Wrinkle-free solutions of circular membrane problems

DOI10.1007/BF00946242zbMath0782.73035MaRDI QIDQ1194081

Armin Beck, Hans Grabmüller

Publication date: 27 September 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

separatrixtensile solutionsradial stressesReissner theoryradial displacementsrotational symmetric deformationtraction-free edge

Mathematics Subject Classification ID

Plates (74K20)

Related Items (6)

Existence theorems for some boundary value problems in the nonlinear theory of annular elastic membranes ⋮ Classical radial solutions for singular and degenerate elliptic equations ⋮ Large deflection of circular membrane under concentrated force ⋮ Recent mathematical results in the nonlinear theory of flat and curved elastic membranes of revolution ⋮ A theoretical study of a thin-film delamination using shaft-loaded blister test: constitutive relation without delamination ⋮ Wrinkle-free solutions in the theory of curved circular membranes

Cites Work

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• Finite displacements of annular elastic membranes
• Wrinkle-free solutions in the theory of annular elastic membranes
• Integral equations with decreasing nonlinearities and applications
• The plane circular elastic surface under normal pressure
• Non-linear boundary values problems for the circular membrane
• On finite displacements of circular elastic membranes
• Positive Solutions of Annular Elastic Membrane Problems with Finite Rotations
• Stable and Unstable Axisymmetric Solutions for Membranes of Revolution
• Membrane buckling: A study of solution multiplicity

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