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Geomechanics and Engineering Volume 32, Number 2, January25 2023 , pages 137-144 DOI: https://doi.org/10.12989/gae.2023.32.2.137 |
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A novel model of a nonlocal porous thermoelastic solid with temperature-dependent properties using an eigenvalue approach |
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Samia M. Said
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| Abstract | ||
| The current article studied wave propagation in a nonlocal porous thermoelastic half-space with temperature-dependent properties. The problem is solved in the context of the Green-Lindsay theory (G˗L) and the Lord˗ Shulman theory (L˗S) based on thermoelasticity with memory-dependent derivatives. The governing equations of the porous thermoelastic solid are solved using normal mode analysis with an eigenvalue approach. In order to illustrate the analytical developments, the numerical solution is carried out, and the effect of local parameter and temperature-dependent properties on the physical fields are presented graphically. | ||
| Key Words | ||
| eigenvalue approach; memory-dependent derivative; nonlocal porous thermoelastic solid; temperature-dependent properties | ||
| Address | ||
| Samia M. Said: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt | ||