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A theoretical approach in 2d-space with applications of the periodic wave solutions in the elastic body

  • Ramady, Ahmed (GRC Department, Jeddah Community College, King Abdulaziz University) ;
  • Mahmoud, S.R. (GRC Department, Jeddah Community College, King Abdulaziz University) ;
  • Atia, H.A. (Mathematics Department, Arts - Rabigh& College of Sciences, King Abdulaziz University)
  • Received : 2020.03.17
  • Accepted : 2020.05.18
  • Published : 2020.07.25
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Abstract

In this paper, theoretical approach with applications of the periodic wave solutions in an elastic material is applied by study the effect of initial stress, and rotation, on the radial displacement and the corresponding stresses in non-homogeneous orthotropic material. An Analytical solution for the elastodynamic equation has obtained concerning the component of displacement. The variations of stresses and displacements have shown graphically. Comparisons with previously published results in the absence of initial stress, rotation and non-homogeneity have made. Finally, numerical results have given and illustrated graphically for each case considered.

Keywords

Acknowledgement

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant No. G-397-130-36. The authors, therefore, acknowledge with thanks DSR for technical and financial support.

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