O-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape

The numerical scheme of the O-integral is formulated for precisely evaluating the stress intensity factor of an embedded crack with arbitrary shape in an infinite elastic body. In this study, we evaluate the O-integral using an efficient numerical integration method by introducing an iso-parametric...

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Autores principales:	Masayuki ARAI, Seiya SOTA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2021
Materias:	three-dimensional crack stress intensity factor weight function o-integral fatigue crack propagation Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/ef865c206ba744688db3189154defda1
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id	oai:doaj.org-article:ef865c206ba744688db3189154defda1
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spelling	oai:doaj.org-article:ef865c206ba744688db3189154defda12021-11-29T06:09:58ZO-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape2187-974510.1299/mej.21-00132https://doaj.org/article/ef865c206ba744688db3189154defda12021-06-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/8/4/8_21-00132/_pdf/-char/enhttps://doaj.org/toc/2187-9745The numerical scheme of the O-integral is formulated for precisely evaluating the stress intensity factor of an embedded crack with arbitrary shape in an infinite elastic body. In this study, we evaluate the O-integral using an efficient numerical integration method by introducing an iso-parametric element and the Gauss-Legendre formula, which is typically used in the finite element method. To verify the numerical procedure introduced herein, the mode-I stress intensity factors for cracks are evaluated based on a circle, an ellipse, and a perturbated circle cracks. Result shows that the K results obtained using the proposed method are consistent with the exact solution. Therefore, fatigue crack propagation is successfully simulated using the O-integral for the elliptical crack.Masayuki ARAISeiya SOTAThe Japan Society of Mechanical Engineersarticlethree-dimensional crackstress intensity factorweight functiono-integralfatigue crack propagationMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 8, Iss 4, Pp 21-00132-21-00132 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	three-dimensional crack stress intensity factor weight function o-integral fatigue crack propagation Mechanical engineering and machinery TJ1-1570
spellingShingle	three-dimensional crack stress intensity factor weight function o-integral fatigue crack propagation Mechanical engineering and machinery TJ1-1570 Masayuki ARAI Seiya SOTA O-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape
description	The numerical scheme of the O-integral is formulated for precisely evaluating the stress intensity factor of an embedded crack with arbitrary shape in an infinite elastic body. In this study, we evaluate the O-integral using an efficient numerical integration method by introducing an iso-parametric element and the Gauss-Legendre formula, which is typically used in the finite element method. To verify the numerical procedure introduced herein, the mode-I stress intensity factors for cracks are evaluated based on a circle, an ellipse, and a perturbated circle cracks. Result shows that the K results obtained using the proposed method are consistent with the exact solution. Therefore, fatigue crack propagation is successfully simulated using the O-integral for the elliptical crack.
format	article
author	Masayuki ARAI Seiya SOTA
author_facet	Masayuki ARAI Seiya SOTA
author_sort	Masayuki ARAI
title	O-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape
title_short	O-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape
title_full	O-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape
title_fullStr	O-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape
title_full_unstemmed	O-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape
title_sort	o-integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape
publisher	The Japan Society of Mechanical Engineers
publishDate	2021
url	https://doaj.org/article/ef865c206ba744688db3189154defda1
work_keys_str_mv	AT masayukiarai ointegralevaluationforstressintensityfactorofthreedimensionalplanarcrackwitharbitraryshape AT seiyasota ointegralevaluationforstressintensityfactorofthreedimensionalplanarcrackwitharbitraryshape
_version_	1718407621279481856

O-Integral evaluation for stress intensity factor of three-dimensional planar-crack with arbitrary shape

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