scholarly journals Comments on “Effect of fractional parameter on plane waves of generalized magneto-thermoelastic diffusion with reference temperature-dependent elastic medium” [Comput. Math. Appl. 65 (2013) 1104–1118]

2014 ◽  
Vol 67 (5) ◽  
pp. 997-998 ◽  
Author(s):  
Mohamed A.E. Herzallah
Keyword(s):  
Elastic Medium ◽  
Plane Waves ◽  
Reference Temperature ◽  
Temperature Dependent ◽  
Thermoelastic Diffusion ◽  
Fractional Parameter

EFFECT OF FRACTIONAL PARAMETER ON PLANE WAVES IN A ROTATING ELASTIC MEDIUM UNDER FRACTIONAL ORDER GENERALIZED THERMOELASTICITY

2012 ◽  
Vol 04 (03) ◽  
pp. 1250030 ◽  
Author(s):  
NANTU SARKAR ◽  
ABHIJIT LAHIRI
Keyword(s):  
Elastic Medium ◽  
Fractional Order ◽  
Normal Mode Analysis ◽  
Plane Waves ◽  
Generalized Thermoelasticity ◽  
Time Instant ◽  
Mode Analysis ◽  
Analysis Technique ◽  
Thermally Conducting ◽  
Fractional Parameter

In ["Theory of fractional order generalized thermoelasticity," Journal of Heat Transfer132, 2010] Youssef has proposed a model in generalized thermoelasticity based on the fractional order time derivatives. The current manuscript is concerned with a two-dimensional generalized thermoelastic coupled problem for a homogeneous isotropic and thermally conducting thermoelastic rotating medium in the context of the above fractional order generalized thermoelasticity with two relaxation time parameters. The normal mode analysis technique is used to solve the resulting non-dimensional coupled governing equations of the problem. The resulting solution is then applied to two concrete problems. The effect of the fractional parameter and the time instant on the variations of different field quantities inside the elastic medium are analyzed graphically in the presence of rotation.

Reflection of Plane Waves in a Rotating Temperature-Dependent Thermoelastic Solid with Diffusion

2012 ◽  
Vol 28 (4) ◽  
pp. 599-606
Author(s):  
B. Singh ◽  
L. Singh ◽  
S. Deswal
Keyword(s):  
Half Space ◽  
Plane Waves ◽  
Reflection Coefficients ◽  
Angle Of Incidence ◽  
Governing Equations ◽  
Temperature Dependent ◽  
Reflected Waves ◽  
Energy Ratios ◽  
Rotation Parameters ◽  
Thermoelastic Solid

ABSTRACTThe governing equations of a model of rotating generalized thermoelastic diffusion in an isotropic medium with temperature-dependent mechanical properties are formulated in context of Lord-Shulman theory of generalized thermoelasticity. The modulus of elasticity is taken as a linear function of reference temperature. The solution of the governing equations indicates the existence of four coupled plane waves in x-z plane. The reflection of plane waves from the free surface of a rotating temperature-dependent thermoelastic solid half-space with diffusion is considered. The required boundary conditions are satisfied by the appropriate potentials for incident and reflected waves in the half-space to obtain a system of four non-homogeneous equations in the reflection coefficients. The expressions for energy ratios of the reflected waves are also obtained. The reflection coefficients and energy ratios are found to depend upon the angle of incidence, reference temperature, thermodiffusion and rotation parameters. Aluminum material is modeled as the half-space to compute the absolute values of the reflection coefficients and the energy ratios. Effects of temperature dependence and rotation parameters on the reflection coefficients and energy ratios are shown graphically for a certain range of the angle of incidence of the incident plane wave.

Elastodynamic Response of a Three-Phase-Lag Model of Orthorhombic Thermoviscoelastic Material with Reference Temperature Dependent Properties

2020 ◽  
Vol 08 (01n02) ◽  
pp. 2050002
Author(s):  
Leena Rani
Keyword(s):  
Reference Temperature ◽  
Phase Lag ◽  
Physical Domain ◽  
Temperature Dependent ◽  
Eigenvalue Approach ◽  
Coupled Equations ◽  
Three Phase ◽  
Lag Model ◽  
Temperature Dependent Properties ◽  
Thermally Conducting

A three-phase-lag model of a homogeneous thermally conducting orthorhombic thermoviscoelastic material under the effect of the dependence of reference temperature on all elastic and thermal parameters is investigated. The Laplace and Fourier transform and eigenvalue approach techniques are used to solve the resulting nondimensional coupled equations. As an application of the problem, harmonically varying and sinusoidal pulse functions are considered. Numerical results for the field quantities are given in the physical domain and illustrated graphically. Comparisons are made for thermoviscoelastic temperature dependent, thermoviscoelastic and thermoelastic materials, respectively, for different values of time, for temperature gradient boundary.

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