Bifurcation and stability for a class of shells

DOI10.1007/BF00251585zbMath0365.73089MaRDI QIDQ1241334

D. Sather

Publication date: 1977

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Shells (74K25) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (10)

A selection principle for Bénard-type convection ⋮ Local bifurcation from characteristic values with finite multiplicity and its application to axisymmetric buckled states of a thin spherical shell ⋮ Reduced stability of parameter-dependent matrices ⋮ Buckled states of a spherical shell under uniform external pressure ⋮ The buckling of elastic spherical caps ⋮ Existence and stability of axisymmetric buckled states of spherical shells ⋮ Bifurcation of axisymmetric buckled states of a thin spherical shell ⋮ Bifurcation from rotationally invariant states ⋮ Qualitative methods in bifurcation theory ⋮ Stable subcritical solutions for a class of variational problems

Cites Work

• A note on topological degree for potential operators
• Existence and stability of axisymmetric buckled states of spherical shells
• Loss of stability and bifurcation at a double eigenvalue
• Branching of solutions of an equation in Hilbert space
• Stability of bifurcating solutions by Leray-Schauder degree
• Branching of solutions of nonlinear equations
• Completely continuous scalars and variational methods
• Nonlinear Axisymmetric Buckled States of Shallow Spherical Caps
• Bifurcation buckling of spherical caps
• Axisymmetric buckling of hollow spheres and hemispheres
• THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT
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