Transverse conductivity of unidirectional fibrous composite with interface arc cracks

A complete solution of the conductivity problem has been obtained for the finite and infinite arrays of circular inclusions with interface arc cracks regarded as the models of fibrous composite with interface damage. By combining the multipole expansion technique with newly derived theoretical results, the model boundary-value problem has been reduced to a linear set of algebraic equations. An exact and finite form expression of the effective conductivity tensor has been found by integrating the local fields over the representative cell volume. The numerical data are given which show an accuracy and numerical efficiency of the proposed method and discover the way and extent to which the conductivity of fibrous composite is affected by the interface debonding.