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Structural Engineering and Mechanics Volume 91, Number 5, September10 2024 , pages 459-468 DOI: https://doi.org/10.12989/sem.2024.91.5.459 |
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Receding contact problem of an orthotropic layer supported by rigid quarter planes |
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Hüseyin Oğuz, İlkem Turhan Çetinkaya and İsa Çömez
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| Abstract | ||
| This study presents a frictionless receding contact problem for an orthotropic elastic layer. It is assumed that the layer is supported by two rigid quarter planes and the material of the layer is orthotropic. The layer of thickness h is indented by a rigid cylindrical punch of radius R. The problem is modeled by using the singular integral equation method with the help of the Fourier transform technique. Applying the boundary conditions of the problem the system of singular integral equations is obtained. In this system, the unknowns are the contact stresses and contact widths under the punch and between the layer and rigid quarter planes. The Gauss-Chebyshev integration method is applied to the obtained system of singular integral equations of Cauchy type. Five different orthotropic materials are considered during the analysis. Numerical results are presented to interpret the effect of the material property and the other parameters on the contact stress and the contact width. | ||
| Key Words | ||
| contact mechanics; Fourier transform; orthotropy; quarter plane; singular integral equation | ||
| Address | ||
| Hüseyin Oğuz, İlkem Turhan Çetinkaya: Department of Mathematics, Science and Art Faculty, Kütahya Dumlup | ||