A Cylindrical Interface Crack in a Nonhomogeneous Anisotropic Elastic Body

Abstract

This paper considers a cylindrical interface crack problem, from micro-mechanics-points of view, using a two phase material model consisting of a transversely isotropic circular cylinder embedded in a transversely isotropic infinite body which takes account of the anisotropy of a carbon fiber and the mechanical interaction between fibers. The problem relates to the stress state near a crack-like defect with curved surfaces at the interface between fiber and matrix in a unidirectional carbon fiber reinforced plastics. Mathematical formulations are made in terms of a Cauchy-type singular integral equation of the second kind and the results are compared with those of the macromechanics model in our previous paper.