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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The Japan Society of Mechanical Engineers
2015
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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) |
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elasticity stress concentration infinite strip eccentric circular hole in-plane bending analytical solution Mechanical engineering and machinery TJ1-1570 |
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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 |
_version_ |
1718409786685390848 |