Contact problem of an elastic plane strengthened by a periodic system of inclusions of variable rigidity (Q2709548)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contact problem of an elastic plane strengthened by a periodic system of inclusions of variable rigidity |
scientific article |
Statements
27 March 2003
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contact problem
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elastic plane
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periodic system of inclusions
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variable rigidity
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elastic uniaxial stiffeners
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integro-differential equation
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load diffusion
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periodic Riemann problem
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theory of analytic functions
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Contact problem of an elastic plane strengthened by a periodic system of inclusions of variable rigidity (English)
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The title problem is formulated under the assumption of perfect attachment of elastic uniaxial stiffeners (inclusions) to a large (infinite) sheet. It leads to an integro-differential equation for the load diffusion from the stiffeners into the sheet. Its explicit solution is constructed via periodic Riemann problem of the theory of analytic functions. Some confusion is caused by an erroneous numbering of formulas.
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