Evaluation on reproduction of priori knowledge in XFEM

The XFEM is a numerical method which employs an approximation including the priori knowledge of the solution by using the concept of enrichment in a local area. In this paper, the reproductions of the priori knowledge in the original XFEM and the PUFEM-based XFEM for the crack analysis were evaluated, respectively. The results showed that there is a serious lack of the reproduction of the priori knowledge in the local enrichment area close to the crack tip in case of the original XFEM. On the other hand, it was shown that the priori knowledge can be accurately reproduced over the entire enrichment in the PUFEM-based XFEM.