NUMERICA L RESULTS; NUMERICAL DATA; NUMERICAL SIMULATIONS; PLASTIC BEHAVIOR; SHEAR TESTING; STRESS SPACE; STRESS TRIAXIALITY; WIDE-RANGE;

PLASTIC PARTS;

EID: 47049113742     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.12.001     Document Type: Article

References (66)

1. Alves M., Yu J., and Jones N. On the elastic modulus degradation in continuum damage mechanics. Comp. Struct. 76 (2000) 703-712
2. Alves M. Measurement of ductile material damage. Mech. Struct. Mach. 29 (2001) 451-476
3. Alves M., and Jones N. Influence of hydrostatic stress on failure of axisymmetric notched specimens. J. Mech. Phys. Solids 47 (1999) 643-667
4. Alves M., and Jones N. Failure of beams using damage mechanics: Part I. Theory. Int. J. Impact Eng. 27 (2002) 837-861
5. Bao Y., and Wierzbicki T. On fracture locus in the equivalent strain and stress triaxiality space. Int. J. Mech. Sci. 46 (2004) 81-98
6. Bao Y., and Wierzbicki T. On the cut-off value of negative triaxiality for fracture. Eng. Fract. Mech. 72 (2005) 1049-1069
7. Baste S., and Audoin B. On internal variables in anisotropic damage. Eur. J. Mech. A/Solids 10 (1991) 587-606
8. Becker R., Needleman A., Richmond O., and Tvergaard V. Void growth and failure in notched bars. J. Mech. Phys. Solids 36 (1988) 317-351
9. Benzerga A.A., Besson J., and Pineau A. Anisotropic ductile fracture. Part I: experiments. Acta Mater. 52 (2004) 4623-4638
10. Bonora N., Gentile D., Pirondi A., and Newaz G. Ductile damage evolution under triaxial state of stress: theory and experiments. Int. J. Plasticity 21 (2005) 981-1007
11. Bonora N., Ruggiero A., Esposito L., and Gentile D. CDM modeling of ductile failure in ferritic steels: assessment of the geometry transferability of model parameters. Int. J. Plasticity 22 (2006) 2015-2047
12. Børvik T., Hopperstad O.S., and Berstad T. On the influence of stress triaxiality and strain rate on the behaviour of a structural steel. Part II. Numerical study. Eur. J. Mech. A/Solids 22 (2003) 15-32
13. Børvik T., Hopperstad O.S., Dey S., Pizzinato E.V., Langseth M., and Albertini C. Strength and ductility of Weldox 460 E steel at high strain rates, elevated temperatures and various stress triaxialities. Eng. Fract. Mech. 72 (2005) 1071-1087
14. Brownrigg A., Spitzig W.A., Richmond O., Teirlinck D., and Embury J.D. The influence of hydrostatic pressure on the flow stress and ductility of a spherodized 1045 steel. Acta Metall. 31 (1983) 1141-1150
15. Brünig M. Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids. Int. J. Plasticity 15 (1999) 1237-1264
16. Brünig M. A framework for large strain elastic-plastic damage mechanics based on metric transformations. Int. J. Eng. Sci. 39 (2001) 1033-1056
17. Brünig M. An anisotropic ductile damage model based on irreversible thermodynamics. Int. J. Plasticity 19 (2003) 1679-1713
18. Brünig M. Numerical analysis of anisotropic ductile continuum damage. Comput. Meth. Appl. Mech. Eng. 192 (2003) 2949-2976
19. Brünig M. An anisotropic continuum damage model: theory and numerical analyses. Lat. Am. J. Solids Struct. 1 (2004) 185-218. www.lajss.org
20. Brünig, M., Alves, M., 2005. Experiments and numerical analysis of anisotropically damaged elastic-plastic solids. In: Owen, D.R.J., Oñate, E., Suárez, B. (Eds.), Computational Plasticity VIII, CIMNE, Barcelona, pp. 873-876.
21. Brünig M., and Driemeier L. Numerical simulation of Taylor impact tests. Int. J. Plasticity 23 (2007) 1979-2003
22. Bruhns O.T., and Schiesse P. A continuum model of elastic-plastic materials with anisotropic damage by oriented microvoids. Eur. J. Mech. A/Solids 15 (1996) 367-396
23. Celentano D.J., and Chaboche J.L. Experimental and numerical characterization of damage evolution in steels. Int. J. Plasticity 23 (2007) 1739-1762
24. Chaboche J.L. Continuum damage mechanics: a tool to describe phenomena before crack initiation. Nucl. Eng. Des. 64 (1981) 233-247
25. Chaboche J.L. Anisotropic creep damage in the framework of continuum damage mechanics. Nucl. Eng. Des. 79 (1984) 309-319
26. Chaboche J.L. Continuum damage mechanics: Part I - general concepts. J. Appl. Mech. 55 (1988) 59-64
27. Chaboche J.L. Continuum damage mechanics: Part II - damage growth, crack initiation, and crack growth. J. Appl. Mech. 55 (1988) 65-72
28. Chaboche J.L. Damage mechanics. In: Milne I., Ritchie R.O., and Karihaloo B. (Eds). Comprehensive Structural Integrity vol. 2 (2003), Elsevier-Pergamon 213-284
29. Chaboche J.L., Boudifa M., and Saanouni K. A CDM approach of ductile damage with plastic incompressibility. Int. J. Fract. 137 (2006) 51-75
30. Chow C.L., and Wang J. An anisotropic theory of continuum damage mechanics for ductile fracture. Eng. Fract. Mech. 27 (1987) 547-558
31. Chow C.L., and Wang J. A finite element analysis of continuum damage mechanics for ductile fracture. Int. J. Fract. 38 (1988) 83-102
32. Cordebois J.P., and Sidoroff F. Endommagement anisotrope en élasticité et plasticité. J. Méch. Théor. Appl. (Num. Spécial) (1982) 45-60
33. Hancock J.W., and Mackenzie A.C. On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. J. Mech. Phys. Solids 24 (1976) 147-169
34. Hayakawa K., Murakami S., and Liu Y. An irreversible thermodynamics theory for elastic-plastic-damage materials. Eur. J. Mech. A/Solids 17 (1998) 13-32
35. Hopperstad O.S., Børvik T., Langseth M., Labibes K., and Albertini C. On the influence of stress triaxiality and strain rate on the behaviour of a structural steel. Part I. Experiments. Eur. J. Mech. A/Solids 22 (2003) 1-13
36. Horstemeyer M.F., Gall K., Dolan K.W., Waters A., Haskins J.J., Perkins D.E., Gokhale A.M., and Dighe M.D. Numerical, experimental, nondestructive, and image analyses of damage progression in cast A356 aluminum notch tensile bars. Theor. Appl. Fract. Mech. 39 (2003) 23-45
37. Jain M., Allin J., and Lloyd D.J. Fracture limit prediction using ductile fracture criteria for forming of an automotive aluminum sheet. Int. J. Mech. Sci. 41 (1999) 1273-1288
38. Ju J.W. Isotropic and anisotropic damage variables in continuum damage mechanics. J. Eng. Mech. 116 (1990) 2764-2770
39. Kachanov M. Continuum model of medium with cracks. J. Eng. Mech. Div. 106 (1980) 1039-1051
40. Krajcinovic D. Damage mechanics. Mech. Mater. 8 (1989) 117-197
41. Lehmann Th. Some thermodynamical considerations on inelastic deformations including damage processes. Acta Mech. 79 (1989) 1-24
42. Lehmann Th. Thermodynamical foundations of large inelastic deformations of solid bodies including damage. Int. J. Plasticity 7 (1991) 79-98
43. Lemaitre J. A continuous damage mechanics model for ductile fracture. J. Eng. Mater. Technol. 107 (1985) 83-89
44. Lemaitre J. Coupled elasto-plasticity and damage constitutive equations. Comp. Meth. Appl. Mech. Eng. 51 (1985) 31-49
45. Lemaitre J. Local approach of fracture. Eng. Fract. Mech. 25 (1986) 523-537
46. Lemaitre J. A Course on Damage Mechanics. second ed. (1996), Springer, Berlin
47. Lemaitre J., and Dufailly J. Damage measurements. Eng. Fract. Mech. 28 (1987) 643-661
48. Lu T.J., and Chow C.L. On constitutive equations of inelastic solids with anisotropic damage. Theor. Appl. Fract. Mech. 14 (1990) 187-218
49. Mackenzie A.C., Hancock J.W., and Brown D.K. On the influence of state of stress on ductile failure initiation in high strength steels. Eng. Fract. Mech. 9 (1977) 167-188
50. Menzel A., Ekh M., Runesson K., and Steinmann P. A framework for multiplicative elastoplasticity with kinematic hardening coupled to anisotropic damage. Int. J. Plasticity 21 (2005) 397-434
51. Mirone G. Role of stress triaxiality in elastoplastic characterization and ductile failure prediction. Eng. Fract. Mech. 74 (2007) 1203-1221
52. Murakami S., and Ohno N. A continuum theory of creep and creep damage. In: Ponter A.R.S., and Hayhurst D.R. (Eds). Creep in Structures (1981), Springer-Verlag, Berlin 22-443
53. Oh C.K., Kim Y.J., Park J.M., Baek J.H., and Kim W.S. Development of stress-modified fracture strain for ductile failure of API X65 steel. Int. J. Fract. 143 (2007) 119-133
54. Oh C.K., Kim Y.J., Baek J.H., Kim Y.P., and Kim W.S. Ductile failure analysis of API X65 pipes with notch-type defects using a local fracture criterion. Int. J. Press. Vess. Piping 84 (2007) 512-525
55. Pardoen T. Numerical simulation of low stress triaxiality ductile failure. Comput. Struct. 84 (2006) 1641-1650
56. Rousselier G. Ductile fracture models and their potential in local approach of fracture. Nucl. Eng. Des. 105 (1987) 97-111
57. Spitzig W.A., and Richmond O. The effect of pressure on the flow stress of metals. Acta Metall. 32 (1984) 457-463
58. Spitzig W.A., Smelser R.E., and Richmond O. The evolution of damage and fracture in iron compacts with various initial porosities. Acta Metall. 36 (1988) 1201-1211
59. Spitzig W.A., Sober R.J., and Richmond O. Pressure dependence of yielding and associated volume expansion in tempered martensite. Acta Metall. 23 (1975) 885-893
60. Spitzig W.A., Sober R.J., and Richmond O. The effect of hydrostatic pressure on the deformation behavior of maraging and HY-80 steels and its implications for plasticity theory. Metall. Trans. 7A (1976) 1703-1710
61. Steinmann P., and Carol I. A framework for geometrically nonlinear continuum damage mechanics. Int. J. Eng. Sci. 36 (1998) 1793-1814
62. Tai W.H., and Yang B.X. A new microvoid-damage model for ductile fracture. Eng. Fract. Mech. 25 (1986) 377-384
63. Thomson R.D., and Hancock J.W. Ductile failure by void nucleation, growth and coalescence. Int. J. Fract. 26 (1984) 99-112
64. Tvergaard V. Material failure by void growth to coalescence. Adv. Appl. Mech. 27 (1990) 83-151
65. Voyiadjis G.Z., and Kattan P.I. A plasticity-damage theory for large deformation of solids - I. Theoretical formulation. Int. J. Eng. Sci. 30 (1992) 1089-1108
66. Voyiadjis G.Z., and Kattan P.I. Advances in Damage Mechanics: Metals and Metal Matrix Composites (1999), Elsevier, Amsterdam