Elastic Buckling of Thin-Walled Polyhedral Pipe Liners Encased in a Circular Pipe under Uniform External Pressure


In this study, a thin-walled polyhedral polymer pipe liner is proposed for the internal rehabilitation of a deteriorated/cracked underground circular metal pipe. The pipe liner is externally confined and subjected to the hydrostatic pressure of water seeped through the cracked pipe. The critical buckling pressure of the pipe liner is derived analytically based on the principle of minimum potential energy and compared with that of a cylindrical pipe liner. A finite element model of the pipe liner is established and analyzed to understand pressure-deformation equilibrium paths and the stability of post-buckling behavior. The analytical buckling pressure is in excellent agreement with the numerical results. The buckling pressure of a polyhedral liner increases with the increase of thickness-to-radius ratio and the decrease of the number of sides in polygon base shape. In comparison with the cylindrical liner, the polyhedral liner can increase buckling pressure up to 10 times but result in a less stable post-buckling behavior.


Civil, Architectural and Environmental Engineering


Financial support for this study was provided in part by the Department of Civil, Architectural, and Environmental Engineering through Robert W. Abbett endowment funds and by the U.S.Department of Transportation Office of the Assistant Secretary for Research and Technology (USDOT/OST-R) under CooperativeAgreement No. OASRTRS-14-H-MST.

Keywords and Phrases

Finite element method; Hydrostatic pressure; Patient rehabilitation; Pipes; Pipe linings; Potential energy; Thin walled structures; Buckling pressure; Critical buckling pressures; Polyhedral shapes; Postbuckling behavior; Pressure deformation; Principle of minimum potential energy; Thin-walled; Uniform external pressure; Buckling; Rehabilitation; Thin-walled liners

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Article - Journal

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© 2018 Elsevier, All rights reserved.

Publication Date

01 Feb 2018