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Buckling and post-buckling of a nonlinearly elastic column
Brojan, Miha (Author), Pukšič, Andrej (Author), Kosel, Franc (Author)

URLURL - Presentation file, Visit http://dx.doi.org/10.1002/zamm.200710333 This link opens in a new window

Abstract
The classical problem of buckling of an inextensible elastic column, under theaction of a compressive force is examined. The column is made of nonlinearly elastic material for which the stress-strain relation is represented by the Ludwick constitutive law. An approximative formula for determination of the force at immediate post-buckling is given. Further post-buckling solutions are obtained for different values of the nonlinearity parameter by numerical integration using the Runge-Kutta-Fehlberg algorithm, and are presented in non-dimensional diagrams. It is shown that no bifurcation point is found in the case of nonlinearly elastic column.

Language:English
Keywords:stabilnost, nelinearnost materialov, bifurkacije, obremenitve, uklon, stability, post-buckling, material nonlinearity, large deflections, critical forces, bifurcations, limit load, finite disturbance buckling
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:FS - Faculty of Mechanical Engineering
Year:2007
Number of pages:str. 518-527
Numbering:Letn. 87, št. 7
UDC:539.384
ISSN on article:0044-2267
COBISS.SI-ID:10111003 Link is opened in a new window
Views:348
Downloads:260
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Record is a part of a journal

Title:Zeitschrift für angewandte Mathematik und Mechanik
Shortened title:Z. angew. Math. Mech.
Publisher:Wiley-VCH
ISSN:0044-2267
COBISS.SI-ID:767748 This link opens in a new window

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