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Advances in Concrete Construction Volume 11, Number 4, April 2021 , pages 315-321 DOI: https://doi.org/10.12989/acc.2021.11.4.315 |
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An analytical solution for equations and the dynamical behavior of the orthotropic elastic material |
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Ahmed Ramady, H.A. Atia and S.R. Mahmoud
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| Abstract | ||
| In this article, an analytical solution of the dynamical behavior in an orthotropic non-homogeneity elastic material using for elastodynamics equations is investigated. The effects of the magnetic field, the initial stress, and the non-homogeneity on the radial displacement and the corresponding stresses in an orthotropic material are investigated. The analytical solution for the elastodynamic equations has solved regarding displacements. The variation of the stresses, the displacement, and the perturbation magnetic field have shown graphically. Comparisons are made with the previous results in the absence of the magnetic field, the initial stress, and the non-homogeneity. The present study has engineering applications in the fields of geophysical physics, structural elements, plasma physics, and the corresponding measurement techniques of magneto-elasticity. | ||
| Key Words | ||
| non-homogeneous; magnetic field; an orthotropic material; elastodynamics equations; dynamical behavior | ||
| Address | ||
| Ahmed Ramady: GRC Department, Faculty of Applied studies, King Abdulaziz University. Jeddah 21589, Saudi Arabia;Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt H.A. Atia: Mathematics Department, Arts - Rabigh& College of Sciences, King Abdulaziz University, Rabigh 25732, Saudi Arabia S.R. Mahmoud: GRC Department, Faculty of Applied studies, King Abdulaziz University. Jeddah 21589, Saudi Arabia | ||
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