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2020 | OriginalPaper | Chapter

A Dynamic Contact Problem of Torsion that Reduces to the Singular Integral Equation with Two Fixed Singularities

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Abstract

An elastic cylinder of finite length, one of the ends of which is perfectly coupled to the surface of the elastic half-space is considered. A round rigid plate of the same radius is coupled to the other end of the cylinder, and is loaded the torsion moment that is harmonic depend of time. The surface of the half-space outside the contact area with the cylinder and the side surface of the cylinder are been unload. The formulated boundary problem is reduced to a singular integral equation for a function related to stresses in the contact area of the cylinder and half-space. Since the kernel of this integral equation contains fixed singularities, a numerical method for solving this equation the is main result. After solving the integral equation, approximate formulas for calculating the contact stresses .

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Metadata
Title
A Dynamic Contact Problem of Torsion that Reduces to the Singular Integral Equation with Two Fixed Singularities
Authors
V. Popov
O. Kyrylova
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-47883-4_35

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