Damage mechanics incorporating two back stress kinematic hardening constitutive models

Engineering Fracture Mechanics

Volumn 74, Issue 17, 2007, Pages 2844-2863

  Yun, S ^a   Palazotto, A ^b  

^a Agency for Defence Development   (South Korea)

^b AIR FORCE INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Damage; Finite deformation; Kinematic hardening; Two back stress

Indexed keywords

FINITE DIFFERENCE METHOD; HARDENING; KINEMATICS; PLASTIC DEFORMATION; PLASTICITY; SHEAR BANDS; TENSILE TESTING; VISCOPLASTICITY;

DAMAGE MECHANICS; LINEAR PHILLIPS RULE; NONLINEAR ARMSTRONG-FREDERICK RULE;

STEEL;

FINITE DIFFERENCE METHOD; HARDENING; KINEMATICS; PLASTIC DEFORMATION; PLASTICITY; SHEAR BANDS; STEEL; TENSILE TESTING; VISCOPLASTICITY;

EID: 34548220540     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.12.032     Document Type: Article

References (33)

1. Szmerekovsky A.G., Palazotto A., and Baker W.P. Scaling numerical models for hypervelocity test sled slipper-rail impacts. Int J Impact Engng 32 6 (2006) 928-946
2. Laird D., and Palazotto A. Gouge development during hypervelocity sliding impact. Int J Impact Engng 30 2 (2004) 205-223
3. Cinnamon JD, Palazotto AN. Refinement of a hypervelocity model for the rocket sled test, In: Proceedings of the 2005 ASME international mechanical engineering congress and exposition, IMECE2005-80004, Orlando, FL, 5-11 November, 2005.
4. Cinnamon JD, Palazotto AN. Metallographic examination of thermal effects in hypervelocity gouging, In: Proceedings of the 2005 ASME pressure vessel and piping conference, ASME Paper PVP2005-71613, Denver, CO, 17-21 July, 2005.
5. Aifantis E.C. The physics of plastic deformation. Int J Plasticity 3 3 (1987) 211-247
6. Zbib H.M., and Aifantis E.C. On the localization and post-localization behavior of plastic deformation I on the initiation of shear bands. Res Mech 23 (1988) 261-277
7. Abu Al-Rub R.K., and Voyiadjis G.Z. On the coupling of anisotropic damage and plasticity models for ductile materials. Int J Solids Struct 40 11 (2003) 2611-2643
8. Voyiadjis G.Z., Abu Al-Rub R.K., and Palazotto A. Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory. Int J Plasticity 20 6 (2004) 981-1038
9. Paulun J.E., and Pecherski R.B. On the relation for plastic spin. Arch Appl Mech 62 (1992) 376-385
10. Ning J., and Aifantis E.C. On anisotropic finite deformation plasticity Part II. A two-component model. Acta Mech 106 (1994) 73-85
11. Kuroda M. Plastic spin associated with a corner theory of plasticity. Int J Plasticity 11 5 (1995) 547-570
12. Lee E.H. Finite deformation effects in plasticity analysis. In: Pittman J.F., Zienkiewicz O.C., Wood R.D., and Alexander J.M. (Eds). Numerical analysis of forming processes (1984), John Wiley and Sons Ltd. 373-391
13. Dafalias YF. A missing link in the macroscopic constitutive formulation of large plastic deformation, plasticity today, modeling, methods and application, In: Proceedings of international symposium on current trends and results in plasticity, CISM, Udine Italy, 1982, pp. 135-151.
14. Dafalias Y.F. Corotational rates for kinematic hardening at large plastic deformation. J Appl Mech 50 (1983) 561-565
15. Dafalias Y.F. The plastic spin. J Appl Mech 52 (1985) 865-871
16. Dienes J.K. On the analysis of rotation and stress rate in deforming bodies. Acta Mech 32 (1979) 217-232
17. Paulun J.E., and Pecherski R.B. On the application of the plastic spin concept for the description of anisotropic hardening in finite deformation plasticity. Int J Plasticity 3 4 (1987) 303-314
18. Bonora N. A Nonlinear CDM Model for Ductile Fialure. Engng Fract Mech 58 1/2 (1997) 11-28
19. Voyiadjis G.Z., and Park T. Kinematics description of damage for finite strain plasticity. Int J Engng Sci 56 4 (1999) 483-511
20. Bonora N., and Newaz G.M. Low Cycle fatigue life estimation for ductile metals using a nonlinear continuum damage mechanics model. Int J Solids Struct 35 16 (1998) 1881-1894
21. Bonora N., and Milella P.P. Constitutive modeling for ductile metals behavior incorporating strain rate, temperature and damage mechanics. Int J Impact Engng 26 (2001) 53-64
22. Mroz Z., Shrivastava H.P., and Dubey R.N. A non-linear hardening model and its application to cyclic loading. Acta Mech 25 (1976) 51-61
23. Chaboche J.L. Time-independent constitutive theories for cyclic plasticity. Int J Plasticity 2 2 (1986) 149-188
24. Phillips A., Tang J.L., and Ricciuti M. Some new observation on yield surfaces. Acta Mech 20 (1974) 23-39
25. Phillips A., and Lee C.W. Yield surfaces and loading surfaces experiments and recommendations. Int J Solids Struct 15 9 (1979) 715-729
26. Shi M.F., Gerdeen J.C., and Aifantis E.C. On finite deformation plasticity with directional softening Part II. Two-component model. Acta Mech 101 (1993) 69-80
27. Khan A., and Huang S. Continuum theory of plasticity (1995), John Wiley and Sons Inc., New York pp. 215-229
28. Kuroda M. Roles of plastic spin in shear banding. Int J Plasticity 12 5 (1996) 671-693
29. Cinnamon JD, Palazotto AN, Brar NS, Kennan Z, Bajaj D. Johnson-Cook strength model constants for VascoMax 300 and 1080 steels, In: Proceedings of the 14th American Physical Society (APS) topical conference on shock compression of condensed matter, Baltimore, MD, 31 July-3 August, 2005.
30. Johnson GR, Cook WH. A constitutive model and data for metals subjected to large strains, high strain rates, and high temperatures, In: Proceedings of the 7th international symposium ballistics. american defense preparation organization, The Hague, Netherlands, 1983, pp. 541-7.
31. Cherukuri H.P., and Shawki T.G. An energy-based localization theory: I. Basic framework. Int J Plasticity 11 1 (1995) 15-40
32. Christoffersen J.C., and Hutchinson J.W. A class of phenomenological corner theories of plasticity. J Mech Phys Solids 27 5-6 (1979) 465-487
33. Crisfield M.A. Non-linear finite element analysis of solids and structure vol. 2 (1997), John Wiley and Sons Ltd., West Sussex, England p. 46-55