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

Mohammad Mashayekhi1, Hossein M. Shodja1,2, Reza Namakian1
Center of Excellence in Structures and Earthquake Engineering, Department of Civil Engineering, Sharif University of Technology, P. O. Box 11155-9313, Tehran, Iran
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).

Keywords

Meshless, Reproducing kernel particle method (RKPM), Elastic-plastic fracture mechanics (EPFM), Progression, Visibility, Diffraction, J integral, Crack mouth opening displacement (CMOD), Plastic zone.

Cite This Article

Mashayekhi, M., Shodja, H. M., Namakian, R. (2011). RKPM Approach to Elastic-Plastic Fracture Mechanics with Notes on Particles Distribution and Discontinuity Criteria. CMES-Computer Modeling in Engineering & Sciences, 76(1), 19–60.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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