The thermomechanical response of a poroelastic medium with two thermal relaxation times

Abstract

Purpose–The purpose of this paper is to study the wave propagation in a porous medium through the porothermoelastic process using the finite element method (FEM).Design/methodology/approachOne-dimensional (1D) application for a poroelastic half-space is considered. Due to the complex governing equation, the finite element approach has been adopted to solve these problems.FindingsThe effect of porosity and thermal relaxation times in a porothermoelastic material was investigated.Originality/valueThe numerical results for stresses, displacements and temperatures for the solid and the fluid are represented graphically. This work will enable future investigators to have the insight of nonsimple porothermoelasticity with different phases in detail.

Transient Propagation of Longitudinal and Transverse Waves in Cancellous Bone: Application of Biot Theory and Fractional Calculus

“…By replacing the new expressions for the mass coefficients in (6) where α(ω) is given by (7) in the system of Equation ( 1), the motion equations becomes the following:…”

“…As it is known, bone is an inhomogeneous porous material [5][6][7][8][9] and the determination of its characteristics by means of ultrasound techniques can be a game-changer in the diagnosis of osteoporosis since its elastic properties affect acoustic propagation. Within this context, several studies have been conducted on cancelous and trabecular bone [10][11][12][13].…”

The Effects of Fractional Time Derivatives in Porothermoelastic Materials Using Finite Element Method

“…Following Abbas and Hobiny [23] with Ezzat and Karamany [29][30][31], the basic equations of porothermoelastic media in the absence of physical forces and the thermal source are expressed as: Motion equations…”

“…Hobiny [22] studied the impacts of relaxation time and porosity in porothermoelastic materials under a hybrid finite element method. Abbas and Hobiny [23] studied the thermomechanical responses of a poroelastic material with time delays. Alzahrani and Abbas [24] studied generalized thermoelastic interactions in a poroelastic medium without energy dissipation.…”