On the equilibrium of shell membranes under normal loading. Hidden integrability

DOI10.1098/rspa.2003.1135zbMath1042.37056OpenAlexW2139335882MaRDI QIDQ3043382

Colin Rogers, Wolfgang K. Schief

Publication date: 6 August 2004

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2003.1135

zbMATH Keywords

integrabilityBäcklund transformationDupin cyclidesO surfacesshell membrane

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Shells (74K25) Membranes (74K15) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Surfaces in Euclidean and related spaces (53A05)

Related Items (5)

Polarized Hessian covariant: contribution to pattern formation in the Föppl-von Kármán shell equations ⋮ The Lamé equation in shell membrane theory ⋮ On a nonlinear elastic shell system in liquid crystal theory: generalized Willmore surfaces and Dupin cyclides ⋮ Integrable discrete differential geometry of ‘plated’ membranes in equilibrium ⋮ Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality

This page was built for publication: On the equilibrium of shell membranes under normal loading. Hidden integrability