Within the framework of irreversible thermodynamics, a new general constitutive model for describing damage and its effect on the overall properties of transversely isotropic solids is proposed. The ability of the model to describe the overall stress—strain response as well as the loss of symmetry resulting from the interaction between initial and damage-induced anisotropy in a brittle matrix composite is demonstrated.
Chaboche, J.L.Damage induced anisotropy: on the difficulties associated with the active/passive unilateral condition. International Journal of Damage Mechanics, 2, 311—329 (1992).
3.
Nemat-Nasser, S. and Horii, M. Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, Amsterdam , 1993.
4.
Pensée, V. and Kondo, D.Micromechanics of anisotropic brittle damage: comparative analysis of a stress-based and a strain-based formulations. Mechanics of Materials, 35, 747—761 ( 2003).
5.
Talreja, R. A continuum mechanics characterization of damage in composite materials. Proceedings: Mathematical, Physical and Engineering Science, Royal Society of London, A 399, 195—216(1985).
6.
Biegler, M.W. and Mehrabadi, M.M.An energy-based constitutive model for anisotropic solids subject to damage. Mechanics of Materials, 19, 151—164 (1995).
7.
Halm D., Dragon A., and Charles, Y.A modular damage model for quasi brittle materials—Interaction between initial and induced anisotropy. Archive Applied Mechanics , 72, 498—510 (2002).
8.
Baste, S., Aristegui, C.Induced anisotropy and crack systems orientations of a ceramic matrix composite under off-principal axis loading. Mechanics of Materials, 29, 19—41 (1998).
9.
Lubarda, V.A. and Krajcinovic, D.Damage tensor and crack density distribution . International Journal of Solids and Structures, 30, 2859—2877 (1993).
10.
Liu, I-S.On representations of anisotropic invariants . International Journal of Engineering Sciences, 20, 1099— 1109 (1982).
11.
Wang, C. C. A new representation theorem for isotropic functions, parts I and II . Archive of Rational Mechanics and Analysis, 36, 166—223 (1970).
12.
Boehler J.P.Application of Tensors Functions in Solids Mechanics, CISM Courses and Lectures , Vol. 292, Springer, Berlin, 1987.
13.
Murakami, S. and Kamiya, K.Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics. International Journal of Mechanical Sciences, 4, 473—486 (1997).
14.
Barret, C. and Baste, S.Total induced anisotropy due to tilted cracks in anisotropic medium. Composites Science and Technology, 62, 525—531 (2002).