Bifurcation theory applied to buckling states of a cylindrical shell

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995 English Publisher:Springer Science and Business Media LLCJournal:ZAMP Zeitschrift f�r angewandte Mathematik und Physik, volume 46, pages 149-155 (issn: 0044-2275, eissn: 1420-9039,

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Authors: J. Chaskalovic; S. Naili;

doi: 10.1007/bf00952261

Bifurcation theory applied to buckling states of a cylindrical shell

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Abstract

Inextensible elastic tubes are subjected to a uniform external pressure. Their stability is analysed on the basis of the Lyapunov-Schmidt decomposition and the bifurcation theorem of simple multiplicity. Nontrivial solutions have been found for the critical values of pressure.

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Keywords

Lyapunov-Schmidt decomposition, simple multiplicity, Membranes, Bifurcation and buckling, Biomechanical solid mechanics, uniform external pressure, critical pressure

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