Effects of the stress state on plasticity and ductile failure of an aluminum 5083 alloy

International Journal of Plasticity

Volumn 25, Issue 12, 2009, Pages 2366-2382

  Gao, Xiaosheng ^a   Zhang, Tingting ^a   Hayden, Matthew ^b   Roe, Charles ^b  

^a The University of Akron   (United States)

^b NAVAL SURFACE WARFARE CENTER   (United States)

Author keywords

Ductile failure; Hydrostatic stress; Lode angle; Plasticity; Third invariant J3

Indexed keywords

DUCTILE FAILURE; DUCTILE FAILURES; HYDROSTATIC STRESS; LODE ANGLE; MATERIAL MODELING; PLASTIC RESPONSE; PLASTICITY THEORY; STRESS STATE; STRUCTURAL RELIABILITY ASSESSMENT; THIRD INVARIANT J3;

ALUMINA; ALUMINUM; CERIUM ALLOYS; HYDRAULICS; HYDRODYNAMICS; PLASTICITY; RELIABILITY ANALYSIS; RELIABILITY THEORY;

DUCTILE FRACTURE;

EID: 70350116971     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2009.03.006     Document Type: Article

References (55)

1. ABAQUS/Standard User's Manual (Version 6.3), 2002. Hibbit, Karlsson and Sorensen Inc.
2. Bai Y., and Wierzbicki T. A new model of metal plasticity and fracture with pressure and Lode dependence. Int. J. Plast. 24 (2008) 1071-1096
3. Bao Y., and Wierzbicki T. On fracture locus in the equivalent strain and stress triaxiality space. Int. J. Mech. Sci. 46 (2004) 81-98
4. Bao Y. Dependence of ductile crack formation in tensile tests on stress triaxiality, stress and strain ratios. Eng. Fract. Mech. 72 (2005) 505-522
5. Bardet J. Lode dependences for isotropic pressure-sensitive elastoplastic materials. Trans. ASME, J. Appl. Mech. 57 (1990) 498-506
6. Barsoum I., and Faleskog J. Rupture in combined tension and shear: experiments. Int. J. Solids Struct. 44 (2007) 1768-1786
7. Barsoum I., and Faleskog J. Rupture in combined tension and shear: micromechanics. Int. J. Solids Struct. 44 (2007) 5481-5498
8. Bigoni, D., Piccolroza, A., 2003. A new yield function for geomaterials. In: Viggiani, C., (Ed.), Constitutive Modeling and Analysis of Boundary Value Problems in Geotechnical Engineering, Napoli, pp. 266-281.
9. Bridgman P.W. Studies in Large Plastic Flow and Fracture (1952), McGraw-Hill Inc
10. Brunig M. Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids. Int. J. Plast. 15 (1999) 1237-1264
11. Brunig M., Berger S., and Obrecht H. Numerical simulation of the localization behavior of hydrostatic-stress-sensitive metals. Int. J. Mech. Sci. 42 (2000) 2147-2166
12. Brunig M., Chyra O., Albrecht D., Driemeier L., and Alves M. A ductile damage criterion at various stress triaxialities. Int. J. Plast. 24 (2008) 1731-1755
13. Cazacu O., and Barlat F. Application of representation theory to describe yielding of anisotropic aluminum alloys. Int. J. Eng. Sci. 41 (2003) 1367-1385
14. Chaboche J.L. A review of some plasticity and viscoplasticity constitutive theories. Int. J. Plast. 24 (2008) 1642-1693
15. 2-containing ceramics: I. Shear and dilatation effects. J. Am. Ceram. Soc. 69 (1986) 181-189
16. Drucker D.C. Relations of experiments to mathematical theories of plasticity. Trans. ASME, J. Appl. Mech. 16 (1949) 349-357
17. Drucker D.C., and Prager W. Soil mechanics and plastic analysis of limit design. Quart. Appl. Math. 10 (1952) 157-165
18. Gao X., Faleskog J., Dodds R.H., and Shih C.F. Ductile tearing in part-through cracks - experiments and cell model predictions. Eng. Fract. Mech. 59 (1998) 761-777
19. Gao X., Wang T., and Kim J. On ductile fracture initiation toughness: effects of void volume fraction, void shape and void distribution. Int. J. Solids Struct. 42 (2005) 5097-5117
20. Gao X., and Kim J. Modeling of ductile fracture: significance of void coalescence. Int. J. Solids Struct. 43 (2006) 6277-6293
21. Gao, X., Zhang, G., Roe, C., 2009. A study on the effect of the stress state on ductile fracture. Int. J. Damage Mech., in press. doi:10.1177/1056789508101917.
22. Gologanu M., Leblond J.B., and Devaux J. Approximate models for ductile metals containing nonspherical voids - case of axisymmetric prolate ellipsoidal cavities. J. Mech. Phys. Solids 41 (1993) 1723-1754
23. Gologanu M., Leblond J.B., and Devaux J. Approximate models for ductile metals containing nonspherical voids - case of axisymmetric oblate ellipsoidal cavities. J. Eng. Mater. Tech. 116 (1994) 290-297
24. Gologanu M., Leblond J.B., Perrin G., and Devaux J. Recent extensions of Gurson's model for porous ductile metals. In: Suquet P. (Ed). Continuum Micromechanics (1995), Springer-Verlag
25. Guo T.F., Faleskog J., and Shih C.F. Continuum modeling of a porous solid with pressure-sensitive dilatant matrix. J. Mech. Phys. Solids 56 (2008) 2188-2212
26. Gurson A.L. Continuum of ductile rupture by void nucleation and growth: part I. Yield criteria and flow rules for porous ductile media. J. Eng. Mater. Tech. 99 (1977) 2-55
27. 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
28. Hancock J.W., and Brown D.K. On the role of strain and stress state in ductile failure. J. Mech. Phys. Solids 31 (1983) 1-24
29. Hu W., and Wang Z.R. Multiple-factor dependence of the yielding behavior to isotropic ductile materials. Comput. Mat. Sci. 32 (2005) 31-46
30. Johnson G.R., and Cook W.H. Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng. Fract. Mech. 21 (1985) 31-48
31. Kang J., Wilkinson D.S., Wu P.D., Bruhis M., Jain M., Embury J.D., and Mishra R.K. Constitutive behavior of AA5754 sheet materials at large strains. ASME, J. Eng. Mater. Technol. 130 1-5 (2008) 031004
32. Kim J., Gao X., and Srivatsan T.S. Modeling of crack growth in ductile solids: a three-dimensional analysis. Int. J. Solids Struct. 40 (2003) 7357-7374
33. Kim J., Gao X., and Srivatsan T.S. Modeling of void growth in ductile solids: effects of stress triaxiality and initial porosity. Eng. Frac. Mech. 71 (2004) 379-400
34. Kim J., and Gao X. A generalized approach to formulate the consistent tangent stiffness in plasticity with application to the GLD porous material model. Int. J. Solids Struct. 42 (2005) 103-122
35. Kim J., Zhang G., and Gao X. Modeling of ductile fracture: application of the mechanism-based concepts. Int. J. Solids Struct. 44 (2007) 1844-1862
36. Kuroda M. A phenomenological plasticity model accounting for hydrostatic stress-sensitivity and vertex-type of effect. Mech. Mater. 36 (2004) 285-297
37. Lindholm U.S., Nagy A., Johnson G.R., and Hoegfeldt J.M. Large strain, high strain rate testing of copper. J. Eng. Mater. Tech. 102 (1980) 376-381
38. Ludwik P., and Scheu R. Ueber Kerbwirkungen bei Flusseisen. Stahl u. Eisen 43 (1923) 999-1001
39. 22.5 bulk metallic glass. J. Mater. Res. 18 (2003) 2039-2048
40. Menetrey P., and Willam K. Triaxial failure criterion for concrete and its generalization. ACI Struct. J. 92 (1995) 311-318
41. Mirza M.S., Barton D.C., and Church P. The effect of stress triaxiality and strain rate on the fracture characteristics of ductile metals. J. Mater. Sci. 31 (1996) 453-461
42. Orowan E. Notch brittleness and the strength of metals. Trans. Inst. Eng. Shipbuilders Scot. 89 (1945) 165-215
43. Pardoen T., and Hutchinson J.W. An extended model for void growth and coalescence. J. Mech. Phys. Solids 48 (2000) 2467-2512
44. Pampillo C.A., and Davis L.A. Volume change during deformation and pressure dependence of yield stress. J. Appl. Phys. 42 (1971) 4674-4679
45. Soare S., Yoon J.W., Cazacu O., and barlat F. Applications of a recently proposed anisotropic yield function to sheet forming. In: Banabic D. (Ed). Applications of a Recently Proposed Anisotropic Yield Function to Sheet Forming (2007), Springer, Berlin, Heidelberg 131-149
46. 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
47. 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
48. Spitzig W.A., and Richmond O. Effect of hydrostatic pressure on the deformation behavior of polyethylene and polycarbonate in tension and in compression. Polym. Eng. Sci. 19 (1979) 1129-1139
49. Spitzig W.A., and Richmond O. The effect of pressure on the flow stress metals. Acta Metall. 32 (1984) 457-463
50. Subramanya H.Y., Viswanath S., and Narasimhan R. Influence of crack tip constraint on void growth in pressure sensitive plastic solids: I. 2D analysis. Eng. Fract. Mech. 75 (2008) 1045-1063
51. Tvergaard V., and Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 32 (1984) 157-169
52. Wierzbicki, T., Xue, L., 2005. On the effect of the third invariant of the stress deviator on ductile fracture. Technical Report, Impact and Crashworthiness Lab, MIT.
53. Wu H.-C. Continuum Mechanics and Plasticity (2004), Chapman & Hall/CRC
54. Xia L., Shih C.F., and Hutchinson J.W. Computational approach to ductile crack growth under large scale yielding conditions. J. Mech. Phys. Solids 43 (1995) 389-413
55. Yang Z., and Elgamal A. Multi-surface cyclic plasticity sand model with Lode angle effect. Geotech. Geol. Eng. 26 (2008) 335-348