Eccentric annular crack under general nonuniform internal pressure
For a better approximation of ring-shaped and toroidal cracks, a new eccentric annular crack model is proposed and an analytical approach for determination of the corresponding stress intensity factors is given. The crack is subjected to arbitrary mode I loading. A rigorous solution is provided by m...
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Format: | Article |
Language: | English |
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De Gruyter
2016-08-01
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Series: | Journal of the Mechanical Behavior of Materials |
Subjects: | |
Online Access: | https://doi.org/10.1515/jmbm-2016-0007 |
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author | Moeini-Ardakani S. Kamali M.T. Shodja H.M. |
author_facet | Moeini-Ardakani S. Kamali M.T. Shodja H.M. |
author_sort | Moeini-Ardakani S. |
collection | DOAJ |
description | For a better approximation of ring-shaped and toroidal cracks, a new eccentric annular crack model is proposed and an analytical approach for determination of the corresponding stress intensity factors is given. The crack is subjected to arbitrary mode I loading. A rigorous solution is provided by mapping the eccentric annular crack to a concentric annular crack. The analysis leads to two decoupled Fredholm integral equations of the second kind. For the sake of verification, the problem of a conventional annular crack is examined. Furthermore, for various crack configurations of an eccentric annular crack under uniform tension, the stress intensity factors pertaining to the inner and outer crack edges are delineated in dimensionless plots. |
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id | doaj.art-9ddeae10859c4e6eb79538b82cdca133 |
institution | Directory Open Access Journal |
issn | 0334-8938 2191-0243 |
language | English |
last_indexed | 2024-12-19T00:13:17Z |
publishDate | 2016-08-01 |
publisher | De Gruyter |
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series | Journal of the Mechanical Behavior of Materials |
spelling | doaj.art-9ddeae10859c4e6eb79538b82cdca1332022-12-21T20:45:57ZengDe GruyterJournal of the Mechanical Behavior of Materials0334-89382191-02432016-08-01253-4697610.1515/jmbm-2016-0007Eccentric annular crack under general nonuniform internal pressureMoeini-Ardakani S.0Kamali M.T.1Shodja H.M.2Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USADepartment of Civil Engineering, University of Hormozgan, Bandar Abbas 3995, IranDepartment of Civil Engineering, Sharif University of Technology, Tehran 11155-9313, Iran, Tel.: +98 21 66164209, Fax: +98 21 66072555For a better approximation of ring-shaped and toroidal cracks, a new eccentric annular crack model is proposed and an analytical approach for determination of the corresponding stress intensity factors is given. The crack is subjected to arbitrary mode I loading. A rigorous solution is provided by mapping the eccentric annular crack to a concentric annular crack. The analysis leads to two decoupled Fredholm integral equations of the second kind. For the sake of verification, the problem of a conventional annular crack is examined. Furthermore, for various crack configurations of an eccentric annular crack under uniform tension, the stress intensity factors pertaining to the inner and outer crack edges are delineated in dimensionless plots.https://doi.org/10.1515/jmbm-2016-0007annular crackintegral equationsthree-part mixed boundary value problem |
spellingShingle | Moeini-Ardakani S. Kamali M.T. Shodja H.M. Eccentric annular crack under general nonuniform internal pressure Journal of the Mechanical Behavior of Materials annular crack integral equations three-part mixed boundary value problem |
title | Eccentric annular crack under general nonuniform internal pressure |
title_full | Eccentric annular crack under general nonuniform internal pressure |
title_fullStr | Eccentric annular crack under general nonuniform internal pressure |
title_full_unstemmed | Eccentric annular crack under general nonuniform internal pressure |
title_short | Eccentric annular crack under general nonuniform internal pressure |
title_sort | eccentric annular crack under general nonuniform internal pressure |
topic | annular crack integral equations three-part mixed boundary value problem |
url | https://doi.org/10.1515/jmbm-2016-0007 |
work_keys_str_mv | AT moeiniardakanis eccentricannularcrackundergeneralnonuniforminternalpressure AT kamalimt eccentricannularcrackundergeneralnonuniforminternalpressure AT shodjahm eccentricannularcrackundergeneralnonuniforminternalpressure |