Modeling and Identification of the Local Damages within Anisotropic Solids

초록

As anisotropic materials such as composite materials are increasingly used in these days for structural applications, a theory of continuum damage mechanics for anisotropic solids is introduced by using the crack energy from fracture mechanics. In the present fracture mechanics-based continuum damage theory, the material behavior of damaged solids is modeled by the effective continuum elastic properties, into which a local damage is smoothly smeared, by using two major concepts: the strain energy equivalence principle and the equivalent line crack representation of a local damage. We benefit from these concepts, in that current local damage state can be identified from the local stresses and strains available in the course of damage analysis. Thus, combining the damage modeling process with the damage identification process may provide a simple, unified, and yet powerful continuum approach to predicting the failures of structural and mechanical components. Though this paper is confined to the generalized plane stress problems, extension to the three-dimensional problems seems to be straightforward in nature.