Constitutive modeling of void shearing effect in ductile fracture of porous materials

Engineering Fracture Mechanics

Volumn 75, Issue 11, 2008, Pages 3343-3366

  Xue, Liang ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Ductile fracture; Gurson model; Lode angle dependence; Porous materials; Shear fracture

Indexed keywords

CONSTITUTIVE MODELS; PLASTIC DEFORMATION; POROUS MATERIALS; SHEAR BANDS; STRAIN; VOLUME FRACTION;

GURSON MODEL; SHEAR FRACTURE; VOID SHEARING EFFECT;

DUCTILE FRACTURE;

CONSTITUTIVE MODELS; DUCTILE FRACTURE; PLASTIC DEFORMATION; POROUS MATERIALS; SHEAR BANDS; STRAIN; VOLUME FRACTION;

EID: 41749121486     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2007.07.022     Document Type: Article

References (46)

1. Tvergaard V., and Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall 32 1 (1984) 157-169
2. McClintock F.A., Kaplan S.M., and Berg C.A. Ductile fracture by hole growth in shear bands. Int J Fract Mech 2 4 (1966) 614-627
3. Johnson G.R., Hoegfeldt J.M., Lindholm U.S., and Nagy A. Response of various metals to large torsional strains over a large range of strain rates. Part 2. Less ductile metals. J Engng Mater Technol Trans ASME 105 (1983) 48-55
4. Wilkins ML, Streit RD, Reaugh JE. Cumulative-strain-damage model of ductile fracture: simulation and prediction of engineering fracture tests. Technical Report UCRL-53058, Lawrence Livermore National Laboratory, October 1980.
5. Xue L. Damage accumulation and fracture initiation of uncracked ductile solids subjected to triaxial loading. Int J Solids Struct 44 (2007) 5163-5181
6. McClintock F.A. A criterion for ductile fracture by growth of holes. J Appl Mech Trans ASME 35 (1968) 363-371
7. Rice J.R., and Tracey D.M. On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids 17 (1969) 201-217
8. Hancock J.W., and Mackenzie A.C. On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. J Mechan Phys Solids 24 2-3 (1976) 147-160
9. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth. Part I. Yield critetria and flow rules for porous ductile media. J Engng Mater Technol Trans ASME 99 (1977) 2-15
10. Berg CA. The motion of cracks in plane viscous deformation. In: Proceedings of the fourth U.S. national congress of applied mechanics, vol. 2. Berkeley, CA; 1962.
11. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17 (1981) 389-407
12. Chu C.C., and Needleman A. Void nucleation effects in biaxially stretched sheets. J Engng Mater Technol 102 (1980) 249-256
13. Koplik J., and Needleman A. Void growth and coalescence in porous plastic solids. Int J Solids Struct 24 (1988) 835-853
14. Thomason P.F. Ductile fracture of metals (1990), Pergamon Press, Oxford
15. Perrin G., and Leblond J.B. Accelerated void growth in porous ductile solids containing two populations of cavities. Int J Plast 16 1 (2000) 91-120
16. Benzerga A.A. Micromechanics of coalescence in ductile fracture. J Mechan Phys Solids 50 (2002) 1331-1362
17. Ragab A.R. Application of an extended void growth model with strain hardening and void shape evolution to ductile fracture under axisymmetric tension. Engng Fract Mechan 71 11 (2004) 1515-1534
18. Yee K.C., and Mear M.E. Effect of void shape on the macroscopic response of non-linear porous solids. Int J Plast 12 1 (1996) 45-68
19. Gologanu M., Leblond J.B., and Devaux J. Approximate models for ductile metals containing non-spherical voids-case of axisymmetric prolate ellipsoidal cavities. J Mech Phys Solids 41 11 (1993) 1723-1754
20. Pardoen T., and Hutchinson J.W. An extended model for void growth and coalescence. J Mech Phys Solids 48 12 (2000) 2467-2512
21. Benzerga A.A., Besson J., Batisse R., and Pineau A. Synergistic effects of plastic anisotropy and void coalescence on fracture mode in plane strain. Model Simul Mater Sci Engng 10 (2002) 73-102
22. Benzerga A.A., Besson J., and Pineau A. Anisotropic ductile fracture. Part II. Theory. Acta Mater 52 15 (2004) 4639-4650
23. Aravas N. On the numerical integration of a class of pressure-dependent plasticity models. Int J Numer Meth Engng 24 (1987) 1395-1416
24. Simonsen B.C., and Li S. Mesh-free simulation of ductile fracture. Int J Numer Meth Engng 60 (2004) 1425-1450
25. Tvergaard V. Influence of void nucleation on ductile shear fracture at a free surface. J Mech Phys Solids 30 6 (1982) 399-425
26. Nahshon K, Hutchinson JW. Modification of the Gurson model for shear failure. Euro J Mech/A: Solids, in press.
27. Brown LM, Embury JD. The initiation and growth of voids at second phase particles. In: Proceedings of the third international conference of the strength of metals and alloys, vol. 1, pp. 164-169, Cambridge, UK; pp. 20-25, August 1973.
28. Le Roy G., Embury J., Edwards G., and Ashby M.F. A model of ductile fracture based on the nucleation and growth of voids. Acta Metall 29 (1981) 1509-1522
29. Weck A., Wilkinson D.S., Toda H., and Maire E. Second and third visualization of ductile fracture. Adv Engng Mater 8 6 (2006) 469-472
30. McClintock F.A. Plasticity aspects of fracture. Fracture an advanced treatise vol. III (1971), Academic Press, New York and London pp. 47-307, [chapter 2]
31. McClintock F.A. Local criteria for ductile fracture. Int J Fract Mechan 4 2 (1968) 101-130
32. Zhang Z.L. A complete Gurson model. In: Aliabadi M.H. (Ed). Nonlinear Fracture and Damage Mechanics (2001), WIT Press, Southampton 223-248
33. Brocks W., Sun D.Z., and Hönig A. Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials. Int J Plast 11 8 (1995) 971-989
34. von Lode W. Versuche über den einfluβ der mittleren hauptspannug auf die flieβgrenze. Zeitschrift für Angewandte Mathematik und Mechanik 5 2 (1925) 142-144
35. Fleck N.A., Hutchinson J.W., and Tvergaard V. Softening by void nucleation and growth in tension and shear. J Mechan Phys Solids 37 4 (1989) 515-540
36. Siruguet K., and Leblond J.B. Effect of void locking by inclusions upon the plastic behavior of porous ductile solids - I: Theoretical modeling and numerical study of void growth. Int J Plast 20 (2004) 255-268
37. Ragab A.R. A model for ductile fracture based on internal necking of spheroidal voids. Acta Mater 52 (2004) 3997-4009
38. Worswick M.J., and Pelletier P. Numerical simulation of ductile fracture during high strain rate deformation. Eur Phys J AP 4 (1998) 257-267
39. Besson J., Steglich D., and Brocks W. Modeling of crack growth in round bars and plane strain specimens. Int J Solids Struct 38 46-47 (2001) 8259-8284
40. Speich G.R., and Spitzig W.A. Effect of volume fraction and shape of sulfide inclusions on through-thickness ductility and impact energy of high-strength 4340 plate steels. Metall Trans A 13A (1982) 22392257
41. Bluhm JI, Morrissey RJ. Fracture in a tensile specimen. In: Proceedings of the first international conference on fracture, vol. 3. Sendai, Japanese Society; 1966. p. 1739-80.
42. Rogers H.C. Tensile fracture of ductile metals. Trans Metall Soc AIME 218 (1960) 498-506
43. Besson J., Steglich D., and Brocks W. Modeling of plane strain ductile rupture. Int J Plast 19 (2003) 1517-1541
44. Xue L. Ductile fracture modeling - theory, experimental investigation and numerical verification. Ph.D. thesis., Massachusetts Institute of Technology; June 2007.
45. Hancock J.W., and Brown D.K. On the role of stress and strain state in ductile failure. J Mech Phys Solids 31 1 (1983) 1-24
46. Clausing D.P. Effect of plastic strain state on ductility and toughness. Int J Fract Mech 6 1 (1970) 71-85