The solution of problems of the theory of elasticity for a plane with a doubly symmetric two-cusp cut (Q1370022)
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scientific article; zbMATH DE number 1077512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The solution of problems of the theory of elasticity for a plane with a doubly symmetric two-cusp cut |
scientific article; zbMATH DE number 1077512 |
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The solution of problems of the theory of elasticity for a plane with a doubly symmetric two-cusp cut (English)
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4 November 1997
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The first fundamental problem of the theory of elasticity with non-zero boundary stresses for a plane with a doubly symmetric two-cusp cut at the boundary is solved by reducing it to two Hilbert boundary value problems for the exterior of the unit circle. The mixed problem is shown to be equivalent to a Hilbert singular integral equation, and after solving it the problem can be reduced to the first fundamental problem of the theory of elasticity solved earlier.
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Hilbert boundary value problems
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Hilbert singular integral equation
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first fundamental problem
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mixed problem
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