<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This 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.</p></abstract>

This 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 two-temperature on thermoelastic medium with diffusion due to three phase-lag model

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper is concerned on the distribution of a homogeneous isotropic elastic medium with diffusion under the effect of Three-phase-lag model. Normal mode...

σ_ij	Components of stress tensor
e = e_kk	Cubic dilatation
u,v	Displacement vectors
T_o	Reference Temperature
P	Chemical potential
λ, μ	Lame’s constants
α_t	Coefficient of linear thermal expansion
α_c	Coefficient of diffusion thermal expansion
C_E	Specific heat at constant strain
K^*	Material characteristic of the theory
τ_q	Phase lag of Heat flux
d	Thermoplastic diffusion constant
∇²	$\frac{\partial^{2}}{\partial x^{2}} + \frac{\partial^{2}}{\partial y^{2}} + \frac{\partial^{2}}{\partial z^{2}}$ $\begin{array}{} \displaystyle \frac{{{\partial ^2}}}{{\partial {x^2}}} + \frac{{{\partial ^2}}}{{\partial {y^2}}} + \frac{{{\partial ^2}}}{{\partial {z^2}}} \end{array}$
e_ij	Components of strain tensor
δ_ij	Kronecker’s delta
T	Thermodynamic Temperature
φ	Conductive temperature
C	Concentration distribution
γ	(3λ + 2μ)α_t
β₁	(3λ + 2μ)α_c
ρ	Density
K	Coefficient of thermal conductivity
τ_v	Phase lag of thermal displacement gradient
τ_T	Phase lag of temperature gradient
τ	Diffusion relaxation time

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

Data publikacji: 27 cze 2017

Zakres stron: 259 - 270

Otrzymano: 09 mar 2017

Przyjęty: 27 cze 2017

DOI: https://doi.org/10.21042/AMNS.2017.1.00022

Słowa kluczowe
Generalized thermoelastic diffusion, three-phase-lag model, GNIII

© 2017 Sarhan Y. Atwa, M. K. Ammar, Eman Ibrahim, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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Nomenclature

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

Data publikacji: 27 cze 2017

Zakres stron: 259 - 270

Otrzymano: 09 mar 2017

Przyjęty: 27 cze 2017

DOI: https://doi.org/10.21042/AMNS.2017.1.00022

Słowa kluczoweGeneralized thermoelastic diffusion, three-phase-lag model, GNIII

© 2017 Sarhan Y. Atwa, M. K. Ammar, Eman Ibrahim, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Nomenclature

Słowa kluczowe
Generalized thermoelastic diffusion, three-phase-lag model, GNIII