A study on reproducibility of priori knowledge in crack annalisis by the xfem

The XFEM is the numerical method which employs the approximation including priori knowledge of the solution by using the concept of enrichment in a local area. In this paper, reproducibility of priori knowledge in the standard XFEM and the PUFEM-based XFEM (PU-XFEM) reformulated by authors for the crack analysis is evaluated, respectively. The results show that there is a significant reduction in the reproducibility of priori knowledge in the local enrichment area near the crack tip for the standard XFEM. On the other hand, it is shown that the priori knowledge can be accurately reproduced in the PU-XFEM.