Geometric methods in the theory of stability of thin shells (review)

DOI10.1007/BF00847324zbMath0793.73039OpenAlexW1988391767MaRDI QIDQ1319699

A. V. Pogorelov, V. I. Babenko

Publication date: 8 May 1994

Published in: International Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00847324

zbMATH Keywords

variational principlespostcritical deformationconvex shell

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Membranes (74K15)

Related Items

Analytical Buckling Analysis of Cylindrical Shells with Elliptic Cross Section Subjected to External Pressure ⋮ Analytical investigation of buckling of a cylindrical shell subjected to nonuniform external pressure

Cites Work

• Precritical equilibrium of a thin shallow shell of revolution and its stability
• Collapse by ponding of shells
• A Numerical Solution of the Nonlinear Equations for Axisymmetric Bending of Shallow Spherical Shells
• On the Numerical Solution of the Nonlinear Equations for Shells of Revolution
• Nonlinear Isometric Bifurcation and Shell Buckling
• On the solution of nonlinear boundary value problems of the theory of elasticity by a method of transformation to an initial value Cauchy problem
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