A crack originating from a triangular notch on a rim of a semi-infinite plate under transverse bending

Abstract Stress analysis of a semi-infinite plate with a triangular notch and a crack originating from a triangular notch under transverse bending is carried out. The classical theory for thin plate bending problem is used. The rational mapping function is applied. The obtained solution is exact for the shape represented by the rational mapping function and is of the closed form. Stress distributions and stress intensity factors for some angles of a notch and crack lengths are analytically calculated. The relation between the poisson's ratio and stress distributions or stress intensity factors are investigated. An approximate expression of the stress intensity factor is presented.