Abstract
A complex interaction of cyclic loading histories in elasto-plastic material response can be described by using the multisurface hardening model with proper evolution rules for consecutive surfaces corresponding to specified hardening moduli. After model formulation, the parameters are identified for stainless steel 316, and applied to predict cyclic response for proportional and non-proportional loading. The stress and strain evolution near the circular hole in a cyclically loaded disk is then studied by using the multisurface model.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
1962 Coffin L.F.Jr., Low-cycle fatigue: a review, Appl.Mat. Res.,1, 129–141.
1966 Frederick Co. and Amstrong P.J., Convergent internal stresses and steady cyclic states of stress, Journ. Strain Anal., 1, 154–160.
1967 MRÓZ Z., On the description of anisotropic workhardening, J.Mech.Phys. Solids, 15, 163–175.
1969 MrÓZ Z., An attempt o describe the behaviour of metals under cyclic loads using a more general work-hardening model, Acta Mechanica, 7, 199.
1972 MrÓZ Z., On the theory of steady plastic cycles in structures, Proc. 1-st SMIRT, 6, part L/6.
1973 MrÓZ Z., Mathematical models of inelastic material behaviour, Univ. Waterloo Press.
1975 Halphen B. and Nguyen Q.S., Sur le materiaux standards généralisés, Journ. de Mécanique, 14, 39–63.
1976 Dafalias Y. and Popov E.P., Plastic internal variables formalism of cyclic plasticity, J. Appl. Mech, 98,645.
1977 Ainsworth R.A., Bounding solutions for creeping structures subjected to load variations above the shake-down limit, Int.J. Solids Struct., 13, 1–980.
1977 Zienkiewicz O.C., The Finite Element Method, McGraw-Hill, Berkshire, England.
1980 Owen D.R.J. and Hinton E., Finite Element in Plasticity, Pineridge Press Ltd, Swansea, U.K.
1981 MrÓZ Z., On generalized kinematic hardening rule with memory of maximal pres.tress, J.Mec. Appl., 5, 241–259.
1981 MrÓZ Z., Norris V.A. and Zienkiewicz O.C., Anisotropic critical state model for soils subject to cyclic loading, Géotechnique, 31, 451–469.
1985 Tanaka E., Murakami S. and Ooka M., Effects of plastic strain amplitudes on non-propotional cyclic plasticity, Acta Mechanika, 57, 1–182.
1986 MRÓZ Z., Phenomenological constitutive models for metals, in “Modelling of small deformations of metals”, Ed.J. Zarka and J. Gittus, Elsevier Sci. Publ.
1989 Murakami S., Kawai M. and Ohmi Y., Effects of amplitude-history and temperature-history on multiaxial cyclic behavior of type 316 stainless steel, J.Eng.Mat. Techn., 111, 278–285.
1990 Ohno N., Recent topics in constitutive modelling of cyclic plasticity and vi-scoplasticity, ASME Appl. Mech. Revs., 43, 283.
1990 Polizzotto C., Borino G. and Fuschi P., On the steady state response of elastic, perfectly plastic solids to cyclic loads, in ”Inelastic Solids and Structures”, ed. Kleiber M. and König J.A., Pineridge Press Swonsea, 473–488.
1992 TrampczyŃSki W. and MrÓZ Z., Anisotropic hardening model and its application to cyclic loading, Int. J. of Plasticity, 8, 925–946.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Mróz, Z., Rodzik, P. (1995). The Modified Multisurface Hardening Model and its Application to Cyclic Loading Problems. In: Mróz, Z., Weichert, D., Dorosz, S. (eds) Inelastic Behaviour of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0271-1_1
Download citation
DOI: https://doi.org/10.1007/978-94-011-0271-1_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4120-1
Online ISBN: 978-94-011-0271-1
eBook Packages: Springer Book Archive