Complex potentials with logarithmic singularities in kernels for elastic bodies with defect along a smooth arc (Q1603104)
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scientific article; zbMATH DE number 1758708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex potentials with logarithmic singularities in kernels for elastic bodies with defect along a smooth arc |
scientific article; zbMATH DE number 1758708 |
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Complex potentials with logarithmic singularities in kernels for elastic bodies with defect along a smooth arc (English)
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2000
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The authors construct integral representation with logarithmic singularity in kernel for functions analytic in different domains of complex plane with cuts along a smooth arc. Elastic plane with defect along a smooth arc, half-plane with defect along an arc, elastic disc with defect along a smooth arc, and domains conformally equivalent to disc are considered. Singularities (poles) of potentials are analyzed. Numerical solutions are not considered.
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boundary value problem
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integral equations
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plane elasticity
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