An enrichment based new criterion for the simulation of multiple interacting cracks using element free Galerkin method

摘要

This paper presents a new intrinsic enriched element free Galerkin method (EFGM) criterion for the simulation of multiple interacting crack problems. The principle attraction of the proposed criterion lies in its ability to handle multiple cracks of equal/unequal lengths. According to this proposed criterion, few modifications are made in standard intrinsic enriched EFGM criterion to solve multiple interacting cracks lying on the same as well as on the opposite face under plane stress conditions. The values of mode-I and mode-II stress intensity factors have been evaluated using domain based interaction integral approach. The modeling capabilities and accuracy of the proposed criterion has been demonstrated by comparing the results with those obtained by FEM. The proposed enrichment criterion has been found quite capable in analyzing crack growth as well as equal or unequal size multiple cracks.