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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Main Authors: Chia-Huei Tu, Jia-Jyun Dong, Chao-Shi Chen, Chien-Chung Ke, Jyun-Yong Jhan, Hsien Jui Yu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/721656
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spelling 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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