This paper develops a fracture mechanics based continuum damage theory for initially anisotropic solids by extending the author’s previous damage theory for isotropic solids. The concepts of strain energy equivalence principle (SEEP) and equivalent line-crack modeling are used to develop the effective continuum elastic properties of a damaged solid in terms of the undamaged anisotropic elastic properties and a scalar damage variable.
Issue Section:
Brief Notes
1.
Krajcinovic, D., 1996, Damage Mechanics, Elsevier, New York.
2.
Lee
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Lesieutre
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Lei
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1997
, “Anisotropic damage mechanics based on strain energy equivalence and equivalent elliptical microcracks
,” International Journal of Solids and Structures
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.3.
Mazarz
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Pijaudier-Cabot
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1996
, “From damage to fracture mechanics and conversely: A combined approach
,” International Journal of Solids and Structures
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, pp. 3327
–3342
.4.
Ortiz
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1985
, “A Constitutive theory for the inelastic behavior of concrete
,” Mechanics of Materials
, Vol. 4
, No. 1
, pp. 67
–93
.5.
Sih, G. C., and Liebowitz, H., 1967, “Mathematical theories of brittle fracture,” Fracture, Vol. II, H. Liebowitz, ed., Academic Press, New York, Chapter 2.
6.
Tsai, S. W., 1988, Composite Design, 4th Design, Think Composites, Dayton, OH.
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