Geomechanics and Engineering

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Dynamical behavior of the orthotropic elastic material using an analytical solution

  • Balubaid, Mohammed (Department of Industrial Engineering, Faculty of Engineering, King Abdulaziz University) ;
  • Abdo, H. (Faculty of Science, Mathematics Dept, Computer Science Branch, South Valley University) ;
  • Ghandourah, E. (Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University) ;
  • Mahmoud, S.R. (GRC Department, Jeddah Community College, King Abdulaziz University)
  • Received : 2020.08.15
  • Accepted : 2021.05.13
  • Published : 2021.05.25
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Abstract

In this work, an analytical solution is provided for the dynamical response of an orthotropic non-homogeneous elastic material. The present study has engineering applications in the fields of geophysical physics, structural elements, plasma physics, and the corresponding measurement techniques of magneto-elasticity. The analytical performances for the elastodynamic equations has been solved regarding displacements. The influences of the rotation, the magnetic field, the non-homogeneity based radial displacement and the corresponding stresses in an orthotropic material are investigated. The variations of the stresses, the displacement, and the perturbation magnetic field have been illustrated. The comparisons is performed using the previous solutions in the magnetic field absence, the non-homogeneity and the rotation.

Keywords

Acknowledgement

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant (G:674-135-1441). The authors, therefore, acknowledge with thanks DSR for technical and financial support.

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