Interaction of Cracks with Rigid Inclusions in Longitudinal Shear Deformation.

摘要

The interaction of a crack with rigid circular cylindrical inclusions is considered for the case of longitudinal shear deformation. General representations of the solutions for a radial crack near a single and midway between two inclusions are given. The particular case of uniform shearing stress applied at infinity is discussed in detail. Expressions for the crack tip stress intensity factor K3 are derived and it is shown that K3 = 0 for a crack tip at the inclusion boundary, provided that the crack is radial. Generalization of the results to any number of inclusions with common line of centers is indicated.