Fundamental problems for infinite plate with a curvilinear hole having finite poles (Q1612059)
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scientific article; zbMATH DE number 1791000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fundamental problems for infinite plate with a curvilinear hole having finite poles |
scientific article; zbMATH DE number 1791000 |
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Fundamental problems for infinite plate with a curvilinear hole having finite poles (English)
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2001
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Summary: Muskhelishvili's complex variable method of solving two-dimensional elasticity problems is applied to derive exact expressions for Goursat's functions for the first and second fundamental problems for an infinite plate weakened by a hole having many poles and of arbitrary shape. The plate is conformally mapped on the domain outside unit circle by means of general rational mapping function. Some applications are investigated.
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complex variable method
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rational mapping function
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