Radical edge crack problem of a circular disk under circumference load

The problem of a circular disk with a radial edge crack is investigated theoretically. The disk is in an equilibrium state of generalized plane stress caused by a pair of concentrated forces loading on the disk circumference. The region of the cracked disk was mapped into the interior of a unit circle by using a conformal transformation. A boundary integral method was suggested to avoid the difficulty caused by the singularities of the transform function. The boundary value problem of the elastic cracked disk was solved analytically in a closed form. The stress intensity factor (SIF) at the tip of the crack was calculated using the complex potentials. The result shows that the smaller the load angle, the higher the value of the SIF