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- Title
A New Method for Searching the Enrichment Element in Extended Finite Element Method.
- Authors
Xiaofang Jiang; Zhenghong Huang; Rui Luo; Hong Zuo; Xing Zheng; Shouchun Deng
- Abstract
Considering the characteristics of the structured mesh in the extended finite element method (XFEM), a new method is proposed to accurately search the enrichment element, which can determine enrichment type and simultaneously obtain the intersection position between the crack and the element boundary. Importantly, this intersection position information can guarantee accuracy when calculating the discontinuity element’s stiffness matrix. In the new method, considering only the nodes of the enrichment elements, computation speed is increased and storage consumption is lower than that of the level set method (LSM). Numerical simulations were used to verify the advantages of the proposed method over the LSM for higher algorithm accuracy, higher computing efficiency, and lower storage consumption, and to explore the potential for efficient computing in three-dimensional (3D) situations. In addition, the feasibility of using the new method for efficient computation in 3D cases was verified.
- Subjects
FINITE element method; LEVEL set methods; ALGORITHMS
- Publication
IAENG International Journal of Applied Mathematics, 2020, Vol 50, Issue 3, p59
- ISSN
1992-9978
- Publication type
Article