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Membrane Water Treatment Volume 11, Number 4, July 2020 , pages 295-302 DOI: https://doi.org/10.12989/mwt.2020.11.4.295 |
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A theoretical approach in 2d-space with applications of the periodic wave solutions in the elastic body |
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Ahmed Ramady, S.R. Mahmoud and H.A. Atia
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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. | ||
| Key Words | ||
| periodic wave; initial stress; rotation; non-homogeneous; elastic body | ||
| Address | ||
| Ahmed Ramady, S.R. Mahmoud: GRC Department, Jeddah Community College, King Abdulaziz University. Jeddah 21589, Saudi Arabia Ahmed Ramady: 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 H.A. Atia: Department of Mathematics, Faculty of Science, Zagazig, University,Zagazig, Egypt | ||
