Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic Bimaterial
This paper presents a 2D numerical technique based on the boundary element method (BEM) for the analysis of linear elastic fracture mechanics (LEFM) problems on stress intensity factors (SIFs) involving anisotropic bimaterials. The most outstanding feature of this analysis is that it is a singledoma...
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2013-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2013/721656 |
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doaj-54f80aaa231049e2ac8dc407d68d83312020-11-24T22:50:35ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/721656721656Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic BimaterialChia-Huei Tu0Jia-Jyun Dong1Chao-Shi Chen2Chien-Chung Ke3Jyun-Yong Jhan4Hsien Jui Yu5Department of Resources Engineering, National Cheng Kung University, No. 1 University Road, Tainan City 70101, TaiwanGraduate Institute of Applied Geology, National Central University, No. 300 Jhongda Road, Jhongli City 32001, TaiwanDepartment of Resources Engineering, National Cheng Kung University, No. 1 University Road, Tainan City 70101, TaiwanGeotechnical Engineering Research Center, Sinotech Engineering Consultants, Inc., Taipei 110, TaiwanDepartment of Resources Engineering, National Cheng Kung University, No. 1 University Road, Tainan City 70101, TaiwanDepartment of Resources Engineering, National Cheng Kung University, No. 1 University Road, Tainan City 70101, TaiwanThis paper presents a 2D numerical technique based on the boundary element method (BEM) for the analysis of linear elastic fracture mechanics (LEFM) problems on stress intensity factors (SIFs) involving anisotropic bimaterials. The most outstanding feature of this analysis is that it is a singledomain method, yet it is very accurate, efficient, and versatile (i.e., the material properties of the medium can be anisotropic as well as isotropic). A computer program using the BEM formula translation (FORTRAN 90) code was developed to effectively calculate the stress intensity factors (SIFs) in an anisotropic bi-material. This BEM program has been verified and showed good accuracy compared with the previous studies. Numerical examples of stress intensity factor calculation for a straight crack with various locations in both finite and infinite bimaterials are presented. It was found that very accurate results can be obtained using the proposed method, even with relatively simple discretization. The results of the numerical analysis also show that material anisotropy can greatly affect the stress intensity factor.http://dx.doi.org/10.1155/2013/721656 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chia-Huei Tu Jia-Jyun Dong Chao-Shi Chen Chien-Chung Ke Jyun-Yong Jhan Hsien Jui Yu |
spellingShingle |
Chia-Huei Tu Jia-Jyun Dong Chao-Shi Chen Chien-Chung Ke Jyun-Yong Jhan Hsien Jui Yu Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic Bimaterial Mathematical Problems in Engineering |
author_facet |
Chia-Huei Tu Jia-Jyun Dong Chao-Shi Chen Chien-Chung Ke Jyun-Yong Jhan Hsien Jui Yu |
author_sort |
Chia-Huei Tu |
title |
Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic Bimaterial |
title_short |
Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic Bimaterial |
title_full |
Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic Bimaterial |
title_fullStr |
Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic Bimaterial |
title_full_unstemmed |
Two-Dimensional Stress Intensity Factor Analysis of Cracks in Anisotropic Bimaterial |
title_sort |
two-dimensional stress intensity factor analysis of cracks in anisotropic bimaterial |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2013-01-01 |
description |
This paper presents a 2D numerical technique based on the boundary element method (BEM) for the analysis of linear elastic fracture mechanics (LEFM) problems on stress intensity factors (SIFs) involving anisotropic bimaterials. The most outstanding feature of this analysis is that it is a singledomain method, yet it is very accurate, efficient, and versatile (i.e., the material properties of the medium can be anisotropic as well as isotropic). A computer program using the BEM formula translation (FORTRAN 90) code was developed to effectively calculate the stress intensity factors (SIFs) in an anisotropic bi-material. This BEM program has been verified and showed good accuracy compared with the previous studies. Numerical examples of stress intensity factor calculation for a straight crack with various locations in both finite and infinite bimaterials are presented. It was found that very accurate results can be obtained using the proposed method, even with relatively simple discretization. The results of the numerical analysis also show that material anisotropy can greatly affect the stress intensity factor. |
url |
http://dx.doi.org/10.1155/2013/721656 |
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