Development of the bifurcation condition for a thick elastic plate (Q1090131)
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scientific article; zbMATH DE number 4005714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Development of the bifurcation condition for a thick elastic plate |
scientific article; zbMATH DE number 4005714 |
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Development of the bifurcation condition for a thick elastic plate (English)
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1987
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A consistent six-term asymptotic series is derived for the critical value of the deformation parameter as a function of aspect ratio (thickness: height), in the limit as this ratio becomes unbounded, for a plate of general incompressible isotropic material. Values for both flexural and barreling modes are obtained in the case where the loading is a thrust. The theoretically important class of Mooney-Rivlin materials is treated as a special case.
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consistent six-term asymptotic series
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critical value
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deformation parameter
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function of aspect ratio
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general incompressible isotropic material
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flexural
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barreling modes
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thrust
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Mooney-Rivlin materials
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