A FINITE ELASTIC BODY WITH A CURVED CRACK LOADED IN ANTI-PLANE SHEAR

摘要: Abstract This paper presents a Boundary Integral Equation Method (BIEM) for an arbitrarily shaped, linearly elastic, homogeneous and isotropic body with curved crack loaded in anti-plane shear. The must be modeled as arc of circle wholly inside the solid—otherwise its position orientation respect to boundary is arbitrary. effect on stress field incorporated augmented kernel developed mode III problem such that discretization cutout no longer necessary. modification integral equation leads solutions near great accuracy. An asymptotic analysis conducted order derive Stress Intensity Factor (SIF) KIII, at each tip, closed form. In this formulation, straight can viewed particular case more general crack. particular, attention paid influence curvature edge intensity factors right left tips. A rigorous mathematical formulation developed, main aspects numerical implementation are discussed several representative examples presented paper.