Buckling load prediction of an externally pressurized thin spherical shell with localized imperfections

DOI10.1177/1081286517753277zbMath1444.74019OpenAlexW2791760049MaRDI QIDQ3300727

Olga Lykhachova, Maksym Kolesnikov, Alexander Yu. Evkin

Publication date: 29 July 2020

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

Full work available at URL: https://doi.org/10.1177/1081286517753277

zbMATH Keywords

asymptotic methodload-deflection diagram

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60) Shells (74K25)

Cites Work

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• A new approach to the asymptotic integration of the equations of shallow convex shell theory in the post-critical stage
• Buckling behaviour of imperfect spherical shells
• The axisymmetric buckling of initially imperfect complete spherical shells
• Axially-symmetric forms of equilibrium of an elastic spherical shell under uniformly distributed pressure
• Buckling of a spherical shell under external pressure and inward concentrated load: Asymptotic solution
• Buckling of spherical shells revisited
• Analysis of large deflection equilibrium states of composite shells of revolution. I: General model and singular perturbation analysis. II: Applications and numerical results

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