Unified constitutive equations of viscoplastic deformation: Development and capabilities

JSME International Journal, Series A: Solid Mechanics and Material Engineering

Volumn 49, Issue 1, 2006, Pages 138-146

  Ho, Kwnagsoo ^a  

^a Keimyung University   (South Korea)

Author keywords

Constitutive equations; Dynamic strain aging; Negative rate sensitivity; Relaxation; Viscoplasticity

Indexed keywords

AGING OF MATERIALS; DEFORMATION; HARDENING; MATHEMATICAL MODELS; PLASTIC FLOW; STRAIN; STRAIN RATE;

CONSTITUTIVE EQUATIONS; DYNAMIC STRAIN AGING; NEGATIVE RATE SENSITIVITY;

VISCOPLASTICITY;

AGING OF MATERIALS; DEFORMATION; HARDENING; MATHEMATICAL MODELS; PLASTIC FLOW; STRAIN; STRAIN RATE; VISCOPLASTICITY;

EID: 33746324565     PISSN: 13447912     EISSN: 13475363     Source Type: Journal    
DOI: 10.1299/jsmea.49.138     Document Type: Article

References (24)

1. Bodner, S.R. and Partom, Y., Constitutive Equations for Elastic-Viscoplastic Strain Hardening Materials, J. Appl. Mech., Vol.42 (1975), pp.385-389.
2. Miller, A., An Inelastic Constitutive Model for Monotonic, Cyclic and Creep Deformations, J. Eng. Mat. Tech., Vol.98 (1976), pp.97-105.
3. Chaboche, J.L. and Rousselier, G., On the Plastic and Viscoplastic Constitutive Equations. Part I: Rules Developed with Internal Variable Concept, J. Pres. Vessel Tech., Vol.105 (1983), pp.153-158.
4. Krempl, E., Models of Viscoplasticity: Some Comments on Equilibrium (Back) Stress and Drag Stress, Acta Mech., Vol.69 (1987), pp.25-42.
5. Ohno, N. and Wang, J., Kinematic Hardening Rules with Critical State of Dynamic Recovery, Part I: Formulation and Basic Features for Ratcheting Behavior, Int. J. Plasticity, Vol.9 (1993), pp.375-390.
6. Cottrell, A.H., A Note on the Portevin-Le Chatelier Effect, Phil. Mag., Vol.44 (1953), pp.829-832.
7. Mulford, R.A. and Kocks, U.F., New Observation on the Mechanisms of Dynamic Strain Aging and of Jerky Flow, Acta Metal., Vol.27 (1979), pp. 1125-1134.
8. Kubin, L.P. and Estrin, Y., The Portevin-Le Chatelier Effect in Deformation with Constant Stress Rate, Acta Metal., Vol.33 (1985), pp.397-407.
9. Nortmann, A. and Schwink, CH., Characteristics of Dynamic Strain Ageing in Binary F.C.C. Copper Alloys: I. Results on Solid Solutions of CuAl. Acta Mat., Vol.45 (1997), pp.2043-2050.
10. Miller, A.K. and Sherby, O.D., A Simplified Phenomenological Model for Non-Elastic Deformation: Prediction of Pure Aluminum Behavior and Incorporation of Solute Strengthening Effects, Acta Metal., Vol.26 (1978), pp.289-304.
11. Yaguchi, M. and Takahashi, Y., Unified Inelastic Constitutive Model for Modified 9Cr-1Mo Steel Incorporating Dynamic Strain Aging Effect, JSME Int. J., Ser. A, Vol.42, No.1 (1999), pp.1-10.
12. Perzyna, R, The Constitutive Equations for Rate Sensitive Plastic Materials, Quart. Appl. Math., Vol.20 (1963), pp.321-332.
13. Chaboche, J.L., Constitutive Equations for Cyclic Plasticity and Cyclic Viscoplasticity, Int. J. Plasticity, Vol.5 (1989), pp.247-302.
14. Ho, K. and Krempl, E., The Modeling of Unusual Rate Sensitivity Inside and Outside the Dynamic Strain Aging Regime, J. Eng. Mat. Tech., Vol.123 (2001)9 pp.28-35.
15. Ho, K., Modeling of Nonlinear Rate Sensitivity by Using an Overstress Model, Comp. Model. Eng. Sci., Vol.2 (2001), pp.351-364.
16. Armstrong, P.J. and Frederick, C.O., A Mathematical Representation of the Multiaxial Bauschinger Effect, CEGB Report RD/B/N731, Berkeley Nuclear Lab., UK., (1966).
17. Cernocky, E.P. and Krempl, E., A Nonlinear Uniaxial Integral Constitutive Equation Incorporating Rate Effects, Creep and Relaxation, Int. J. Nonlinear Mech., Vol. 14 (1979), pp.183-203.
18. Majors, P.S. 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., Vol.186 (1994), pp.23-34.
19. 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., Ser. A, Vol.41, No.1 (1998), pp.103-111.
20. McCormick, P.G., Theory of Flow Localisation Due to Dynamic Strain Aging, Acta Metal., Vol.36 (1988), pp.3061-3067.
21. Estrin, Y. and Kubin, L.P., Plastic Instabilities: Phenomenology and Theory, Mat. Sci. Eng. A, Vol.137 (1991), pp. 125-134.
22. Mesarovic, S., Dynamic Strain Aging and Plastic Instabilities, J. Mech. Phys. Solids, Vol.43 (1995), pp.671-700.
23. Kaneko, K. and Oyamada, T., A Viscoplastic Constitutive Model with Effect of Aging, Int. J. Plasticity, Vol.16 (2000), pp.337-357.
24. Yaguchi, M., Yamamoto, M. and Ogata, T., A Viscoplastic Constitutive Model for Nickel-Base Superalloy, Part2: Modeling under Anisothermal Conditions, Int. J. Plasticity, Vol.18 (2002), pp.1111-1131.