Abstract
Continuum damage mechanics offers a method of incorporating both creep and fatigue effects in a model of material failure. The complete modelling of deformation and failure for multi-axial behaviour presents many problems. The authors propose here some approaches to these problems. A non-linear kinematic hardening model and a multi-axial damage evolution law is used to model two simple bi-axial strain paths. Problems arising from these simulations are discussed and possible solutions proposed.
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
Hayhurst, D.R., Dimmer, P.R. and Morrison, C.J., Development of Continuum damage in the creep rupture of notched bars. Phil. Trans. R. Soc. Lond. A. 311 (1984) 103–129.
Chaboche, J.L., Continuous damage mechanics. A tool to describe phenomena before crack initiation. Nucl. Engg. Design 64 (1981) 233–247.
Lavender, D.A. and Hayhurst, D.R., Effect of continuum damage on stress redistribution and on fatigue lifetimes in a model structure. Part II, pp 1803–1820, Computational Plasticity, Ed. Owen, Hinton & Oriate, Pineridge Press, Swansea 1987.
Armstrong, P. J. and Frederick, C.O. A Mathematical representation of the multi-axial Bauschinger effect. CEGB Report RD/B/N731 (1966).
Chaboche, J.L. and Rousselier, G., On the plastic and viscoplastic constitutive equations - parts I and II. Trans. ASME, J. Press. Vessel Tech., 105 (1983) 153–164.
Lemaitre, J. and Chaboche, J.L., Mecanique des materiaux solides. Dunod (1985).
Taylor, M.Q., Fatigue life in 316 stainless steel. Final year undergraduate project report, University of Leicester, Dept. of Engineering, 1985.
Brown, M.W. and Miller, K.W. A Theory for Fatigue Failure under multi-axial stress strain conditions. Proc. Inst. Mech. Eng. vol. 187 65/73, 745–755, (1973).
Socie, D.F., Kureth, P. and Koch, J. A Multi-axial Fatigue Damage Parameter. Presented at the Second International Symposium on Multi-Axial Fatigue, Sheffield, U.K. December 1985.
Lavender, D.A. and Hayhurst, D.R, Isothermal cyclic plastic deformation and continuum damage in metals. Internal Report, Dept. of Mech. Engg., Sheffield University, December 1986.
Brown, M.W. and Miller, K.J., Initiation and growth of cracks in biaxial fatigue. Fat. Engg. Mat. Struct., 1 (1979) 231–246.
Chaboche, J.L. and Lesne, P.M., On the non-linear fatigue damage accumulation. Presented at the International Conference on Steel Structures, Budva, Yugoslavia, September 1986.
Brown, M.W. and Buckthorpe, D. A crack propagation based effective strain criterion. Presented at the 2nd International Conference on Multi-axial Fatigue, Sheffield, December 1985, to be published.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Elsevier Science Publishers Ltd
About this chapter
Cite this chapter
Lavender, D.A., Hayhurst, D.R. (1989). Continuum Damage Mechanics Applied to Multi-Axial Cyclic Material Behaviour. In: Cocks, A.C.F., Ponter, A.R.S. (eds) Mechanics of Creep Brittle Materials 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1117-8_17
Download citation
DOI: https://doi.org/10.1007/978-94-009-1117-8_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6994-6
Online ISBN: 978-94-009-1117-8
eBook Packages: Springer Book Archive