Stochastic XFEM fracture and crack propagation behavior of an isotropic plate with hole emanating radial cracks subjected to various in-plane loadings

In this article, the statistics of fracture response in terms of the mean and coefficient of variation of mixed mode stress intensity factor (SIF) of an isotropic plate with hole emanating radial cracks and crack growth subjected to in-plane mechanical tensile, shear, and combined loading is evaluated. The random system parameters, such as normalized crack length, crack angle, and normalized radius of hole, are assumed as uncorrelated random variables. The basic formulation is based on the extended finite-element method with level set method combined with second-order perturbation method. The effects of the normalized radius of the hole, normalized crack length, crack angles, different positions of the hole with cracks, and in-plane loadings on the statistics of mixed mode SIF with input random system parameters are analyzed.