Further deformations of the axially-symmetric non-bending surfaces

DOI10.7546/jgsp-55-2020-51-73zbMath1443.74231OpenAlexW3033804768MaRDI QIDQ2003863

Vladimir I. Pulov, Ivaïlo M. Mladenov

Publication date: 5 October 2020

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jgsp/1591257615

zbMATH Keywords

elliptic functionsstress analysiselliptic integralsparameterizationssurface geometryaxially symmetric surfacesbending of shells

Mathematics Subject Classification ID

Shells (74K25) Stress (74A10) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Elliptic functions and integrals (33E05)

Related Items (2)

Explicit parameterizations of non-bending torus-like surfaces ⋮ A plethora of non-bending surfaces of revolution: classifications and explicit parameterizations

Uses Software

• Maple

Cites Work

• The many faces of elastica
• Explicit description of some classes of non-bending surfaces
• Deformations without bending: explicit examples
• Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures
• Encyclopedia of Analytical Surfaces
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