Abstract
A new form of damage theory of materials is proposed, that is valid for the case of nonconservative stresses. The partial entropy, strain and microstructure parameters are taken as the state variables. Without assuming the free energy to be a state function, the basic governing equations are derived. According to the balance of released and dissipated energy, the general form of damage evolution equation is obtained. Further, assuming the existence of independent damage mechanisms, the normality of damage evolution equation is proven. The generalized damage variables are discussed. Finally, some examples are given to show the applications of the theory.
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References
Kachanov, L. M.,Izv. ANSSSR, OTN. Tekhn. Nauk. 8 (1958), 26–31.
Vakulenko, A. A. and Kachanov, M. L.Mekh. Tverdogo. Tela,4 (1971), 159–166.
Dragon, A. and Mroz, A.Int. J. Engng. Sci.,17 (1979), 121–137.
Lematre, J. and Chaboche, J. L.,J. Mech. Appl. 2 (1978), 317–365.
Murakami, S. and Ohno, N., in “Greep in Structure”, IUTAM symposium, ed. A. R. S. Ponter. Berlin, Springer-Verlag, (1981), 422–444.
Krajcinovic, D.,J. Appl. Mech. 52 (1985), 829–834.
Gao, Y. C.,Mechanics Research Communications,13, 4 (1986), 231–237.
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Yuchen, G. Damage theory of materials with microstructure. Acta Mech Sinica 5, 136–144 (1989). https://doi.org/10.1007/BF02489138
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DOI: https://doi.org/10.1007/BF02489138