Buckling and deformation of Hollomon's power-law tubes

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)213-221
Number of pages9
JournalThin-Walled Structures
Volume74
DOIs
Publication statusPublished - 2014
Externally publishedYes

Fingerprint

Buckling
Initial value problems
Strain hardening
Boundary value problems

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

  • Mechanical Engineering
  • Building and Construction
  • Civil and Structural Engineering

Cite this

Buckling and deformation of Hollomon's power-law tubes. / Elgindi, Mohamad B.; Wei, Dongming; Liu, Yu; Kamran, Khurram; Xu, Hailan.

In: Thin-Walled Structures, Vol. 74, 2014, p. 213-221.

Research output: Contribution to journalArticle

Elgindi, Mohamad B. ; Wei, Dongming ; Liu, Yu ; Kamran, Khurram ; Xu, Hailan. / Buckling and deformation of Hollomon's power-law tubes. In: Thin-Walled Structures. 2014 ; Vol. 74. pp. 213-221.
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AU - Liu, Yu

AU - Kamran, Khurram

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