EXTENSION FINITE ELEMENT METHOD FOR STRUCTURAL FRACTURE BASED ON ELEMENT DECOMPOSITION

In this paper, an element decomposition based extended finite element method is proposed and employed to deal with the fracture analysis of structures. Firstly, the quadrilateral element with no enriched nodes is divided into four triangular sub-domains, and the local strain value at the center of the element is obtained by weighted average operation. Then, based on the local strain of the triangular sub-domain, the stability term of element stiffness matrix is further constructed. Finally, the element decomposition technique is applied to the analysis of the extended finite element method. Compared with the traditional extended finite element method, this method can effectively reduce the number of integration points, avoid complex isoparametric transformation and ensure higher accuracy for calculation of stress intensity factors.