Abstract

This paper introduces a theory of continuum damage mechanics for an&tropic. 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. FinaIly, an iterative numerical approach of continuum damage analysis is introduced.

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