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Generalized Thermoelastic Interactions in a Poroelastic Material Without Energy Dissipations

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Abstract

The purpose of this investigation is providing a method to study the effect of porosity in a porothermoelastic medium by the finite element technique. The formulations are applied under Green-Naghdi model without energy dissipations. One-dimensional application for a poroelastic half-space is considered. Due to the complex basic equations, the finite element method (FEM) has been adopted to solve this problem. The numerical outcomes for displacements, temperatures and the stress components are represented graphically for the solid and the fluid.

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Acknowledgment

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia, under Grant No. (KEP-92-130-38). The authors, therefore, acknowledge with thanks DSR technical and financial support.

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Authors and Affiliations

  1. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    Faris Alzahrani & Ibrahim A. Abbas

  2. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

    Ibrahim A. Abbas

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  1. Faris Alzahrani
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  2. Ibrahim A. Abbas
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Correspondence to Ibrahim A. Abbas.

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Alzahrani, F., Abbas, I.A. Generalized Thermoelastic Interactions in a Poroelastic Material Without Energy Dissipations. Int J Thermophys 41, 95 (2020). https://doi.org/10.1007/s10765-020-02673-0

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