The buckling of elastic spherical caps
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Publication:1179713
DOI10.1007/BF00042464zbMath0738.73028MaRDI QIDQ1179713
Publication date: 29 June 1992
Published in: Journal of Elasticity (Search for Journal in Brave)
Bifurcation and buckling (74G60) Membranes (74K15) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)
Related Items (2)
Special functions on the sphere with applications to minimal surfaces ⋮ Buckling and postcritical behaviour of the elastic infinite plate strip resting on linear elastic foundation
Cites Work
- Ordering the zeroes of Legendre functions \(P^ m_{\nu}(z_ 0)\) when considered as a function of \(\nu\)
- Qualitative properties of large buckled states of spherical shells
- Les equations de von Kármán
- Buckled states of a spherical shell under uniform external pressure
- A note on topological degree for potential operators
- Bifurcation and stability for a class of shells
- Loss of stability and bifurcation at a double eigenvalue
- Stability of bifurcating solutions by Leray-Schauder degree
- Comparison Theorems for the ν-Zeroes of Legendre Functions P m ν (z 0 ) when -1 < z 0 < 1
- Upper and lower bounds for eigenvalues of the Laplacian on a spherical cap
- Axisymmetric and nonaxisymmetric buckled states of a shallow spherical cap
- Refined interior equations for thin elastic shells
- Nonlinear Axisymmetric Buckled States of Shallow Spherical Caps
- Nonlinear Buckling and Stability of Cylindrical Panels
- Axisymmetric buckling of hollow spheres and hemispheres
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