On finite displacements of circular elastic membranes

DOI10.1002/mma.1670090108zbMath0622.73044OpenAlexW2026694131MaRDI QIDQ3760031

Hubertus J. Weinitschke

Publication date: 1987

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670090108

zbMATH Keywords

isotoneconvergenceexistencemultiplicityintegral equationGreen functionsiterative methoddisplacement problemuniform pressurevariable pressureantitone operatorsarbitrary variable axisymmetric pressurecircular elastic membranescompressive solutionsDickey's method

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) Theory of constitutive functions in solid mechanics (74A20)

Related Items (6)

On shells of revolution with the Love-Kirchhoff hypotheses ⋮ Existence theorems for some boundary value problems in the nonlinear theory of annular elastic membranes ⋮ Recent mathematical results in the nonlinear theory of flat and curved elastic membranes of revolution ⋮ Wrinkle-free solutions of circular membrane problems ⋮ A singular nonlinear second-order periodic boundary value problem ⋮ Finite displacements of annular elastic membranes

Cites Work

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• Finite displacements of annular elastic membranes
• Über eine Klasse von Iterationsverfahren
• The plane circular elastic surface under normal pressure
• Non-linear boundary values problems for the circular membrane
• Large deflections of axisymmetric circular membranes
• Iterative solutions for the non-linear bending of circular plates
• On the Convergence of Interpolated Iteration Methods
• Finite pure bending of circular cylindrical tubes
• Membrane buckling: A study of solution multiplicity

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