Stability of annular plates of inhomogeneously ageing viscoelastic material (Q1075098)
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scientific article; zbMATH DE number 3949846
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of annular plates of inhomogeneously ageing viscoelastic material |
scientific article; zbMATH DE number 3949846 |
Statements
Stability of annular plates of inhomogeneously ageing viscoelastic material (English)
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1985
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A thin-plate bending equation in a polar coordinate system is derived for an inhomogeneously ageing material using creep theory. This equation is used to prove the sufficient condition for the stability of annular plates by an energy method. The case of rigid clamping of both plate edges and compressive forces of dissimilar intensities along these edges is examined. Stresses in the plane of the plate are estimated, whereupon a bound is obtained on the compressible force in explicit form. An extension is made to other kinds of plate support.
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Lyapunov stability
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thin-plate bending equation
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polar coordinate system
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inhomogeneously ageing material
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creep theory
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energy method
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rigid clamping
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plate edges
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compressive forces
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dissimilar intensities
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Stresses
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estimated
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bound
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compressible force
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