Open Access

ABSTRACT

Analysis of a crack problem via RKPM and GRKPM and a note on particle volume

Mani Khezri¹, Alireza Hashemian¹, Hossein M. Shodja^1,2,3

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
3 Corresponding author; Tel: (+98-21) 6616-4209; Fax: (+98-21) 6607-2555. E-mail addresses: man.khez@gmail.com (M. Khezri), al.hash@gmail.com (A. Hashemian), shodja@sharif.edu (H. M.Shodja).

The International Conference on Computational & Experimental Engineering and Sciences 2009, 11(4), 99-108. https://doi.org/10.3970/icces.2009.011.099

Abstract

Meshless methods using kernel approximation like reproducing kernel particle method (RKPM) and gradient RKPM (GRKPM) generally use a set of particles to discretize the subjected domain. One of the major steps in discretization procedure is determination of associated volumes particles. In a non-uniform or irregular configuration of particles, determination of these volumes comprises some difficulties. This paper presents a straightforward numerical method for determination of related volumes and conducts a survey on influence of different assumption about computing the volume for each particle. Stress intensity factor (SIF) as a major representing parameter in fracture of solids is calculated by employing meshless methods for an edge-cracked plate under first mode loading condition which is one of the benchmark problems in fracture mechanics. The obtained results are compared using an analysis in terms of dilation parameter.

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Keywords

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