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

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

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-05-2020-0118 ◽

2020 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Ibrahim Abbas ◽

Aatef Hobiny

Keyword(s):

Finite Element ◽

Design Methodology ◽

Relaxation Times ◽

Thermal Relaxation ◽

The Finite Element Method ◽

Poroelastic Medium ◽

Content Type ◽

One Dimensional ◽

Thermal Relaxation Times ◽

Element Approach

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.

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

Mathematics ◽

10.3390/math9141606 ◽

2021 ◽

Vol 9 (14) ◽

pp. 1606

Author(s):

Marin Marin ◽

Aatef Hobiny ◽

Ibrahim Abbas

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Derivative ◽

Thermal Relaxation ◽

The Finite Element Method ◽

Governing Equations ◽

Future Studies ◽

Fractional Time Derivative ◽

Insight Into ◽

Element Method

In this work, a new model for porothermoelastic waves under a fractional time derivative and two time delays is utilized to study temperature increments, stress and the displacement components of the solid and fluid phases in porothermoelastic media. The governing equations are presented under Lord–Shulman theory with thermal relaxation time. The finite element method has been adopted to solve these equations due to the complex formulations of this problem. The effects of fractional parameter and porosity in porothermoelastic media have been studied. The numerical outcomes for the temperatures, the stresses and the displacement of the fluid and the solid are presented graphically. These results will allow future studies to gain a detailed insight into non-simple porothermoelasticity with various phases.

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Elastic electron scattering using the finite element method

European Journal of Computational Mechanics ◽

10.13052/ejcm.19.117-128 ◽

2010 ◽

pp. 117-128

Author(s):

Denis Aubry ◽

Ann- Lenaig Hamon ◽

Guillaume Puel

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Function ◽

Electron Scattering ◽

Elastic Interaction ◽

The Finite Element Method ◽

Scattered Electron ◽

Transmission Electron ◽

Element Method

We address here the case of electron-matter elastic interaction as it occurs in Transmission Electron Microscopy (TEM) experiments. In the forward problem, we show that it is possible to derive the scattered electron wave function as the solution of a Helmholtz equation. This equation depends on the spatial potential associated with the analyzed sample, and can be relevantly solved using the Finite Element Method (FEM). Then we present an inverse formulation dealing with the determination of the sample’s potential when the total wave function is measured at the exit plane of the sample.

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Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽

10.1039/c9nr06508c ◽

2019 ◽

Vol 11 (43) ◽

pp. 20868-20875 ◽

Cited By ~ 1

Author(s):

Junxiong Guo ◽

Yu Liu ◽

Yuan Lin ◽

Yu Tian ◽

Jinxing Zhang ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interfacial Effect ◽

Infrared Photodetector ◽

The Finite Element Method ◽

Ferroelectric Domains ◽

Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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