Buckling and deformation of Hollomon's power-law tubes

Mohamad B. Elgindi; Dongming Wei; Yu Liu; Khurram Kamran; Hailan Xu

doi:10.1016/j.tws.2013.10.007

Buckling and deformation of Hollomon's power-law tubes

Mohamad B. Elgindi, Dongming Wei, Yu Liu, Khurram Kamran, Hailan Xu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

A long, thin, inextensible cylindrical tube made of Hollomon's power-law material acted upon by a uniform normal pressure is considered. The nonlinear boundary value problem that governs the equilibrium states of such a tube is formulated as a differential system of equations. Perturbation solutions are obtained for the cases of small pressure values in the neighborhood of the critical buckling pressures. Numerical solutions based on a special initial value problem Matlab solver, Newton's and shooting methods are obtained. The results show that a high strength material tube deforms similarly to an elastic material tube for values of strain hardening exponent.

Original language	English
Pages (from-to)	213-221
Number of pages	9
Journal	Thin-Walled Structures
Volume	74
DOIs	https://doi.org/10.1016/j.tws.2013.10.007
Publication status	Published - Jan 1 2014

Keywords

Buckling and post-buckling
Deformation of circular rings
Deformation of cylindrical tubes
Differential system of equations
High strength material
Hollomon power-law

ASJC Scopus subject areas

Civil and Structural Engineering
Building and Construction
Mechanical Engineering

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title = "Buckling and deformation of Hollomon's power-law tubes",

abstract = "A long, thin, inextensible cylindrical tube made of Hollomon's power-law material acted upon by a uniform normal pressure is considered. The nonlinear boundary value problem that governs the equilibrium states of such a tube is formulated as a differential system of equations. Perturbation solutions are obtained for the cases of small pressure values in the neighborhood of the critical buckling pressures. Numerical solutions based on a special initial value problem Matlab solver, Newton's and shooting methods are obtained. The results show that a high strength material tube deforms similarly to an elastic material tube for values of strain hardening exponent.",

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author = "Elgindi, {Mohamad B.} and Dongming Wei and Yu Liu and Khurram Kamran and Hailan Xu",

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T1 - Buckling and deformation of Hollomon's power-law tubes

AU - Elgindi, Mohamad B.

AU - Wei, Dongming

AU - Liu, Yu

AU - Kamran, Khurram

AU - Xu, Hailan

PY - 2014/1/1

Y1 - 2014/1/1

N2 - A long, thin, inextensible cylindrical tube made of Hollomon's power-law material acted upon by a uniform normal pressure is considered. The nonlinear boundary value problem that governs the equilibrium states of such a tube is formulated as a differential system of equations. Perturbation solutions are obtained for the cases of small pressure values in the neighborhood of the critical buckling pressures. Numerical solutions based on a special initial value problem Matlab solver, Newton's and shooting methods are obtained. The results show that a high strength material tube deforms similarly to an elastic material tube for values of strain hardening exponent.

AB - A long, thin, inextensible cylindrical tube made of Hollomon's power-law material acted upon by a uniform normal pressure is considered. The nonlinear boundary value problem that governs the equilibrium states of such a tube is formulated as a differential system of equations. Perturbation solutions are obtained for the cases of small pressure values in the neighborhood of the critical buckling pressures. Numerical solutions based on a special initial value problem Matlab solver, Newton's and shooting methods are obtained. The results show that a high strength material tube deforms similarly to an elastic material tube for values of strain hardening exponent.

KW - Buckling and post-buckling

KW - Deformation of circular rings

KW - Deformation of cylindrical tubes

KW - Differential system of equations

KW - High strength material

KW - Hollomon power-law

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Buckling and deformation of Hollomon's power-law tubes

Abstract

Keywords

ASJC Scopus subject areas

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