Buckling and collapse of heavy tubes resting on a horizontal or inclined plane

Blyth, Mark G. and Pozrikidis, C. (2002) Buckling and collapse of heavy tubes resting on a horizontal or inclined plane. European Journal of Mechanics - A/Solids, 21 (5). pp. 831-843.

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Abstract

The buckling and collapse of empty and liquid-filled thin-wall cylindrical tubes resting on a horizontal or inclined plane is considered. The deflection is due to the action of gravity causing the tube to deform under the influence of its own weight, or due to a negative transmural pressure pushing the tube inward on the outside. Classical thin-membrane theory is used to formulate a boundary-value problem describing the shell deformation, and the results illustrate families of deformed shapes of inextensible shells with point or segment contact occurring between the shell and the supporting surface or between two collapsed sections of the shell. The computed two-dimensional deformed shapes are used to reconstruct the three-dimensional shape of a slowly collapsing fluid-conveying vessel in the absence of significant hydrostatic pressure variations over the cross section.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 10:11
Last Modified: 15 Dec 2022 01:38
URI: https://ueaeprints.uea.ac.uk/id/eprint/19857
DOI: 10.1016/S0997-7538(02)01235-4

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