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Effect of the Magnetic Field, Initial Stress, Rotation, and Nonhomogeneity on Stresses in Orthotropic Material

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Abstract

In this article, the effect of the magnetic field, initial stress, rotation, and nonhomogeneity on the radial displacement and the corresponding stresses in orthotropic material is investigated. The analytical solution for the elastodynamic equation is solved in terms of displacements. The variation of stresses, displacement, and perturbation magnetic field have been shown graphically. Comparisons are made with the previous results in the absence of the magnetic field, the initial stress, the rotation, and nonhomogeneity.

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Funding

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant No. 130-11-D1441. The authors, therefore, acknowledge with thanks DSR for technical and financial support.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

    K. S. Al-Basyouni

  2. GRC Department, Faculty of Applied Studies, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

    S. R. Mahmoud

Authors
  1. K. S. Al-Basyouni
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  2. S. R. Mahmoud
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Correspondence to K. S. Al-Basyouni or S. R. Mahmoud.

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Translated from in Fizicheskaya Mezomekhanika, 2021, Vol. 24, No. 1, pp. 88–95.

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Al-Basyouni, K.S., Mahmoud, S.R. Effect of the Magnetic Field, Initial Stress, Rotation, and Nonhomogeneity on Stresses in Orthotropic Material. Phys Mesomech 24, 303–310 (2021). https://doi.org/10.1134/S1029959921030085

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  • DOI: https://doi.org/10.1134/S1029959921030085

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