Non-axisymmetric buckling and post-critical behaviour of elastic spherical shells in the case of a double critical value of the load

DOI10.1016/0021-8928(83)90095-3zbMath0546.73038OpenAlexW2012904268MaRDI QIDQ798054

Leonid S. Srubshchik

Publication date: 1984

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90095-3

zbMATH Keywords

perturbation methoduniform external pressureinitial post-critical behaviourclosed framed edgefixed hinge-supported edgefree clamped edgemethod of alignmentnon-axisymmetric bucklingshallow elastic spherical shellssmall geometric imperfections

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Membranes (74K15)

Related Items (2)

Influence of initial imperfections on the buckling of orthotropic truncated spherical and conical shells ⋮ Non-axisymmetric buckling of shallow spherical shells

Cites Work

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• Influence of initial imperfections on the buckling of elastic shells under multiple critical loads
• Asymptotic analysis of nonaxisymmetric equilibrium modes of a thin shallow spherical shell
• Secondary edge effect in the bending of thin elastic shells
• A perturbation analysis of mode interaction in postbuckling behavior and imperfection sensitivity
• Influence of initial imperfections on the buckling of orthotropic truncated spherical and conical shells
• On the Nonunique Equilibrium States and Buckling Mechanism of Spherical Shells
• Buckling and postbuckling behavior of spherical caps under axisymmetric load
• On the optimality of linear methods for operator approximation in convex classes of functions

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