Boundary layer solutions for some nonlinear elastic membrane problems
type: Item
instance of: scholarly article
title: Boundary layer solutions for some nonlinear elastic membrane problems
zbMATH Open document ID: 0607.73041
DOI: 10.1007/BF00944922
author: Hubertus J. Weinitschke
author: F. Y. M. Wan
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1987-01-01T00:00:00Z
review text: The method of matched asymptotic expansions is used to describe finite axisymmetric deformations of two thin elastic membrane problems: a circular membrane with a small radial traction at the edge, an annular membrane with a small circular hole at the center. In both problems, the surface load is assumed to be an axial pressure. There is a boundary layer at the outer edge in the first problem, and at the hole in the second problem.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 3982645
zbMATH Keywords: Föppl formulation
zbMATH Keywords: two-point BVP's for second-order nonlinear ordinary differential equation
zbMATH Keywords: small parameter
zbMATH Keywords: matched asymptotic expansions
zbMATH Keywords: finite axisymmetric deformations
zbMATH Keywords: two thin elastic membrane problems
zbMATH Keywords: circular membrane
zbMATH Keywords: small radial traction
zbMATH Keywords: edge
zbMATH Keywords: annular membrane
zbMATH Keywords: small circular hole
zbMATH Keywords: center
zbMATH Keywords: surface load
zbMATH Keywords: axial pressure
zbMATH Keywords: boundary layer at the outer edge
zbMATH Keywords: at the hole
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3982645