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  4. Analysis of mode III elastodynamic cracked plane using the fractal two-level finite element method
 
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Analysis of mode III elastodynamic cracked plane using the fractal two-level finite element method

Author(s)
Leung, Andrew Yee Tak  
Author(s)
Fan, J.
Lee, Y. Y.
Date Issued
2010
Publisher
American Institute of Physics
Related Publication(s)
Proceedings of the 2nd International Symposium on Computational Mechanics and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science
Volume
1233
Start page
947
End page
951
Abstract
In this study, the fractal two‐level finite element method, which has mainly been used for static cracked plane problems, is applied to the cracked plane problem. Using the transformation process in the proposed method, the infinite dimension of the finite element matrices that are assembled for a singular region is made finite in terms of the dynamics stress intensity factors directly, and thus the computational time can be reduced significantly. The Newmark time integration scheme is then used to obtain the dynamic stress intensity factors. The results from the proposed method are in reasonable agreement with those of classical methods. The main drawback of the time integration scheme is that numerical oscillations are induced in some cases.
URI
https://repository.sfu.edu.hk/handle/sfu/2780
DOI
10.1063/1.3452307
SFU Affiliated Publication
No
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