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.

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.

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.

The effect of temperature-dependent properties on generalized magneto-thermo-elastic medium with two-temperature under three-phase-lag model

2017 ◽  
Vol 13 (1) ◽  
pp. 122-134 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
Yassmin D. Elmaklizi ◽  
Nehal T. Mansoure
Keyword(s):  
Magnetic Field ◽  
Elastic Medium ◽  
Modulus Of Elasticity ◽  
Phase Lag ◽  
Temperature Dependent ◽  
Content Type ◽  
Three Phase ◽  
Lag Model ◽  
Temperature Dependent Properties ◽  
Two Temperature

Purpose The purpose of this paper is to investigate the propagation of plane waves in an isotropic elastic medium under the effect of rotation, magnetic field and temperature-dependent properties with two‐temperatures. Design/methodology/approach The problem has been solved analytically by using the normal mode analysis. Findings The numerical results are given and presented graphically when mechanical and thermal force are applied. Comparisons are made with the results predicted by the three-phase-lag (3PHL) model and dual-phase-lag model in the presence and absence of cases where the modulus of elasticity is independent of temperature. Originality/value In this work, the authors study the influence of rotation and magnetic field with two‐temperature on thermoelastic isotropic medium when the modulus of elasticity is taken as a linear function of reference temperature in the context of the 3PHL model. The numerical results for the field quantities are obtained and represented graphically.

A novel model of plane waves of two-temperature fiber-reinforced thermoelastic medium under the effect of gravity with three-phase-lag model

2019 ◽  
Vol 29 (12) ◽  
pp. 4788-4806 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
Samia Said ◽  
Marin Marin
Keyword(s):  
Energy Dissipation ◽  
Plane Waves ◽  
Mode Analysis ◽  
Phase Lag ◽  
Fiber Reinforced ◽  
Thermoelastic Medium ◽  
Content Type ◽  
Three Phase ◽  
Novel Model ◽  
Two Temperature

Purpose In the present paper, the three-phase-lag (3PHL) model, Green-Naghdi theory without energy dissipation (G-N II) and Green-Naghdi theory with energy dissipation (G-N III) are used to study the influence of the gravity field on a two-temperature fiber-reinforced thermoelastic medium. Design/methodology/approach The analytical expressions for the displacement components, the force stresses, the thermodynamic temperature and the conductive temperature are obtained in the physical domain by using normal mode analysis. Findings The variations of the considered variables with the horizontal distance are illustrated graphically. Some comparisons of the thermo-physical quantities are shown in the figures to study the effect of the gravity, the two-temperature parameter and the reinforcement. Also, the effect of time on the physical fields is observed. Originality/value To the best of the author’s knowledge, this model is a novel model of plane waves of two-temperature fiber-reinforced thermoelastic medium, and gravity plays an important role in the wave propagation of the field quantities. It explains that there are significant differences in the field quantities under the G-N II theory, the G-N III theory and the 3PHL model because of the phase-lag of temperature gradient and the phase-lag of heat flux.

The effect of initial stress on generalized thermoelastic medium with three-phase-lag model under temperature-dependent properties

2014 ◽  
Vol 92 (5) ◽  
pp. 448-457 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
W.M. Hasona ◽  
Ebtesam E.M. Eraki
Keyword(s):  
Initial Stress ◽  
Modulus Of Elasticity ◽  
Thermal Stresses ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Phase Lag ◽  
Temperature Dependent ◽  
Three Phase ◽  
Lag Model ◽  
Temperature Dependent Properties

The present paper attempts to investigate the propagation of plane waves in an isotropic elastic medium under the effect of initial stress and temperature-dependent properties. The modulus of elasticity is taken as a linear function of reference temperature. The formulation is applied under the thermoelasticity theory with three-phase-lag, proposed by Choudhuri (J. Thermal Stresses, 30, 231 (2007)). Normal mode analysis is used to obtain the expressions for the displacement components, the temperature, the stress, and the strain components. Numerical results for the field quantities are given in the physical domain and illustrated graphically. Comparisons are made with the results predicted by different theories (Lord–Shulman theory, the theory of thermoelasticity type III, and the three-phase-lag model) in the absence and presence of the initial stress as well as the case where the modulus of elasticity is independent of temperature.

scholarly journals Electromagnetic Field and Three-Phase-Lag in a Compressed Rotating Isotropic Homogeneous Micropolar Thermo-Viscoelastic Half-Space

2020 ◽  
Author(s):  
S.M. Abo-Dahab ◽  
A. Abd-Alla ◽  
araby kilany
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Initial Stress ◽  
Half Space ◽  
Viscoelastic Medium ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Phase Lag ◽  
Three Phase ◽  
The Impact

A unified mathematical model of three-phase-lag in a compressed rotating isotropic homogeneous micropolar thermo-viscoelastic medium based on a ramp type thermal shock is developed. An application of this model is carried out to resolve the problem of a perfectly conducting half-space subjected to certain boundary conditions in the presence of an electromagnetic field. Lame’s potentials and normal mode analysis techniques are employed to get the general analytical solutions. Specific attention is paid to explore the impact of the rotation, magnetic field, ramp time, as well as initial stress on the distributions of temperature, displacement, stress, and induced electric and magnetic distribution. The findings show that the impact of the rotation, magnetic field, viscous, ramp parameter, initial stress, and phase-lag on the micropolar thermo-viscoelastic medium is noticeable.

Effect of magnetic field and gravity on two-temperature thermomicrostretch elastic medium under dual-phase lag model

2019 ◽  
Vol 94 (1) ◽  
pp. 69-79
Author(s):  
Mohamed I. A. Othman ◽  
Magda E. M. Zidan ◽  
Ibrahim E. A. Mohamed
Keyword(s):  
Magnetic Field ◽  
Elastic Medium ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model ◽  
Two Temperature
Sign in / Sign up

Export Citation Format

Share Document