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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Main Authors: ZHU QingYu, SONG Bo, ZENG ZhaoYang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2019-01-01
Series:Jixie qiangdu
Subjects:
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.
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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