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  4. The evaluation of stress intensity factors of plane crack for orthotropic plate with equal parameter by F2LFEM
 
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The evaluation of stress intensity factors of plane crack for orthotropic plate with equal parameter by F2LFEM

Author(s)
Leung, Andrew Yee Tak  
Author(s)
Fan, J.
Zhang, X.
Zhong, W.
Date Issued
2006
Publisher
Springer
Journal
Acta Mechanica Solida Sinica
Volume
19
Issue
2
Start page
128
End page
134
Abstract
In this paper, the evaluation of stress intensity factor of plane crack problems for orthotropic plate of equal-parameter is investigated using a fractal two-level finite element method (F2LFEM). The general solution of an orthotropic crack problem is obtained by assimilating the problem with isotropic crack problem, and is employed as the global interpolation function in F2LFEM. In the neighborhood of crack tip of the crack plate, the fractal geometry concept is introduced to achieve the similar meshes having similarity ratio less than one and generate an infinitesimal mesh so that the relationship between the stiffness matrices of two adjacent layers is equal. A large number of degrees of freedom around the crack tip are transformed to a small set of generalized coordinates. Numerical examples show that this method is efficient and accurate in evaluating the stress intensity factor (SIF).
URI
https://repository.sfu.edu.hk/handle/sfu/2638
DOI
10.1007/s10338-006-0615-7
SFU Affiliated Publication
No
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