Modeling and characterization of cyclic relaxation and ratcheting using the distributed-element model

Applied Mathematical Modelling

Volumn 32, Issue 4, 2008, Pages 501-513

  Chiang, Dar Yun ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Cyclic relaxation; Distributed element model; Kinematic hardening rule; Ratcheting

Indexed keywords

COMPUTER SIMULATION; ELASTIC DEFORMATION; ELASTOPLASTICITY; HARDENING; KINEMATICS; RELAXATION PROCESSES;

CYCLIC RELAXATION; DISTRIBUTED-ELEMENT MODEL; KINEMATIC HARDENING RULE; RATCHETING;

STEEL;

COMPUTER SIMULATION; ELASTIC DEFORMATION; ELASTOPLASTICITY; HARDENING; KINEMATICS; RELAXATION PROCESSES; STEEL;

EID: 37249075991     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2007.01.002     Document Type: Article

References (32)

1. Kyriakides S., and Shaw P.K. Inelastic buckling of tubes under cyclic bending. ASME J. Pressure Vessel Technol. 109 (1987) 169-178
2. Pan W.F., and Her Y.S. Viscoplastic collapse of thin-walled tubes under cyclic bending. ASME J. Eng. Mater. Technol. 120 (1998) 287-290
3. L Chaboche J. Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int. J. Plasticity 5 (1989) 246-302
4. Estrin Y., Braasch H., and Brechet Y. A dislocation density based constitutive model for cyclic deformation. ASME J. Eng. Mater. Technol. 118 4 (1996) 441-447
5. Portier L., Calloch S., Marquis D., and Geyer P. Ratchetting under tension-torsion loadings: experiments and modeling. Int. J. Plasticity 16 (2000) 303-335
6. Bari S., and Hassan T. An advancement in cyclic plasticity modeling for multiaxial ratcheting simulation. Int. J. Plasticity 18 (2002) 873-894
7. Bari S., and Hassan T. Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation. Int. J. Plasticity 17 (2001) 885-905
8. Bari S., and Hassan T. Anatomy of coupled constitutive models for ratcheting simulation. Int. J. Plasticity 16 (2000) 381-409
9. Moosbrugger J.C. Some developments in the characterization of material hardening and rate sensitivity for cyclic viscoplasticity models. Int. J. Plasticity 7 (1991) 405-419
10. McDowell D.L. Stress state dependence of cyclic ratcheting behavior of two rails steels. Int. J. Plasticity 11 4 (1995) 397-421
11. P.J. Armstrong, C.O. Frederick, A mathematical representation of multiaxial Bauschinger effect, G.E.G.B. Report RD/B/N 731, 1966.
12. Bower A.F. Cyclic hardening properties of hard-drawn copper and rail steel. J. Mech. Phys. Solids 37 4 (1989) 455-470
13. Prager W. The theory of plasticity - a survey of recent achievements. Proc. Inst. Mech. Eng., London 169 (1955) 41-57
14. Ziegler H. A modification of Prager's hardening rule. Quart. Appl. Math. 17 (1958) 55-65
15. Mroz Z. On the description of anisotropic workhardening. J. Mech. Phys. Solids 15 (1967) 163-175
16. Chaboche J.L., and Rousselier G. On the plastic and viscoplastic constitutive equations - part I: rules developed with internal variable concept. ASME J. Pressure Vessel Technol. 105 (1983) 153-158
17. Chaboche J.L., and Nouailhas D. Constitutive modeling of ratcheting effects. ASME J. Eng. Mater. Technol. 111 3 (1989) 384-389
18. Chaboche J.L. On some modification of kinematic hardening to improve the description of ratchetting effects. Int. J. Plasticity 7 (1991) 661-678
19. Ohno N., and Wang J.D. Transformation of a nonlinear kinematic hardening rule to a multi-surface form under isothermal and nonisothermal conditions. Int. J. Plasticity 7 (1991) 879-892
20. Chiang D.Y., and Beck J.L. A new class of distributed-element models for cyclic plasticity - I. theory and applications. Int. J. Solids Struct. 31 4 (1994) 469-484
21. Chiang D.Y., and Beck J.L. A new class of distributed-element models for cyclic plasticity - II. on important properties of material behavior. Int. J. Solids Struct. 31 4 (1994) 485-496
22. Chiang D.Y. A phenomenological model for cyclic plasticity. ASME J. Eng. Mater. Technol. 119 1 (1997) 7-11
23. Iwan W.D. On a class of models for the yielding of continuous and composite system. ASME J. Appl. Mech. 34 3 (1967) 612-617
24. Besseling J.F. A theory of elastic, plastic and creep deformation of an initially isotropic material showing strain hardening, creep recovery, and secondary creep. ASME J. Appl. Mech. 25 (1958) 529-536
25. Meijers P., and Roode F. Experimental verification of constitutive equations for creep and plasticity based on overlay models. ASME J. Pressure Vessel Technol. 105 (1983) 277-284
26. Chiang D.Y. Modeling and identification of elastic-plastic systems using the distributed-element model. ASME J. Eng. Mater. Technol. 119 4 (1997) 332-336
27. H.R. Jhansale, T.H. Topper, Engineering analysis of the inelastic stress response of structure metal under variable cyclic strains, in: ASTM STP 519, Cyclic Stress-Strain Behavior-Analysis, Experimentation, and Failure Prediction, 1973, pp. 246-270.
28. Jackson P.J. The mechanisms of plastic relaxation in single-crystal deformation. Mater. Sci. Eng. 81 (1986) 169-178
29. Doong S.-H., Socie D.F., and Robertson I.M. Dislocation substructures and nonproportional hardening. ASME J. Eng. Mater. Technol. 112 4 (1990) 456-463
30. Kuhlmann-Wilsdorf D. Theory of plastic deformation properties of low energy dislocation structures. Mater. Sci. Eng. A 113 (1989) 1-41
31. Khan A.S., and Huang S. Continuum Theory of Plasticity (1995), John Wiley and Sons (Chapter 6)
32. Dafalias Y.F., and Popov E.P. Plastic internal variables formalism of cyclic plasticity. ASME J. Appl. Mech. 43 (1976) 645-651