Boundary layer solutions for some nonlinear elastic membrane problems

DOI10.1007/BF00944922zbMath0607.73041MaRDI QIDQ1085664

Hubertus J. Weinitschke, Frederic Y. M. Wan

Publication date: 1987

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

zbMATH Keywords

small parametercentermatched asymptotic expansionscircular membraneedgesurface loadannular membraneat the holeaxial pressureboundary layer at the outer edgefinite axisymmetric deformationsFöppl formulationsmall circular holesmall radial tractiontwo thin elastic membrane problemstwo-point BVP's for second-order nonlinear ordinary differential equation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15)

Related Items

On shells of revolution with the Love-Kirchhoff hypotheses ⋮ Nonlinear Eigenvalue Problems under Strong Localized Perturbations with Applications to Chemical Reactors

Cites Work

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• Finite displacements of annular elastic membranes
• Perturbation methods in applied mathematics
• A simplified version of Reissner's nonlinear equations for a first- approximation theory of shells of revolution
• The plane circular elastic surface under normal pressure
• Non-linear boundary values problems for the circular membrane
• Large deflections of axisymmetric circular membranes
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• Non-linear theory of curved elastic sheets

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