TY - EJOU AU - Mashayekhi, Mohammad AU - Shodja, Hossein M. AU - Namakian, Reza TI - RKPM Approach to Elastic-Plastic Fracture Mechanics with Notes on Particles Distribution and Discontinuity Criteria T2 - Computer Modeling in Engineering \& Sciences PY - 2011 VL - 76 IS - 1 SN - 1526-1506 AB - A meshless method called reproducing kernel particle method (RKPM) is exploited to cope with elastic-plastic fracture mechanics (EPFM) problems. The idea of arithmetic progression is assumed to place particles within the refinement zone in the vicinity of the crack tip. A comparison between two conventional treatments, visibility and diffraction, to crack discontinuity is conducted. Also, a tracking to find the appropriate diffraction parameter is performed. To assess the suggestions made, two mode I numerical simulations, pure tension and pure bending tests, are executed. Results including J integral, crack mouth opening displacement (CMOD), and plastic zone size and shape are compared with finite element method (FEM). KW - Meshless KW - Reproducing kernel particle method (RKPM) KW - Elastic-plastic fracture mechanics (EPFM) KW - Progression KW - Visibility KW - Diffraction KW - J integral KW - Crack mouth opening displacement (CMOD) KW - Plastic zone DO - 10.3970/cmes.2011.076.019