Stresses in a box-like shell weakened by a crack crossing its edge (Q2753465)
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scientific article; zbMATH DE number 1670288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stresses in a box-like shell weakened by a crack crossing its edge |
scientific article; zbMATH DE number 1670288 |
Statements
11 November 2001
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Fourier transform
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singular integral equations
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Riemann problem
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infinite algebraic system
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0.92018753
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0.91326725
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0.8713267
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0.86104244
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0.8540203
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0.85364765
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0.8507642
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0.8493237
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Stresses in a box-like shell weakened by a crack crossing its edge (English)
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The box-like shell consists of two semi-infinite plates joined at right angle and is weakened by a crack crossing the edge perpendicular to it. Uniformly distributed bending load is applied to the crack faces. The problem is solved using the Fourier transform which gives a system of singular integral equations. By application of the Mellin transform, this system is transformed to a Riemann boundary value problem. The latter is solved by the technique of pole neutralization. As a result, an infinite algebraic system for determination of coefficients of expansion of unknown functions is obtained.
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