A constitutive framework of plastically deformed damaged continuum and a formulation using theendochronic concept

International Journal of Solids and Structures

Volumn 36, Issue 33, 1999, Pages 5057-5087

  Wu, Han Chin ^a   Nanakorn, C Komarakul ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIVE STRESS; CONTINUUM MECHANICS; MATHEMATICAL MODELS; PLASTIC DEFORMATION;

CONTINUUM DAMAGE MECHANICS;

FRACTURE MECHANICS;

EID: 0032684049     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00230-3     Document Type: Article

References (24)

1. Betten, J., 1983. Damage tensors in continuum mechanics. Journal de Mecanique theorique etappliquee 2, 13-32.
2. Chaboche, J.L., 1977. Sur lutilisation des variables deétat interne pour ladescription du comportement viscoplastique et de la rupture par endommagement. SymposiumFranco-Polonais de Rhéologie et Mécanique.Cracovie.
3. Chow, C.L., Chen, X.F., 1992. An anisotropic model of damage mechanics based on endochronictheory of plasticity. Int. J. Fracture 55, 115-130.
4. Chow, C.L., Lu, T.J., 1989. On evolution laws of anisotropic damage. Engineering FractureMechanics 34, 679-701.
5. Chow, C.L., Lu, T.J., 1992. A comparative study of continuum damage models for crackpropagation under gross yielding. Int. J. Fracture 53, 54-75.
6. Chow, C.L., Wang, J., 1987. An anisotropic theory of elasticity for continuum damage mechanics.Int. J. Fracture 33, 3-16.
7. Cordebois, J.P., Sidoroff, F., 1979. Damage induced elastic anisotropy. In: Boehler, J.P. (Ed.) ,Comportement mechanique des solides anisotropes, EUROMECH, Vol. 115. Villard-de-Lens,France. Proc. Coll., Int. du C.N.R.S., pp. 761-774.
8. Fonseka, G.U., Krajcinovic, D., 1981. The continuous damage theory of brittle materials, Part 2:uniaxial and plane response modes. J. Appl. Mech. 48, 816-824.
9. Ju, J.W., 1989. On energy based coupled elastoplastic damage theories: constitutive modeling andcomputational aspects. Int. J. Solids Struct. 25, 803-833.
10. Kachanov, L.M., 1958. On the time to failure during creep. Izv. AN. SSSR. OTN, pp. 337-360.
11. Krajcinovic, D., 1985. Continuous damage mechanics revisited: basic concepts and definition.ASME, J. Appl. Mech. 52, 829-834.
12. Lemaitre, J., 1985. A continuum damage mechanics model for ductile fracture. ASME, J. EngngMater. Technol. 107, 83-89.
13. Lemaitre, J., Chaboche, J.L., 1978. Aspects phénoménologique ge la rupture par endommagement. J. Méc. Appl. 2, 167-189.
14. Lemaitre, J., Chaboche, J.L., 1985. Mécanique des Matériaux Solides. Dunod, Paris. English Edition, Cambridge University Press.
15. Murakami, S., Ohno, N., 1981. A continuum theory of creep and creep damage. In Ponter, A.R.S.,Hayhust, D.P. (Eds.) , Creep Structure. Springer, Berlin, pp. 922-944.
16. Niu, X., 1989. Endochronic plastic constitutive equations coupled with isotropic damage and damageevolution models. Eur. J. Mech., ASolids 8, 293-308.
17. Rabotnov, Y.N., 1968. Creep rupture. In Hetenyi, M., Vincenti, H. (Ed.) , Proceedings, AppliedMechanics Conference. Standford University, pp. 342-349.
18. Rabotnov, Y.N., 1969. Creep problems in structural members. North-Holland Series in AppliedMath. and Mech., Vol. 7, Chap. 6. North-Holland Publishing Company.
19. Sidoroff, F., 1981. Description of anisotropic damage application to elasticity. In Hult, J., Lemaitre,J. (Eds.), Physical Non-linearities in Structure Analysis - IUTAM. Springer-Verlag, New York, pp.237-244.
20. Stumvoll, M., Swobada, G., 1993. Deformation behavior of ductile solids containing anisotropicdamage. J. of Engineering Mechanics 119, 1331-1352.
21. Valanis, K.C., 1971. Irreversible thermodynamics of continuous media. Course held at theDepartment of Mechanics of Solids, Udine, Springer-Verlag, Wien-New York.
22. Valanis, K.C., 1990. A theory of damage in brittle materials. Engineering Fracture Mechanics 36,403-16.
23. Woo, C.W., Li, D.L., 1992. A general stochastic dynamic model of continuum damage mechanics.Int. J. Solids Struct. 29, 2921-2932.
24. Wu, H.C., Nanakorn, C. Komarakul, 1998. An endochronic theory of continuum damage mechanics.J. of Engineering Mechanics 124, 200-208.