Westergaard Method for a Crack Subjected to Shear Forces

Abstract

Verify that the function Z΄_III for an infinite plate with a crack of length 2a subjected to a pair of shear forces S at x = b (Figure 1) is

$$ {Z'_{III}} = - \frac{S}{{\pi \left( {z - b} \right)}}{\left\{ {\frac{{{a^2} - {b^2}}}{{{z^2} - {a^2}}}} \right\}^{1/2}}. $$

((1))