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Steel and Composite Structures Volume 38, Number 5, March10 2021 , pages 523-531 DOI: https://doi.org/10.12989/scs.2021.38.5.523 |
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A study on thermo-elastic interactions in 2D porous media with-without energy dissipation |
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Faris Alzahrani and Ibrahim A. Abbas
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| Abstract | ||
| The generalized thermoelastic analysis problem of a two-dimension porous medium with and without energy dissipation are obtained in the context of Green–Naghdi's (GNIII) model. The exact solutions are presented to obtain the studying fields due to the pulse heat flux that decay exponentially in the surface of porous media. By using Laplace and Fourier transform with the eigenvalues scheme, the physical quantities are analytically presented. The surface is shocked by thermal (pulse heat flux problems) and applying the traction free on its outer surfaces (mechanical boundary) through transport (diffusion) process of temperature to observe the analytical complete expression of the main physical fields. The change in volume fraction field, the variations of the displacement components, temperature and the components of stress are graphically presented. Suitable discussion and conclusions are presented. | ||
| Key Words | ||
| Porous medium; fourier and laplace transform; eigenvalue approach; Green–Naghdi (GNIII) theory | ||
| Address | ||
| Faris Alzahrani: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia Ibrahim A. Abbas: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt | ||