Summary
It is shown that the material damage in creep can be represented by a second rank symmetric tensor. The constitutive equations of creep and creep damage are formulated by employing the damage tensor as an internal state-variable. The difference between the effects of the material damage on creep and damage growth is incorporated. Anisotropic damage law, Prager-Drucker type flow law and strain-hardening hypothesis are assumed to specify the resulting constitutive equations. The numerical results under constant and non-proportional loadings are compared with those of the corresponding experiments on copper at 250°C.
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References
Ashby, M.F. and Raj, M. 1975 Proc. Conf. Mechanics and Physics, The Metal Society, Institute of Physics, Cambridge
Chaboche, J.L.. 1977 Publication ONERA, No. 1977–45.
Chyudnovsky, A.I. 1973 Research of Elasticity and Plasticity, Leningrad University Press, No. 9, 3.
Dyson, B.F. and Mclean, D. 1972 Met. Sci. J. 6, 220.
Dyson, B.F. and Mclean, D. 1977 Met. Sci. 11, 37.
Garofalo, F. 1965 Fundamentals of Creep and Creep Rupture in Metals, Chap. 7, Mcmillan, New York.
Greenwood, G.W. 1973 Microstructure and the Design of Alloys, Int. Conf. on. Metals, Cambridge, Vol. 2, P. 91.
Hayhurst, D.R. 1972 J. Mech. Phys. Solids 20, 381.
Hayhurst, D.R. and Leckie, F.A. 1973 Ibid. 21, 431.
Hayhurst, D.R. and Storakers, B. 1976 Proc. R. Soc. London A 349, 369.
Ilyushin, A.A. 1967 Mekhanika Tverdovo Tiela, No. 3,21.
Johnson, A.E. 1960 Metall. Rev. 5, 447.
Johnson, A.E. 1956 Engineer 202, 261,299.
Henderson, J. and MATHUR, V.D. KACHANOV, L.M.. 1958 Izv. Akad. Nauk USSR, Otdgel. Tekh. Nauk, No. 8, 26
Henderson, J. and Mathur, V.D. Kachanov, L.M. 1974 Foundations of Fracture Mechanics, Chap. 7, Nauka, Moscow.
Krieg, R.D., Swearengen, J.C. and Rohde, R.W. 1978 Inelastic Behaviour of Pressure Vessel and Piping Components (Edited by CHANG, T.Y. and KREMPL, E.), PVP-PB-028, p. 15, ASME, New York.
Lagneborg, R. 1971 J. Basic Enging 93 205.
Leckie, F.A. and Hayhurst, D.R.1977 Acta Metall. 25, 1059
Murakami, S. and Ohno, N. 1978a Inelastic Behavior of Pressure Vessel and Piping Components (Edited by CHANG, T.Y. and KREMPL, E.), PVP-PB- 028, p. 55, ASME, New York.
Murakami, S. and Ohno, N. 1978b Constitutive Modelling in Inelasticity, Euromech 111 Symposium, Maricinske Lázne, Sept. 1978.
Murakami, S. and Yamada, Y. 1974 J. Engng Mat. Tech. 96, 207.
Odqvist, F.K.G. 1966 Mathematical Theory of Creep and Creep Rupture, Clarendon Press, Oxford. J. Appl. Mech. 43_, 445.
Paslay, P.R. and Wells, C.H. 1976 J. Appl. Mech. 43, 445.
Rabotnov, Yu.N. 1969 Creep Problems of Structural Members, North-Holland, Amsterdam.
Trampczynski, W.A., Hayhurst, D.R. and Leckie, F. A. 1979 Private communication.
Vakulenko, A.A. and Kachanov, M.L. 1971 Mekhanika Tverdovo Tiela, No. 4, 159.
Wang, C.C. 1970 Arch Rational Mech. 36, 166.
Wang, C.C. 1971 Ibid. 43, 392.
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Murakami, S., Ohno, N. (1981). A Continuum Theory of Creep and Creep Damage. In: Ponter, A.R.S., Hayhurst, D.R. (eds) Creep in Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81598-0_28
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DOI: https://doi.org/10.1007/978-3-642-81598-0_28
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