Thermodynamical interactions in a two-temperature dual-phase-lag micropolar thermoelasticity with gravity

2018 ◽  
Vol 14 (1) ◽  
pp. 102-124 ◽  
Author(s):  
Sunita Deswal ◽  
Baljit Singh Punia ◽  
Kapil Kumar Kalkal
Keyword(s):  
Normal Mode ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Phase Lag ◽  
Dual Phase ◽  
Transient Wave ◽  
Content Type ◽  
Temperature Parameter ◽  
Physical Quantities ◽  
Two Temperature

Purpose The dual-phase-lag (DPL) model is applied to study the effect of the gravity field and micropolarity on the wave propagation in a two-temperature generalized thermoelastic problem for a medium. The paper aims to discuss this issue. Design/methodology/approach The exact expressions of the considered variables are obtained by using normal mode analysis. Findings Numerical results for the field quantities are given in the physical domain and illustrated graphically to show the effect of angle of inclination. Comparisons of the physical quantities are also shown in figure to study the effect of gravity and two-temperature parameter. Originality/value This paper is concerned with the analysis of transient wave phenomena in a micropolar thermoelastic half-space subjected to inclined load. The governing equations are formulated in the context of two-temperature generalized thermoelasticity theory with DPLs. A medium is assumed to be initially quiescent and under the effect of gravity. An analytical solution of the problem is obtained by employing normal mode analysis. Numerical estimates of displacement, stresses and temperatures are computed for magnesium crystal-like material and are illustrated graphically. Comparisons of the physical quantities are shown in figures to study the effects of gravity, two-temperature parameter and angle of inclination. Some particular cases of interest have also been inferred from the present problem.

Effect of gravity on generalized thermoelastic diffusion due to laser pulse using dual-phase-lag model

2018 ◽  
Vol 14 (3) ◽  
pp. 457-481 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
Ebtesam E.M. Eraki
Keyword(s):  
Plane Surface ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Graphical Form ◽  
Phase Lag ◽  
Dual Phase ◽  
Field Equations ◽  
Gaussian Laser Beam ◽  
Content Type ◽  
Non Gaussian

Purpose The purpose of this paper is to obtain a general solution to the field equations of generalized thermo-diffusion in an infinite thermoelastic body under the effect of gravity in the context of the dual-phase-lag (DPL) model. The half space is considered made of an isotropic homogeneous thermoelastic material. The boundary plane surface is heated by a non-Gaussian laser beam. Design/methodology/approach An exact solution to the problem is obtained using the normal mode analysis. Findings The derived expressions are computed numerically for copper and the results are presented in graphical form. Originality/value Comparisons are made with the results predicted by Lord-Shulman theory and DPL model for different values of time and in the presence and absence of gravity as well as diffusion.

The effect of magnetic field on generalized thermoelastic medium with two temperature under three phase lag model

2015 ◽  
Vol 11 (4) ◽  
pp. 544-557 ◽  
Author(s):  
Mohamed I. Othman ◽  
W. M. Hasona ◽  
Nehal T. Mansour
Keyword(s):  
Magnetic Field ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Phase Lag ◽  
Thermoelastic Medium ◽  
Content Type ◽  
Conductive Temperature ◽  
Three Phase ◽  
Generalized Thermoelastic ◽  
Two Temperature

Purpose – The purpose of this paper is to introduce the Lord-Shulman (L-S), Green-Naghdi of type III (G-N III) and three phase lag (3PHL) theories to study the effect of a magnetic field on generalized thermoelastic medium with two temperature. Design/methodology/approach – The problem has been solved numerically by using the normal mode analysis. Findings – The problem is used to obtain the analytical expressions of the displacement components, force stress, thermodynamic temperature and conductive temperature. The numerical results are given and presented graphically thermal force is applied. Comparisons are made with the results predicted by 3PHL, G-N III and L-S in the presence and absence of magnetic field as well as two temperature. Originality/value – Generalized thermoelastic medium.

scholarly journals Effect of rotation on a semiconducting medium with two-temperatures under L-S theory

2017 ◽  
Vol 38 (2) ◽  
pp. 101-122 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
Ramadan S. Tantawi ◽  
Ebtesam E.M. Eraki
Keyword(s):  
Relaxation Time ◽  
Angular Velocity ◽  
Elastic Medium ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Generalized Thermoelasticity ◽  
Mode Analysis ◽  
Temperature Parameter ◽  
Two Temperatures ◽  
Two Temperature

AbstractThe model of the equations of generalized thermoelasticity in a semi-conducting medium with two-temperature is established. The entire elastic medium is rotated with a uniform angular velocity. The formulation is applied under Lord-Schulman theory with one relaxation time. The normal mode analysis is used to obtain the expressions for the considered variables. Also some particular cases are discussed in the context of the problem. Numerical results for the considered variables are obtained and illustrated graphically. Comparisons are also made with the results predicted in the absence and presence of rotation as well as two-temperature parameter.

Effect of initial stress and rotation on magneto-thermoelastic material with voids and energy dissipation

2017 ◽  
Vol 13 (2) ◽  
pp. 331-346 ◽  
Author(s):  
Mohamed Ibrahim A. Othman ◽  
Mohamed Ibrahim M. Hilal
Keyword(s):  
Laser Pulse ◽  
Initial Stress ◽  
Pulse Heating ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Content Type ◽  
Thermoelastic Material ◽  
Analysis Technique ◽  
Laser Pulse Heating ◽  
Physical Quantities

Purpose The purpose of this paper is to study the effect of rotation and initial stress on magneto-thermoelastic material with voids heated by a laser pulse heating. Design/methodology/approach The analytical method used was the normal mode analysis technique. Findings Numerical results for the physical quantities were presented graphically and analyzed. The graphical results indicate that the effect of rotation, initial stress and magnetic fields are observable physical effects on the thermoelastic material with voids heated by a laser pulse. Comparisons are made with the results in the absence and the presence of the physical operators, also at various times. Originality/value In the present work, the authors shall investigate the effect of the rotation, initial stress, magnetic field and laser pulse on thermoelastic material with voids subjected to a laser pulse heating acting as a thermal shock. A comparison is also made between the two types (types II and III) of Green-Naghdi theory in the absence and the presence of the physical operators. Such problems are very important in many dynamical systems.

scholarly journals Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Kh. Lotfy ◽  
Wafaa Hassan
Keyword(s):  
Thermal Shock ◽  
Half Space ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Generalized Thermoelasticity ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Field Equations ◽  
Conductive Temperature ◽  
Two Temperature

The theory of two-temperature generalized thermoelasticity based on the theory of Youssef is used to solve boundary value problems of two-dimensional half-space. The governing equations are solved using normal mode method under the purview of the Lord-Şhulman (LS) and the classical dynamical coupled theory (CD). The general solution obtained is applied to a specific problem of a half-space subjected to one type of heating, the thermal shock type. We study the influence of rotation on the total deformation of thermoelastic half-space and the interaction with each other under the influence of two temperature theory. The material is homogeneous isotropic elastic half-space. The methodology applied here is use of the normal mode analysis techniques that are used to solve the resulting nondimensional coupled field equations for the two theories. Numerical results for the displacement components, force stresses, and temperature distribution are presented graphically and discussed. The conductive temperature, the dynamical temperature, the stress, and the strain distributions are shown graphically with some comparisons.

Three-Dimensional Thermoelastic Problem Under Two-Temperature Theory

2017 ◽  
Vol 14 (03) ◽  
pp. 1750030 ◽  
Author(s):  
Abhik Sur ◽  
M. Kanoria
Keyword(s):  
Thermal Loading ◽  
Normal Mode Analysis ◽  
Three Dimensional ◽  
Thermodynamic Temperature ◽  
Mode Analysis ◽  
Phase Lag ◽  
Field Equations ◽  
Conductive Temperature ◽  
Lag Model ◽  
Two Temperature

The present paper deals with the problem of thermoelastic interactions in a homogeneous, isotropic three-dimensional medium whose surface suffers a time dependent thermal loading. The problem is treated on the basis of three-phase-lag model and dual-phase-lag model with two temperatures. The medium is assumed to be unstressed initially and has uniform temperature. Normal mode analysis technique is employed onto the non-dimensional field equations to derive the exact expressions for displacement component, conductive temperature, thermodynamic temperature, stress and strain. The problem is illustrated by computing the numerical values of the field variables for a copper material. Finally, all the physical fields are represented graphically to analyze the difference between the two models. The effect of the two temperature parameter is also discussed.

scholarly journals Harmonic waves solution in dual-phase-lag magneto-thermoelasticity

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 8-15 ◽  
Author(s):  
Muhammad Rafiq ◽  
Baljeet Singh ◽  
Samreen Arifa ◽  
Muhammad Nazeer ◽  
Muhammad Usman ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Normal Mode Analysis ◽  
Attenuation Factor ◽  
Plane Waves ◽  
Elastic Solid ◽  
Mode Analysis ◽  
Phase Lag ◽  
Harmonic Waves ◽  
Dual Phase ◽  
Analytical Technique

Abstract The current work analyzes the transmission behavior of plane harmonic waves in an isotropic medium. The observation is made for homogeneous type solid in the context of generalized dual phase lag model of thermoelasticity. Concept micro-temperature, where the microelements have different temperatures has also been considered. The basic focus of thework is to predict the influence of initially applied magnetic field on plane waves through the elastic solid. We have made an attempt to find exact solution of the problem using an analytical technique of a normal mode analysis method. The theoretical results are obtained for a generalized solid in order to test the numerical calculation of a magnesium crystal. It is found that the magnetic field reduces the strength of the attenuation factor.

scholarly journals Normal Mode Analysis of Generalized Magneto-Thermoelastic Medium with Initial Stress Under Green-Naghdi Theory

2020 ◽  
Vol 35 (4) ◽  
pp. 313-325
Author(s):  
Alzaerah Ramadhan Mohammed Aldeeb
Keyword(s):  
Magnetic Field ◽  
Initial Stress ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Energy Dispersion ◽  
Elasticity Equations ◽  
Physical Quantities ◽  
The Magnetic Field ◽  
Research Show

The normal mode analysis method was used to study the effect of both the initial stress and the magnetic field on a thermally elastic body. This method is used to obtain the exact expressions for the considered variables. Some particular cases are also discussed in the context of the problem. The generalized thermal elasticity equations were reviewed under the influence of the basic initial stress and the magnetic field using the theory (Green-Naghdi) of the second and third types (the second type with no energy dispersion and the third type with energy dispersion). The different physical quantities were illustrated in the presence and absence of both the initial stress and the magnetic field. The results of this research show the extent of difference between the second and third types of Green and Naghdi's theory. All results and figures were obtained using (MATLAB R2013a) program

Effect of rotation and gravity on generalized thermo-viscoelastic medium with voids

2018 ◽  
Vol 14 (2) ◽  
pp. 322-338 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
Montaser Fekry
Keyword(s):  
Viscoelastic Material ◽  
Viscoelastic Medium ◽  
Normal Mode Analysis ◽  
Relaxation Times ◽  
Mode Analysis ◽  
Content Type ◽  
Analysis Technique ◽  
Effects Of Rotation ◽  
Physical Quantities ◽  
Coupled Theory

PurposeThe purpose of this paper is to study the effect of rotation and gravity on a homogeneous, isotropic, and generalized thermo-viscoelastic material with voids. The problem is studied in the context of the coupled theory, Lord-Shulman theory with one relaxation time, and Green-Lindsay theory with two relaxation times.Design/methodology/approachThe analytical method used was the normal mode analysis technique.FindingsNumerical results for the physical quantities were analyzed and presented graphically. The graphical results indicated that the effects of rotation and gravity were observable physical effects on the thermo-viscoelastic material with voids. Comparisons were made between the results obtained in the absence and presence of rotation and gravity.Originality/valueIn the present work, the authors investigated the effect of rotation and gravity on thermo-viscoelastic medium with voids. Comparisons were also made between the three theories in the absence and the presence of rotation and gravity. Such problems are very important in many dynamical systems.

scholarly journals The effect of two-temperature on thermoelastic medium with diffusion due to three phase-lag model

2017 ◽  
Vol 2 (1) ◽  
pp. 259-270 ◽  
Author(s):  
Sarhan Y. Atwa ◽  
M. K. Ammar ◽  
Eman Ibrahim
Keyword(s):  
Elastic Medium ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Phase Lag ◽  
Thermoelastic Medium ◽  
Three Phase ◽  
Lag Model ◽  
Isotropic Elastic Medium ◽  
Two Temperature ◽  
Made In

AbstractThis paper is concerned on the distribution of a homogeneous isotropic elastic medium with diffusion under the effect of Three-phase-lag model. Normal mode analysis is used to express the exact expressions for temperature, displacements and stresses functions. Comparisons are made in the absence and presence of diffusion with some theories like Three-phase-lag and GNIII.

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