A hypothesis for the prediction of the circumferential wavenumber of buckling ofthe thin axially-compressed cylindrical shell is presented, based on the addition of a length effect to the classical (Koiter circle) critical load result. Checks against physical and numerical experiments, both by direct comparison of wavenumbers and via a scaling law, provide strong evidence that the hypothesis is correct.

Nonlinear elliptic equations (msc 35J60), PDEs in connection with mechanics of particles and systems (msc 35Q70), PDEs in connection with mechanics of deformable solids (msc 35Q74)
Modelling, Analysis and Simulation [MAS]

Hunt, G.W, Lord, G.J, & Peletier, M.A. (2002). Cylindrical shell buckling: a characterization of localization and periodicity. Modelling, Analysis and Simulation [MAS]. CWI.