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Open AccessJournal ArticleDOI

A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method

Tareq Saeed, +2 more
- 24 Mar 2020 - 
- Vol. 12, Iss: 3, pp 488
TLDR
The effects of thermal relaxation times and porosity in a poro-thermoelastic medium are studied and numerical computations for temperatures, displacements and stresses for the liquid and the solid are presented graphically.
Abstract
The purpose of this study is to provide a method to investigate the effects of thermal relaxation times in a poroelastic material by using the finite element method. The formulations are applied under the Green and Lindsay model, with four thermal relaxation times. Due to the complex governing equation, the finite element method has been used to solve these problems. All physical quantities are presented as symmetric and asymmetric tensors. The effects of thermal relaxation times and porosity in a poro-thermoelastic medium are studied. Numerical computations for temperatures, displacements and stresses for the liquid and the solid are presented graphically.

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Impact of Stefan blowing on thermal radiation and Cattaneo–Christov characteristics for nanofluid flow containing microorganisms with ablation/accretion of leading edge: FEM approach

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A New Analysis of Fractional-Order Equal-Width Equations via Novel Techniques

TL;DR: In this article, the new iterative transform method and the homotopy perturbation transform method were used to solve fractional-order equal width equations with the help of Caputo-Fabrizio.
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A new structure study: Vibrational analyses of FGM convex-concave shells subjected to electro-thermal-mechanical loads surrounded by Pasternak foundation

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Dual-phase-lagging thermoelastic damping and frequency shift of micro/nano-ring resonators with rectangular cross-section

TL;DR: In this article, the authors derived analytical models of thermoelastic damping (TED) and frequency shift for the rectangular cross-section micro/nano-ring resonators.
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Frequency shifts and thermoelastic damping in different types of Nano-/Micro-scale beams with sandiness and voids under three thermoelasticity theories

TL;DR: In this paper, the analytical study of thermoelastic damping (TED) and frequency shift (FS) in micro-scale beams and TED in nano-scale beam is presented.
References
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Journal ArticleDOI

Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range

TL;DR: In this paper, the theory of propagation of stress waves in a porous elastic solid developed in Part I for the low-frequency range is extended to higher frequencies, and the breakdown of Poiseuille flow beyond the critical frequency is discussed for pores of flat and circular shapes.
Journal ArticleDOI

A generalized dynamical theory of thermoelasticity

TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
Journal ArticleDOI

Thermoelasticity and Irreversible Thermodynamics

TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
Journal ArticleDOI

General solutions of the equations of elasticity and consolidation for a porous material

TL;DR: In this paper, general solutions of these equations for the isotropic case are developed, giving directly the displacement field or the stress field in analogy with the Boussinesq-Papkovitch solution and the stress functions of the theory of elasticity.
Journal ArticleDOI

Thermoelastic response of fluid-saturated porous rock

TL;DR: In this article, a linear theory for fluid-saturated, porous, thermoelastic media is developed, which allows for compressibility and thermal expansion of both the fluid and solid constituents.
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