The Lamé equation in shell membrane theory
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Publication:3529819
DOI10.1063/1.2747721zbMath1144.81406OpenAlexW2087864332MaRDI QIDQ3529819
Adam Szereszewski, Wolfgang K. Schief, Colin Rogers
Publication date: 14 October 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2747721
Shells (74K25) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Equilibrium (steady-state) problems in solid mechanics (74G99)
Related Items (3)
Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions ⋮ Asymptotics with respect to a small geometric parameter for solutions of three-dimensional Lamé equations ⋮ A formulation of L-isothermic surfaces in three-dimensional Minkowski space
Cites Work
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- On the equilibrium of shell membranes under normal loading. Hidden integrability
- Remarks on a possible elasticity of membranes and lamellar media: disordered layers
- On the unification of classical and novel integrable surfaces. I. Differential geometry
- A new algebraization of the Laméequation
- SMECTIC LIQUID CRYSTALS AND THE PARABOLIC CYCLIDES
- Novel integrable reductions in nonlinear continuum mechanics via geometric constraints
- On a nonlinear elastic shell system in liquid crystal theory: generalized Willmore surfaces and Dupin cyclides
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