The first fundamental problem of the theory of elasticity for a symmetric lune (Q1059421)
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scientific article; zbMATH DE number 3904058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The first fundamental problem of the theory of elasticity for a symmetric lune |
scientific article; zbMATH DE number 3904058 |
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The first fundamental problem of the theory of elasticity for a symmetric lune (English)
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1985
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The first fundamental problem of the theory of elasticity is considered for a symmetric lune, when a symmetrically distributed normal load is specified on its boundary, and there are no tangential stresses. The problem is formulated and solved without preliminary reduction to the basic biharmonic problem. The proposed version and solution are based on the combined method of Fourier integrals and analysis of the Carleman problem [e.g. the first author, \textit{A. F. Dashchenko} and \textit{G. Ya. Popov}, Prikl. Meh. 13, No.6, 102-111 (1977; Zbl 0362.73011)].
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Fourier transform
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inverse Fourier transform
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differential equation with variable coefficients
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constant coefficients
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method of residues
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first fundamental problem
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symmetric lune
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symmetrically distributed normal load
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on its boundary
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no tangential stresses
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solved without preliminary reduction to the basic biharmonic problem
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combined method of Fourier integrals and analysis of the Carleman problem
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0.88083225
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0.87423414
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0.87200004
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0.8711791
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