Contact problem for a viscoplastic orthotropic half-plane and a rigid body with a surface groove (Q2754779)
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scientific article; zbMATH DE number 1668409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contact problem for a viscoplastic orthotropic half-plane and a rigid body with a surface groove |
scientific article; zbMATH DE number 1668409 |
Statements
4 November 2001
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Volterra principle
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continued fractions
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approximate solution
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Contact problem for a viscoplastic orthotropic half-plane and a rigid body with a surface groove (English)
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Viscoelastic half-plane is in contact with a rigid half-plane with a local groove. The shape of the groove is described by the equation \(y^2 = k_0^2 b^2 (1-x^2/b^2)^5\), where \(| x | <b\), and \(k_0\ll 1\) (groove of small height). Using a known solution for analogous elastic problem, an approximate solution of the viscoelastic problem is found. In the derivation of solution, the Volterra principle and technique of continued fractions are used. Different types of resolvent viscoelastic operators are considered.
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0.8034802675247192
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0.7722072601318359
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