Geometrical analysis of large elastic deflections of axially compressed cylindrical and conical shells

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Abstract

This paper presents an analysis of the post-buckling behaviour of isotropic cylindrical and conical shells under axial compression. The starting point of the paper is Lagrange's variational principle, the application of which consists in assuming a kinematically admissible strain and displacement field. The field is determined considering the geometry of quasi-isometric deformations of the shell after buckling. That permits solving the problem with no limitation on the magnitude of the displacements. © 1979.

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Lukasiewicz, S., & Szyszkowski, W. (1979). Geometrical analysis of large elastic deflections of axially compressed cylindrical and conical shells. International Journal of Non-Linear Mechanics, 14(5–6), 273–284. https://doi.org/10.1016/0020-7462(79)90001-5

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