کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
309030 | 513576 | 2014 | 9 صفحه PDF | دانلود رایگان |
• Cylindrical tube made of Hollomon's power-law material acted upon by a uniform normal pressure is analyzed.
• The nonlinear boundary value problem that governs the equilibrium states is formulated as a differential system of equations.
• Perturbation solutions are obtained for pressure values in neighborhood of the critical buckling pressures.
• Numerical solutions are developed.
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.
Journal: Thin-Walled Structures - Volume 74, January 2014, Pages 213–221