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 | |
| 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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Cite this
Elgindi, M. B., Wei, D., Liu, Y., Kamran, K., & Xu, H. (2014). Buckling and deformation of Hollomon's power-law tubes. Thin-Walled Structures, 74, 213-221. https://doi.org/10.1016/j.tws.2013.10.007