A Continuum Damage Mechanics Theory for Anisotropic Solids

초록

This paper develops a theory of continuum damage mechanics for anisotropic solids by extending the authors previous damage theory for isotropic solids on the basis of both the principle of strain energy equivalence and the concept of equivalent fictitious line crack representation. The strain energy equivalence principle is 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. The equivalent line crack representation of a local damage provides a means by which the effective direction of damage propagation can be identified from the local stresses and strains that are available in the course of continuum damage analysis. A scalar damage variable, defined as the effective volume fraction of a damaged zone associated with an equivalent line crack, is consistently used to develop a consistent damage evolution equation, combining with the Paris crack growth law in fracture mechanics. Finally, an iterative numerical approach of continuum damage analysis is introduced.