Boundary layer solutions for some nonlinear elastic membrane problems (Q1085664)
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scientific article; zbMATH DE number 3982645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary layer solutions for some nonlinear elastic membrane problems |
scientific article; zbMATH DE number 3982645 |
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Boundary layer solutions for some nonlinear elastic membrane problems (English)
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1987
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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.
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Föppl formulation
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two-point BVP's for second-order nonlinear ordinary differential equation
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small parameter
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matched asymptotic expansions
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finite axisymmetric deformations
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two thin elastic membrane problems
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circular membrane
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small radial traction
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edge
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annular membrane
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small circular hole
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center
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surface load
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axial pressure
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boundary layer at the outer edge
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at the hole
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