The generalized Masing models for deteriorating hysteresis and cyclic plasticity

Applied Mathematical Modelling

Volumn 23, Issue 11, 1999, Pages 847-863

  Chiang, Dar Yun ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Cyclic plasticity; Deteriorating hysteresis; Masing model; Universal stress strain curve

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; PLASTICITY; STRAIN; STRESS ANALYSIS;

CYCLIC PLASTICITY; DETERIORATING HYSTERESIS; MASING MODEL;

HYSTERESIS;

EID: 0033222049     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(99)00015-3     Document Type: Article

References (23)

1. W.D. Iwan, A distributed element model for hysteresis and its steady-state dynamic response, ASME J. Appl. Mech. 33 (4) (1966) 893-900.
2. Y.K. Wen, Method for random vibration of hysteretic systems, ASCE J. Engrg. Mech. 102 (EM2) (1976) 249-263.
3. Y.K. Wen, Equivalent linearization for hysteretic system under random excitations, ASME J. Appl. Mech. 47 (1) (1980) 150-154.
4. P. Jayakumar, Modeling and identification in structural dynamics. Report No. EERL 87-01, 1987, California Institute of Technology, Pasadena.
5. Z. Mroz, On the description of anisotropic workhardening, J. Mech. and Phys. Solids 15 (1967) 163-175.
6. Y.F. Dafalias, E.P. Popov, Plastic internal variables formalism of cyclic plasticity, ASME J. Appl. Mech. 98 (1976) 645-651.
7. P.J. Armstrong, C.O. Frederick, A mathematical representation of the multi-axial Bauschinger effect. GEGB Report RD/B/N 731, 1966, Berkeley Nuclear Laboratories.
8. J.L. Chaboche, Time independent constitutive theories for cyclic plasticity, Int. J. Plasticity 2 (2) (1986) 149-171.
9. N. Ohno, J.-D. Wang, Transformation of a nonlinear kinematic hardening rule to a multi-surface form under isothermal and nonisothermal conditions, Int. J. Plasticity 7 (1991) 879-902.
10. D.L. McDowell, Stress state dependence of cyclic ratchetting behavior of two rail steels, Int. J. Plasticity 11 (4) (1995) 391-421.
11. K.C. Valanis, A theory of viscoplasticity without a yield surface, Arch. Mech. 23 (4) (1971) 517-551.
12. K.C. Valanis, Fundamental consequences of a new intrinsic time measure, plasticity as a limit of the endochronic theory, Arch. Mech. 32 (1980) 171-191.
13. D.Y. Chiang, J.L. Beck, A new class of distributed-element models for cyclic plasticity - Part 1: Theory and application, Int. J. Solids Struct. 31 (4) (1994) 469-484.
14. Y.J. Park, Y.K. Wen, A.H.-S. Ang, Random vibration of hysteretic systems under bi-directional ground motions, Int. J. Earthq. Engrg. and Struct. Dynam. 14 (1986) 543-557.
15. E.J. Graesser, F.A. Cozzarelli, A multi-dimensional hysteretic model for plastically deforming metals in energy absorbing devices. Report No. CEER 91-06, 1991, State University of New York, Buffalo.
16. I.S. Sandler, On the uniqueness and stability of endochronic theories of material behavior, ASME J. Appl. Mech. 45 (1978) 263-266.
17. W.D. Iwan, A.O. Cifuentes, A model for system identification of degrading structures, Int. J. Earthquake Engrg. and Struct. Dynam. 14 (1986) 877-890.
18. G. Masing, Eigenspannungen und verfestigung beim messing (Self stretching and hardening for brass), in: Proceedings of the Second International Congress for Applied Mechanics, Zurich, Switzerland, 1926, pp. 332-335 (in German).
19. D. Y. Chiang, J.L. Beck, A transformation method for implementing classical multi-yield-surface theory using the hardening rule of mroz, Int. J. Solids Struct. 33 (1996) 4239-4261.
20. A.O. Cifuentes, W.D. Iwan, Nonlinear system identification based on modeling of restoring force behavior, Soil Dynam. and Earthquake Engrg. 8 (1) (1989) 2-8.
21. H.S. Lamba, O.M. Sidebottom, Cyclic plasticity for non-proportional paths - Part 1: Cyclic hardening erasure of memory and subsequent strain hardening experiments, ASME J. Engrg. Mater. Technol. 100 (1978) 96-103.
22. H.S. Lamba, O.M. Sidebottom, Cyclic plasticity for non-proportional paths - Part 2: Comparison with predictions of three incremental plasticity models, ASME J. Engrg. Mater. Technol. 10 (1978) 104-111.
23. A. Phillips, W.-Y. Lu, An experimental investigation of yield surfaces and loading surfaces of pure aluminum with stress-controlled and strain-controlled paths of loading, ASME J. Engrg. Mater. Technol. 106 (1984) 349-354.