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...

Full description

Bibliographic Details
Main Authors: Moeini-Ardakani S., Kamali M.T., Shodja H.M.
Format: Article
Language:English
Published: De Gruyter 2016-08-01
Series:Journal of the Mechanical Behavior of Materials
Subjects:
Online Access:https://doi.org/10.1515/jmbm-2016-0007
_version_ 1818825533321904128
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.
first_indexed 2024-12-19T00:13:17Z
format Article
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
record_format Article
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