Effect of the rate dependence of nonlinear kinematic hardening rule on relaxation behavior

International Journal of Solids and Structures

Volumn 45, Issue 3-4, 2008, Pages 821-839

  Ho, Kwangsoo ^a  

^a Keimyung University   (South Korea)

Author keywords

Nonlinear kinematic hardening rule; Relaxation; Viscoplasticity

Indexed keywords

HARDENING; KINETIC ENERGY; LOADS (FORCES); RELAXATION PROCESSES; STRAIN; STRESS ANALYSIS; VISCOPLASTICITY;

METALLIC MATERIALS; NONLINEAR KINEMATIC HARDENING RULE; RELAXED STRESS;

NONLINEAR ANALYSIS;

EID: 36049027190     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.09.003     Document Type: Article

References (33)

1. Armstrong, P.J., Frederick, C.O., 1966. A mathematical representation of the multiaxial bauschinger effect (CEGB Report RD/B/N/731). Berkeley Nuclear Laboratories, R&D Department, CA.
2. Bordonaro C.M., and Krempl E. Effect of strain rate on the deformation and relaxation behavior of 6/6 Nylon at room temperature. Poly. Eng. Sci. 32 (1992) 1066-1072
3. Basuroychowdhury I., and Voyiadjis G. A multiaxial cyclic plasticity model for non-proportional loading cases. Int. J. Plast. 14 (1998) 855-870
4. Chaboche J.L., and Rousselier G. On the plastic and viscoplastic constitutive equations, parts I and II. J. Pressure Vessel Tech. 105 (1983) 153-164
5. Chaboche J.L. Time-independent constitutive theories for cyclic plasticity. Int. J. Plast. 2 (1986) 149-188
6. Chaboche J.L., and Nouailhas D. A unified constitutive model for cyclic viscoplasticity and its applications to various stainless steel. J. Eng. Mat. Tech. 111 (1989) 424-430
7. Chaboche J.L. Cyclic viscoplastic constitutive equations, part I: thermodynamically consistent formulations. J. Appl. Mech. 60 (1993) 813-821
8. Colak O.U., and Krempl E. Modeling of uniaxial and biaxial ratcheting behavior of 1026 Carbon steel using the simplified viscoplasticity theory based on overstress (VBO). Acta Mech. 160 (2003) 27-44
9. Freed A.D., Chhaboche J.L., and Walker K.P. A viscoplasticity theory with thermodynamic considerations. Acta Mech. 90 (1991) 155-174
10. Hall R.B. A thermodynamic framework for viscoplasticity based on overstress (VBO). J. Eng. Mat. Tech. 127 (2005) 369-373
11. Ho K., and Krempl E. Modeling of positive, negative and zero rate sensitivity by using the viscoplasticity theory based on overstyress (VBO). Mech. Time-dependent Mat. 4 (2000) 21-42
12. Ho K. Modeling of nonlinear rate sensitivity by using an overstress model. Comp. Model. Eng. Sci. 2 (2001) 351-364
13. Ho K., and Krempl E. The modeling of unusual rate sensitivities inside and outside the dynamic strain aging regime. J. Eng. Mat. Tech. 123 (2001) 28-35
14. Ho K., and Krempl E. Extension of the viscoplasticity theory based on overstress (VBO) to capture non-standard rate dependence in solids. Int. J. Plast. 18 (2002) 851-872
15. Ho K. A study on strain rate sensitivity by unified viscoplasticity. Trans. Mat. Proc. 13 (2004) 600-607
16. Ho K. Unified constitutive equations of viscoplastic deformation: development and capabilities. JSME Int. J. (Series A) 49 (2006) 138-146
17. Ho K. The rate dependent deformation behavior of AISI type 304 stainless steel at room temperature. Trans. Mat. Proc. 16 (2007) 101-106
18. Khan A., and Farrokh B. Thermo-mechanical response of nylon 101 under uniaxial and multi-axial loadings, part I: experimental results over wide ranges of temperatures and strain rates. Int. J. Plast. 22 (2006) 1506-1529
19. Krempl E., and Kallianpur V. Some critical uniaxial experiments for viscoplasticity at room temperature. J. Mech. Phys. Solids 32 (1984) 301-314
20. Krempl E., McMahon J.J., and Yao D. Viscoplasticity based on overstress with a differential growth law for the equilibrium stress. Mech. Materials 5 (1986) 35-48
21. Krempl E. A small strain viscoplasticity theory based on overstress. In: Krausz A., and Krausz K. (Eds). Unified Constitutive Laws of Plastic Deformation (1996), Academic Press, San Diego 281-318
22. Krempl E., and Nakamura T. The influence of the equilibrium stress growth law formulation on the modeling of recently observed relaxation behaviors. JSME Int. J. (Series A) 41 (1998) 103-111
23. Krempl E. Relaxation behavior and modeling. Int. J. Plast. 17 (2001) 1419-1436
24. Lemaitre J., and Chaboche J.L. Mechanics of solid materials (1994), Oxford University Press, Cambridge
25. Majors P., and Krempl E. The isotropic viscoplasticity theory based on overstress applied to the modeling of modified 9wt.%Cr-1wt.%Mo steel at 538 °C. Mat. Sci. Eng. A186 (1994) 23-34
26. Ohno N., and Wang J.-D. Kinematic hardening rules with critical state of dynamic recovery, part I: formulations and basic features for ratcheting behavior. Int. J. Plast. 9 (1993) 375-390
27. Ohno N., and Abdel-Karim M. Uniaxial ratcheting of 316FR steel at room temperature, part II: constitutive modeling and simulation. J. Eng. Mat. Tech. 122 (2000) 35-41
28. Phillips A., Tang J., and Ricciuti M. Some new observations on yield surfaces. Acta Mech. 20 (1974) 23-39
29. Prager W. A new method of analyzing stresses and strains in work hardening plastic solids. J. Appl. Mech. 23 (1956) 493-496
30. Ramaswamy V., Stouffer D., and Laflen J. A unified constitutive model for the inelastic uniaxial response of Rene'80 at temperatures between 538 °C and 982 °C. J. Eng. Mat. Tech. 112 (1990) 280-286
31. Yaguchi M., and Takahashi Y. Unified constitutive model for modified 9Cr-1Mo steel incorporating dynamic strain aging effect. JSME Int. J. (Series A) 42 (1999) 1-10
32. Yaguchi M., and Takahashi Y. A viscoplastic constitutive model incorporating dynamic strain aging effect during cyclic deformation conditions. Int. J. Plast. 16 (2000) 241-262
33. Yaguchi M., Yamamoto M., and Ogata T. A viscoplastic constitutive model for nickel-base superalloy, part 2: modeling under anisothermal conditions. Int. J. Plast. 18 (2002) 1111-1131