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An application of Lobatto-Chebyshev Method on an elasticity problem with two cracks

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2023
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Abstract (EN)

In this thesis study, an elasticity problem with two cracks in an nonhomogeneous medium is considered. The problem is reduced to a system of singular integral equations with the help of the basic equations of the elasticity theory, boundary conditions of the problem and Fourier transform of Airy stress function. The reduced system of singular integral equations is solved by Gauss-Chebyshev method and Lobatto-Chebyshev method. Normalized stress intensity factors (SIFs) are determined under different loading conditions. The numerical results are analyzed in detailed.

Author

Sabahat Özkan

How to Cite

Sabahat Özkan (Master Thesis). An application of Lobatto-Chebyshev Method on an elasticity problem with two cracks, 2023, Kütahya Dumlupınar University.

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