Abstract

The theory of continuously distributed screw dislications is used to study the interaction between an elastic-plastic crack and a circular cylindrical hole in an infinite elastic medium. This medium is under uniformly distributed shear load at infinity which produces anti-plane deformation. Exact solutions are obtained for the effect of the hole on the dislocation distribution function, the applied load-plastic zone relationship, the relative shear displacement along the crack and the plastic zone, and the crack-tip opening displacement.

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