Bifurcation of axisymmetric buckled states of a thin spherical shell

DOI10.1016/0362-546X(80)90070-XzbMath0445.73032OpenAlexW2085215017MaRDI QIDQ3890194

Michael Shearer

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(80)90070-x

zbMATH Keywords

uniform compressive loadthin spherical shellrigorous local bifurcation analysis

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Bifurcation and buckling (74G60) Membranes (74K15)

Related Items (1)

Local bifurcation from characteristic values with finite multiplicity and its application to axisymmetric buckled states of a thin spherical shell

Cites Work

• On the local structure of the zero-set of a Banach space valued mapping
• Applications of generic bifurcation. II
• Existence and stability of axisymmetric buckled states of spherical shells
• Bifurcation and stability for a class of shells
• Loss of stability and bifurcation at a double eigenvalue
• Secondary Bifurcation in Nonlinear Diffusion Reaction Equations
• A Model Biochemical Reaction Exhibiting Secondary Bifurcation
• Axisymmetric buckling of hollow spheres and hemispheres
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