Large deformations under vertical edge loads of annular membranes with various strain energy densities

DOI10.1016/0020-7462(86)90033-8zbMath0594.73069OpenAlexW1978523959MaRDI QIDQ1077233

J. P. Fulton, James G. Simmonds

Publication date: 1986

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(86)90033-8

zbMATH Keywords

equationfield equationsclassicalneo-Hookeanload-deflection curvesDeformed profilesFour strain energy densitiesinitially flat, unstressed annular membraneMooneyRivlin-Saunderssymmetric vertical edge loadstwo first-order differential equations plus one algebraictwo first-order differential equations plus one algebraic equation

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Membranes (74K15) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (5)

Linearly elastic annular and circular membranes under radial, transverse, and torsional loading. I: Large unwrinkled axisymmetric deformations ⋮ Azimuthal shearing and transverse deflection of an annular elastic membrane ⋮ Deflections of a rubber membrane ⋮ Entropic thermoelasticity of thin polymeric films ⋮ Asymptotic analysis of the nonlinear equations for an infinite, rubber- like slab under an equilibrated vertical line load

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