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 - 2014 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
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
Y1 - 2014
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
UR - http://www.scopus.com/inward/record.url?scp=84887118304&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84887118304&partnerID=8YFLogxK
U2 - 10.1016/j.tws.2013.10.007
DO - 10.1016/j.tws.2013.10.007
M3 - Article
VL - 74
SP - 213
EP - 221
JO - Thin-Walled Structures
JF - Thin-Walled Structures
SN - 0263-8231
ER -