A new model of metal plasticity and fracture with pressure and Lode dependence

International Journal of Plasticity

Volumn 24, Issue 6, 2008, Pages 1071-1096

  Bai, Yuanli ^a   Wierzbicki, Tomasz ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Calibration method; Fracture locus; Lode dependence; Pressure effect; Yield surface

Indexed keywords

ALUMINUM; HYDROSTATIC PRESSURE; PLASTICITY; PRESSURE EFFECTS; STRAIN HARDENING;

CALIBRATION METHOD; FRACTURE LOCUS; LODE DEPENDENCE; YIELD SURFACE;

METALS;

EID: 40849126618     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.09.004     Document Type: Article

References (53)

1. Bai Y., Bao Y., and Wierzbicki T. Fracture of prismatic aluminum tubes under reverse straining. International Journal of Impact Engineering 32 5 (2006) 671-701
2. Bai, Y., Teng, X., Wierzbicki, T., 2006b. Study on the effect of the third stress invariant on ductile fracture, report 151. Technical report, Impact and Crashworthiness Laboratory, Massachusetts Institute of Technology, Cambridge, MA.
3. Bao, Y., 2003. Prediction of ductile crack formation in uncracked bodies. PhD Thesis, Massachusetts Institute of Technology.
4. Bao Y., and Wierzbicki T. On fracture locus in the equivalent strain and stress triaxiality space. International Journal of Mechanical Sciences 46 1 (2004) 81-98
5. Bao, Y., Bai, Y., Wierzbicki, T., 2004. Calibration of a710 steel for fracture, report 135. Technical report, Impact and Crashworthiness Laboratory, Massachusetts Institute of Technology, Cambridge, MA.
6. Bardet J. Lode dependences for isotropic pressure-sensitive elastoplastic materials. Journal of Applied Mechanics, Transactions ASME 57 3 (1990) 498-506 ISSN: 0021-8936
7. Barlat F., Lege D.J., and Brem J.C. A six-component yield function for anisotropic materials. International Journal of Plasticity 7 7 (1991) 693-712
8. Barlat F., Becker R.C., Hayashida Y., Maeda Y., Yanagawa M., Chung K., Brem J.C., Lege D.J., Matsui K., Murtha S.J., and Hattori S. Yielding description for solution strengthened aluminum alloys. International Journal of Plasticity 13 4 (1997) 385-401
9. Barlat F., Aretz H., Yoon J., Karabin M., Brem J., and Dick R. Linear transformation-based anisotropic yield functions. International Journal of Plasticity 21 5 (2005) 1009-1039
10. Bigoni, D., Piccolroza, A., 2003. A new yield function for geomaterials. In: C. Viggiani (Ed.), Constitutive Modeling and Analysis of Boundary Value Problems in Geotechnical Engineering, Napoli, pp. 266-281.
11. Bridgman P.W. Studies in Large Plastic Flow and Fracture (1952), McGraw-Hill, New York
12. 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 Metallurgica 31 8 (1983) 1141-1150
13. Brünig M. Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids. International Journal of Plasticity 15 11 (1999) 1237-1264
14. Cazacu O., and Barlat F. A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. International Journal of Plasticity 20 11 (2004) 2027-2045
15. Cazacu O., Plunkett B., and Barlat F. Orthotropic yield criterion for hexagonal closed packed metals. International Journal of Plasticity 22 7 (2006) 1171-1194
16. Drucker D., and Prager W. Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics 10 (1952) 157-165
17. El-Magd E., Gese H., Tham R., Hooputra H., and Werner H. Fracture criteria for automobile crashworthiness simulation of wrought aluminium alloy components. Materialwissenschaft und Werkstofftechnik 32 (2001) 712-724
18. Fossum A., and Brannon R. On a viscoplastic model for rocks with mechanism-dependent characteristic times. Acta Geotechnica 1 (2006) 89-106
19. Gao X., and Kim J. Modeling of ductile fracture: significance of void coalescence. International Journal of Solids and Structures 43 (2006) 6277-6293
20. Gurson, A.L., 1975. Plastic flow and fracture behavior of ductile materials incorporating void nucleation, growth and interaction. PhD Thesis, Brown University.
21. Han D.J., and Chen W.F. A nonuniform hardening plasticity model for concrete materials. Mechanics of Materials 4 3-4 (1985) 283-302
22. Hancock J.W., and Brown D.K. On the role of strain and stress state in ductile failure. Journal of the Mechanics and Physics of Solids 31 1 (1983) 1-24
23. Hancock J.W., and Mackenzie A.C. On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. Journal of the Mechanics and Physics of Solids 24 2-3 (1976) 147-160
24. Hosford W.F. A generalized isotropic yield criterion. Journal of Applied Mechanics 39 (1972) 607
25. Johnson G.R., and Cook W.H. Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Engineering Fracture Mechanics 21 1 (1985) 31-48
26. Kamoulakos, A., Culiere, P., Araki, T., 2003. Prediction of ductile metal rupture with the e-w model in pam-crash. In: IBEC 2003 Chiba, Japan.
27. Karafillis A.P., and Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. Journal of the Mechanics and Physics of Solids 41 12 (1993) 1859-1886
28. Karr D.G., Law F.P., Fatt M.H., and Cox G.F.N. Asymptotic and quadratic failure criteria for anisotropic materials. International Journal of Plasticity 5 4 (1989) 303-336
29. Khan A.S., and Jackson K.M. On the evolution of isotropic and kinematic hardening with finite plastic deformation. Part I: compression/tension loading of OFHC copper cylinders. International Journal of Plasticity 15 12 (1999) 1265-1275
30. Kuroda M. A phenomenological plasticity model accounting for hydrostatic stress-sensitivity and vertex-type of effect. Mechanics of Materials 36 3 (2004) 285-297
31. 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. Engineering Fracture Mechanics 9 1 (1977) 167-168
32. Malvern L.E. Introduction to the Mechanics of a Continuous Medium (1969), Prentice-Hall, Inc.
33. McClintock F.A. A criterion of ductile fracture by the growth of holes. Journal of Applied Mechanics 35 (1968) 363-371
34. Menetrey P., and Willam K. Triaxial failure criterion for concrete and its generalization. ACI Structural Journal 92 (1995) 311-318
35. Mises R.V. Mechanik der festem Koerper im plastisch deformablem Zustand, Goettingen Nachrichten. Math. Phys. Klasse 4 (1913) 582-592
36. Mohr D., and Doyoyo M. Experimental investigation on the plasticity of hexagonal aluminum honeycomb under multiaxial loading. Journal of Applied Mechanics 3 (2004) 375-385
37. Mohr, D., Henn, S., 2004. A New Method for Calibrating Phenomenological Crack Formation Criteria, report 113. Technical report, Impact and Crashworthiness Laboratory, Massachusetts Institute of Technology, Cambridge, MA.
38. Mohr, D., Henn, S., in press. Calibration of stress-triaxiality dependent crack formation criteria: a new hybrid experimental-numerical method. Experimental Mechanics, doi:10.1007/s11340-007-9039-7.
39. Needleman A., and Tvergaard V. An analysis of ductile rupture in notched bars. Journal of the Mechanics and Physics of Solids 32 6 (1984) 461-490
40. Racherla V., and Bassani J. Strain burst phenomena in the necking of a sheet that deforms by non-associated plastic flow. Modelling and Simulation in Materials Science and Engineering 15 (2007) S297-S311
41. Rice J.R., and Tracey D.M. On the ductile enlargement of voids in triaxial stress fields. Journal of the Mechanics and Physics of Solids 17 (1969) 201-217
42. Richmond O., and Spitzig W.A. Pressure dependence and dilatancy of plastic flow. Theoretical and Applied Mechanics, Proceedings of the 15th International Congress of Theoretical and Applied Mechanics, Toronto, Ont., Canada (1980), North-Holland Publ. Co., Amsterdam, The Netherlands 377-386
43. Spitzig W.A., and Richmond O. The effect of pressure on the flow stress of metals. Acta Metallurgica 32 3 (1984) 457-463
44. Tresca H. Comptes Rendus de l Academie Des Sciences Serie 59 (1864) 754
45. Vegter H., and van den Boogaard A. A plane stress yield function for anisotropic sheet material by interpolation of biaxial stress states. International Journal of Plasticity 22 3 (2006) 557-580
46. Wierzbicki, T., Xue, L., 2005. On the effect of the third invariant of the stress deviator on ductile fracture. Technical report, Impact and Crashworthiness Laboratory, Massachusetts Institute of Technology, Cambridge, MA.
47. Wierzbicki, T., Bao, Y., Bai, Y., 2005a. A new experimental technique for constructing a fracture envelope of metals under multi-axial loading. In: Proceedings of the 2005 SEM Annual Conference and Exposition on Experimental and Applied Mechanics, pp. 1295-1303.
48. Wierzbicki T., Bao Y., Lee Y.-W., and Bai Y. Calibration and evaluation of seven fracture models. International Journal of Mechanical Sciences 47 4-5 (2005) 719-743
49. 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, CA.
50. Wilson C.D. A critical reexamination of classical metal plasticity. Journal of Applied Mechanics, Transactions ASME 69 1 (2002) 63-68 ISSN: 0021-8936
51. Xu B., and Liu X. Applied Mechanics: Elasticity and Plasticity (1995), Tsinghua University Press, Beijing, China
52. Xue L. Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading. International Journal of Solids and Structures 44 16 (2007) 5163-5181
53. Zhang K.S., Bai J.B., and Francois D. Numerical analysis of the influence of the lode parameter on void growth. International Journal of Solids and Structures 38 32-33 (2001) 5847-5856