Solution in quadratures of the basic problems of thermoelasticity for a sphere and a spherical cavity (Q911839)
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scientific article; zbMATH DE number 4143526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution in quadratures of the basic problems of thermoelasticity for a sphere and a spherical cavity |
scientific article; zbMATH DE number 4143526 |
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Solution in quadratures of the basic problems of thermoelasticity for a sphere and a spherical cavity (English)
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1989
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Basic static problems of classical uncoupled thermoelasticity are solved in quadratures for a sphere and the infinite space with a cavity. The solutions are obtained under most general and natural restrictions. By appeal to the method of \textit{V. D. Kupradzde, T. G. Gegelia, M. O. Basheleishvili}, and \textit{T. V. Burchuladze} [Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. Amsterdam, etc.: North-Holland (1979; Zbl 0406.73001)] four fundamental problems are solved in great detail. Convenience of using the Trefftz representation of solution is shown.
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classical uncoupled thermoelasticity
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Trefftz representation of solution
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