Integral equations with logarithmic singularities in the kernels of boundary-value problems of plane elasticity theory for regions with a defect (Q2761302)
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scientific article; zbMATH DE number 1683354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral equations with logarithmic singularities in the kernels of boundary-value problems of plane elasticity theory for regions with a defect |
scientific article; zbMATH DE number 1683354 |
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18 December 2001
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plane elasticity theory
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domain with defects
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boundary value problems
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Integral equations with logarithmic singularities in the kernels of boundary-value problems of plane elasticity theory for regions with a defect (English)
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An elastic medium is considered which fills bounded by a closed line \(L\), a plane simply connected domain \(D^+\) with a defect (a cut or thin inclusion) along a smooth open arc. The authors obtain singular integral equations for main boundary value problems of plane elasticity theory. The Bubnov-Galerkin method is applied to determine numerical solutions for the obtained integral equations.
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