Thermo-mechanical fracture study of inhomogeneous cracked solids by the extended isogeometric analysis method

Abstract

Abstract The extended isogeometric analysis method (XIGA) is further developed to study fracture of homogeneous and inhomogeneous materials under mechanical and thermo-mechanical loadings. The domain of the problem is discretized by the knot spans of the isogeometric analysis (IGA) and the same basis functions used for constructing the geometry are employed to discretize the solution. In addition, crack face discontinuity and tip enrichment functions of the extended finite element method (XFEM) are incorporated into the NURBS basis functions of IGA in order to reproduce crack face displacement discontinuity and tip singularity of the stress field. The proper form of the interaction integral method in inhomogeneous materials and thermal conditions is employed to evaluate the mixed mode stress intensity factors. In order to assess the efficacy of the proposed approach, a number of problems with different configurations and loadings are analyzed and the results are verified by comparing with the reference values.