Closed form solution for a semi-infinite crack moving in an infinite orthotropic material with a circular crack breaker under antiplane strain

Abstract This study investigates the influence of a circular crack breaker on mode-III deformation behavior semi-infinite in homogeneous, elastic orthotropic material subjected to longitudinal shear loads. The Galilean transformation is employed convert governing wave equation Laplace’s which time independent, rendering problem amenable analysis within realm classical theory two-dimensional elasticity. Considering geometrical configuration problem, analytical solution possible if transformed using appropriate mapping function. Our construction holomorphic function that maps hole into straight line with edge terminating at origin novelty enables use integral transform method obtain an analytic displacement, leading closed-form expression for stress intensity factor, $$K_{111}$$ K 111 . asymptotic values fields are obtained and shown depend radius breaker. A parametric shows that, fixed loading interval, larger leads increased factor.