Rigorous derivation of the formula for the buckling load in axially compressed circular cylindrical shells

DOI10.1007/s10659-015-9513-xzbMath1440.74151arXiv1405.0714OpenAlexW2047140742MaRDI QIDQ2354995

Davit Harutyunyan, Yury Grabovsky

Publication date: 27 July 2015

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0714

zbMATH Keywords

instabilitysecond variationimperfection sensitivitycritical loadKoiter circle

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Bifurcation and buckling (74G60) Shells (74K25)

Related Items (9)

Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities ⋮ Gaussian curvature as an identifier of shell rigidity ⋮ Korn inequalities for shells with zero Gaussian curvature ⋮ The asymptotically sharp geometric rigidity interpolation estimate in thin bi-Lipschitz domains ⋮ Sharp weighted Korn and Korn-like inequalities and an application to washers ⋮ Scaling instability in buckling of axially compressed cylindrical shells ⋮ Weighted asymptotic Korn and interpolation Korn inequalities with singular weights ⋮ A hint on the localization of the buckling deformation at vanishing curvature points on thin elliptic shells ⋮ The buckling load of cylindrical shells under axial compression depends on the cross-sectional curvature

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