Analysis of Variations of Stress Intensity Factors of a Rectangular Crack Subjected to Shear Loading (Relationship between K_IImax, K_IIImax and √area)

In this paper, a singular integral equation method is applied to calculate the stress intensity factor along crack front of a 3D rectangular crack in an infinite body under mixed mode loading. The body force method is used to formulate the problem as a system of singular integral equations with singularities of the form r^-3 using the stress field induced by a force doublet in an infinite body as fundamental solution. In the numerical calculation, unknown body force densities are approximated by using fundamental density functions and polynomials. The present method yields rapidly converging numerical results for various aspect ratios of a rectangular crack. Distributions of stress intensity factors are indicated in tables and figures with varying the shape and Poisson\u27s ratio. The maximum stress intensity factors K_IImax and K_IIImax are found to be controlled by the √area parameter in a similar way of the case of K_Imax