Thermoelastic problem for an infinite plate with a curvilinear hole having finite poles (Q928631)
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scientific article; zbMATH DE number 5287457
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Thermoelastic problem for an infinite plate with a curvilinear hole having finite poles |
scientific article; zbMATH DE number 5287457 |
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Thermoelastic problem for an infinite plate with a curvilinear hole having finite poles (English)
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11 June 2008
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Summary: We apply Muskhelishvili complex variable method of solving two-dimensional elasticity problems to derive exact expressions for Goursat functions for the boundary value problems for an infinite plate weakened by a hole having many poles and arbitrary shape, which is conformally mapped on the domain outside the unit circle by means of a general rational mapping function. Also the components of stress are obtained, when a stationary heat is flowing uniformly in the direction perpendicular to the hole. Some applications are considered.
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complex variable method
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Goursat functions
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rational mapping function
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