Modeling and Analysis of Fracture Problems Using Meshless Methods

In this article, the Radial point interpolation method (RPIM) and Element free galerkin method (EFGM) are used to model fracture problems by introducing the intrinsic basis functions to obtain the Stress Intensity Factor (SIF). The study has been conducted to compare the accuracy of SIF and the computational cost by enriching the nodes and background mesh. The problem is solved for different values of crack size to width ratio. The SIF comparison is done to edge and center crack problems for 4 different cases (1) without enrichment, (2) with just background mesh refinement, (3) with just nodal refinement and (4) with background mesh and nodal refinement. Based on the study, comparative table of different cases is presented along with the error analysis based on the analytical SIF values.