Asymptotic forms of a simplified version of the nonlinear Reissner equations for clamped elastic spherical caps under outward pressure

DOI10.1007/BF00571027zbMath0699.73041OpenAlexW2090628980MaRDI QIDQ913558

James G. Simmonds, Avinoam Libai

Publication date: 1987

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00571027

zbMATH Keywords

small strainselastically isotropic shells of revolutionlarge angles of rotationnon-dimensional equationstorsionless, axisymmetric deformation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15)

Related Items

On shells of revolution with the Love-Kirchhoff hypotheses ⋮ Wrinkling Structures at the Rim of an Initially Stretched Circular Thin Plate Subjected to Transverse Pressure ⋮ A finite element scheme based on the simplified Reissner equations for shells of revolution

Cites Work

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• Asymptotic solutions of steadily spinning shallow shells of revolution under uniform pressure
• A simplified version of Reissner's nonlinear equations for a first- approximation theory of shells of revolution
• The edge effect in symmetric bending of shallow shells of revolution
• Non-linear theory of curved elastic sheets