Stress Intensity Factors for a Linear Stress Distribution

Abstract

The stress intensity factor for an edge crack of length a in a semi-infinite plate subjected to a pair of equal and opposite concentrated forces at a distance b from the plate edge (Figure 1) is given by [1]

$$ K'_I = \frac{2} {{\sqrt \pi }}\frac{{1 + F\left( {{b \mathord{\left/ {\vphantom {b a}} \right. \kern-\nulldelimiterspace} a}} \right)}} {{\left( {a^2 - b^2 } \right)^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} }}Pa^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} $$

(1)