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Development of the bifurcation condition for a thick elastic plate - MaRDI portal

Development of the bifurcation condition for a thick elastic plate (Q1090131)

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scientific article; zbMATH DE number 4005714
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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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