Suppression of Brazier Effect in Multilayered Cylinders

When a straight hollow tube having circular cross-section is bent uniformly into an arc, the cross-section tends to ovalize or flatten due to the in-plane stresses induced by bending; this ovalization phenomenon is called the Brazier effect. The present paper is aimed at theoretical formulation of t...

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Main Authors: Hiroyuki Shima, Motohiro Sato, Sung-Jin Park
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in Condensed Matter Physics
Online Access:http://dx.doi.org/10.1155/2014/923896
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author Hiroyuki Shima
Motohiro Sato
Sung-Jin Park
author_facet Hiroyuki Shima
Motohiro Sato
Sung-Jin Park
author_sort Hiroyuki Shima
collection DOAJ
description When a straight hollow tube having circular cross-section is bent uniformly into an arc, the cross-section tends to ovalize or flatten due to the in-plane stresses induced by bending; this ovalization phenomenon is called the Brazier effect. The present paper is aimed at theoretical formulation of the Brazier effect observed in multilayered cylinders, in which a set of thin hollow cylinders are stacked concentrically about the common axis. The results indicate that mechanical couplings between stacked cylinders are found to yield pronounced suppression of the cross-sectional ovalization. Numerical computations have been performed to measure the degree of suppression in a quantitative manner and to explore how it is affected by the variations in the bending curvature, the number of stacked cylinders, and the interlayer coupling strength.
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language English
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series Advances in Condensed Matter Physics
spelling doaj-art-7286e80afb4d4465b97cf89419d976f02025-02-03T06:12:56ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242014-01-01201410.1155/2014/923896923896Suppression of Brazier Effect in Multilayered CylindersHiroyuki Shima0Motohiro Sato1Sung-Jin Park2Department of Environmental Sciences & Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi, 4-4-37 Takeda, Kofu, Yamanashi 400-8510, JapanDivision of Engineering and Policy for Sustainable Environment, Faculty of Engineering, Hokkaido University, Kita-13, Nishi-8, Sapporo, Hokkaido 060-8628, JapanDepartment of Urban and Environment Engineering, Incheon National University, 12-1 Songdo-dong, Yeonsu-gu, Incheon 406-772, Republic of KoreaWhen a straight hollow tube having circular cross-section is bent uniformly into an arc, the cross-section tends to ovalize or flatten due to the in-plane stresses induced by bending; this ovalization phenomenon is called the Brazier effect. The present paper is aimed at theoretical formulation of the Brazier effect observed in multilayered cylinders, in which a set of thin hollow cylinders are stacked concentrically about the common axis. The results indicate that mechanical couplings between stacked cylinders are found to yield pronounced suppression of the cross-sectional ovalization. Numerical computations have been performed to measure the degree of suppression in a quantitative manner and to explore how it is affected by the variations in the bending curvature, the number of stacked cylinders, and the interlayer coupling strength.http://dx.doi.org/10.1155/2014/923896
spellingShingle Hiroyuki Shima
Motohiro Sato
Sung-Jin Park
Suppression of Brazier Effect in Multilayered Cylinders
Advances in Condensed Matter Physics
title Suppression of Brazier Effect in Multilayered Cylinders
title_full Suppression of Brazier Effect in Multilayered Cylinders
title_fullStr Suppression of Brazier Effect in Multilayered Cylinders
title_full_unstemmed Suppression of Brazier Effect in Multilayered Cylinders
title_short Suppression of Brazier Effect in Multilayered Cylinders
title_sort suppression of brazier effect in multilayered cylinders
url http://dx.doi.org/10.1155/2014/923896
work_keys_str_mv AT hiroyukishima suppressionofbraziereffectinmultilayeredcylinders
AT motohirosato suppressionofbraziereffectinmultilayeredcylinders
AT sungjinpark suppressionofbraziereffectinmultilayeredcylinders