RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACE
The purpose of this paper is to research problems of cracks at a circular hole, which is a common crack configuration in aircraft structures. The Muskhelishvili complex function method and the Cauchy integral method are combined to develop crack surface displacement equation for two cracks with arbi...
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Format: | Article |
Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2019-01-01
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Series: | Jixie qiangdu |
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Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.03.033 |
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author | ZHU QingYu SONG Bo ZENG ZhaoYang |
author_facet | ZHU QingYu SONG Bo ZENG ZhaoYang |
author_sort | ZHU QingYu |
collection | DOAJ |
description | The purpose of this paper is to research problems of cracks at a circular hole, which is a common crack configuration in aircraft structures. The Muskhelishvili complex function method and the Cauchy integral method are combined to develop crack surface displacement equation for two cracks with arbitrary length emanating from a circular hole in an infinite plate under pressure on part of crack surface, and calculate the crack-surface opening displacements for two cracks with arbitrary length emanating from a circular hole. When two cracks are symmetric, the calculated results were compared with the weight function method, the maximal relative error is 16.21%. The results show that the complex variable function method and the Cauchy integral method used to calculate crack surface opening displacements can be applied for two-symmetric(or asymmetric) cracks emanating from a circular hole in an infinite plate. The present study provides a research foundation for fatigue crack closure and crack opening stress analysis for double cracks with arbitrary length emanating from a circular hole. |
format | Article |
id | doaj-art-45b932cccb2b46f6a5b44c5f3626c477 |
institution | Kabale University |
issn | 1001-9669 |
language | zho |
publishDate | 2019-01-01 |
publisher | Editorial Office of Journal of Mechanical Strength |
record_format | Article |
series | Jixie qiangdu |
spelling | doaj-art-45b932cccb2b46f6a5b44c5f3626c4772025-01-15T02:29:55ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692019-01-014171371730604843RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACEZHU QingYuSONG BoZENG ZhaoYangThe purpose of this paper is to research problems of cracks at a circular hole, which is a common crack configuration in aircraft structures. The Muskhelishvili complex function method and the Cauchy integral method are combined to develop crack surface displacement equation for two cracks with arbitrary length emanating from a circular hole in an infinite plate under pressure on part of crack surface, and calculate the crack-surface opening displacements for two cracks with arbitrary length emanating from a circular hole. When two cracks are symmetric, the calculated results were compared with the weight function method, the maximal relative error is 16.21%. The results show that the complex variable function method and the Cauchy integral method used to calculate crack surface opening displacements can be applied for two-symmetric(or asymmetric) cracks emanating from a circular hole in an infinite plate. The present study provides a research foundation for fatigue crack closure and crack opening stress analysis for double cracks with arbitrary length emanating from a circular hole.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.03.033Hole edge cracksCrack surface opening displacementComplex variable function methodConformal mapsPartially loaded crack |
spellingShingle | ZHU QingYu SONG Bo ZENG ZhaoYang RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACE Jixie qiangdu Hole edge cracks Crack surface opening displacement Complex variable function method Conformal maps Partially loaded crack |
title | RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACE |
title_full | RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACE |
title_fullStr | RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACE |
title_full_unstemmed | RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACE |
title_short | RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACE |
title_sort | research of opening displacements for two cracks emanating from a circular hole in an infinite plate under pressure on part of crack surface |
topic | Hole edge cracks Crack surface opening displacement Complex variable function method Conformal maps Partially loaded crack |
url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.03.033 |
work_keys_str_mv | AT zhuqingyu researchofopeningdisplacementsfortwocracksemanatingfromacircularholeinaninfiniteplateunderpressureonpartofcracksurface AT songbo researchofopeningdisplacementsfortwocracksemanatingfromacircularholeinaninfiniteplateunderpressureonpartofcracksurface AT zengzhaoyang researchofopeningdisplacementsfortwocracksemanatingfromacircularholeinaninfiniteplateunderpressureonpartofcracksurface |