Open Access

ARTICLE

RKPM Approach to Elastic-Plastic Fracture Mechanics with Notes on Particles Distribution and Discontinuity Criteria

Mohammad Mashayekhi¹, Hossein M. Shodja^1,2, Reza Namakian¹

1 Center of Excellence in Structures and Earthquake Engineering, Department of Civil Engineering, Sharif University of Technology, P. O. Box 11155-9313, Tehran, Iran
2 Institute for Nanoscience and Nanotechnology, Sharif University of Technology, P. O. Box, 11155-9161, Tehran, Iran

Computer Modeling in Engineering & Sciences 2011, 76(1), 19-60. https://doi.org/10.3970/cmes.2011.076.019

Abstract

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).

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Keywords

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