Stresses around an eccentric hole in an infinite strip subjected to in-plane bending

In this paper, we present an analytical solution for an infinite strip having an eccentric circular hole when the strip is subjected to in-plane bending at infinity. The analysis is based on the Papkovich-Neuber displacement potentials and the solution is obtained by a proper combination of harmonic...

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Autores principales: Tadashi HORIBE, Kouta SAKURAI, Yoshio ARAI, Kotaro MORI
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Lenguaje:EN
Publicado: The Japan Society of Mechanical Engineers 2015
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Acceso en línea:https://doaj.org/article/7e056e5b2686439ca5ce68a7a06a2c71
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spelling oai:doaj.org-article:7e056e5b2686439ca5ce68a7a06a2c712021-11-26T06:30:10ZStresses around an eccentric hole in an infinite strip subjected to in-plane bending2187-974510.1299/mej.15-00182https://doaj.org/article/7e056e5b2686439ca5ce68a7a06a2c712015-08-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/2/5/2_15-00182/_pdf/-char/enhttps://doaj.org/toc/2187-9745In this paper, we present an analytical solution for an infinite strip having an eccentric circular hole when the strip is subjected to in-plane bending at infinity. The analysis is based on the Papkovich-Neuber displacement potentials and the solution is obtained by a proper combination of harmonic function in integral forms and infinite series. The boundary conditions on both sides of the strip and around the hole are satisfied using the relations between the Cartesian and polar harmonics. The numerical results obtained are compared with those of FEM. A detailed stresses around the eccentric hole are illustrated for the various size of the eccentricity and the hole radius.Tadashi HORIBEKouta SAKURAIYoshio ARAIKotaro MORIThe Japan Society of Mechanical Engineersarticleelasticitystress concentrationinfinite stripeccentric circular holein-plane bendinganalytical solutionMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 2, Iss 5, Pp 15-00182-15-00182 (2015)
institution DOAJ
collection DOAJ
language EN
topic elasticity
stress concentration
infinite strip
eccentric circular hole
in-plane bending
analytical solution
Mechanical engineering and machinery
TJ1-1570
spellingShingle elasticity
stress concentration
infinite strip
eccentric circular hole
in-plane bending
analytical solution
Mechanical engineering and machinery
TJ1-1570
Tadashi HORIBE
Kouta SAKURAI
Yoshio ARAI
Kotaro MORI
Stresses around an eccentric hole in an infinite strip subjected to in-plane bending
description In this paper, we present an analytical solution for an infinite strip having an eccentric circular hole when the strip is subjected to in-plane bending at infinity. The analysis is based on the Papkovich-Neuber displacement potentials and the solution is obtained by a proper combination of harmonic function in integral forms and infinite series. The boundary conditions on both sides of the strip and around the hole are satisfied using the relations between the Cartesian and polar harmonics. The numerical results obtained are compared with those of FEM. A detailed stresses around the eccentric hole are illustrated for the various size of the eccentricity and the hole radius.
format article
author Tadashi HORIBE
Kouta SAKURAI
Yoshio ARAI
Kotaro MORI
author_facet Tadashi HORIBE
Kouta SAKURAI
Yoshio ARAI
Kotaro MORI
author_sort Tadashi HORIBE
title Stresses around an eccentric hole in an infinite strip subjected to in-plane bending
title_short Stresses around an eccentric hole in an infinite strip subjected to in-plane bending
title_full Stresses around an eccentric hole in an infinite strip subjected to in-plane bending
title_fullStr Stresses around an eccentric hole in an infinite strip subjected to in-plane bending
title_full_unstemmed Stresses around an eccentric hole in an infinite strip subjected to in-plane bending
title_sort stresses around an eccentric hole in an infinite strip subjected to in-plane bending
publisher The Japan Society of Mechanical Engineers
publishDate 2015
url https://doaj.org/article/7e056e5b2686439ca5ce68a7a06a2c71
work_keys_str_mv AT tadashihoribe stressesaroundaneccentricholeinaninfinitestripsubjectedtoinplanebending
AT koutasakurai stressesaroundaneccentricholeinaninfinitestripsubjectedtoinplanebending
AT yoshioarai stressesaroundaneccentricholeinaninfinitestripsubjectedtoinplanebending
AT kotaromori stressesaroundaneccentricholeinaninfinitestripsubjectedtoinplanebending
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