Effects of Two-Temperature on Rayleigh Wave in Generalized Magneto-Thermoelastic Media With Hydrostatic Initial Stress

2019 ◽  
Vol 141 (7) ◽  
pp. 072002 ◽  
Author(s):  
Sangeeta Kumari ◽  
Bharti ◽  
Baljeet Singh
Keyword(s):  
Rayleigh Wave ◽  
Initial Stress ◽  
Hydrostatic Initial Stress ◽  
Two Temperature

Effects of Two-Temperature, Rotation, Initial Stressed Magnetic Field on Rayleigh Wave in Half-Plane

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Heena Sharma ◽  
Sangeeta Kumari
Keyword(s):  
Rayleigh Wave ◽  
Initial Stress ◽  
Secular Equation ◽  
Attenuation Factor ◽  
Radiation Condition ◽  
Amplitude Attenuation ◽  
Temperature Parameter ◽  
Velocity Of Propagation ◽  
Generalized Thermoelastic ◽  
Two Temperature

Abstract In the present paper, we consider the governing equation for generalized thermoelastic media under the effect of magnetic fleld, rotation, initial stress, and two-temperature parameter for Rayleigh wave in half-space. The secular equation of Rayleigh wave is also deduced using surface wave solution, which also satisfy the radiation condition for thermally insulated/isothermal surface. The velocity and amplitude attenuation factor of Rayleigh wave is also computed for a particular material. The effect of two-temperature, rotation, and initial stress parameters on velocity of propagation and amplitude attenuation factor is shown graphically.

Two-temperature generalized magneto-thermoelastic medium for dual-phase-lag model under the effect of gravity field and hydrostatic initial stress

2016 ◽  
Vol 12 (2) ◽  
pp. 362-383 ◽  
Author(s):  
Samia M Said
Keyword(s):  
Magnetic Field ◽  
Gravity Field ◽  
Initial Stress ◽  
Mode Analysis ◽  
Phase Lag ◽  
Temperature Dependent ◽  
Content Type ◽  
Temperature Dependent Properties ◽  
Hydrostatic Initial Stress ◽  
Two Temperature

Purpose – The dual-phase-lag (DPL) model and Lord-Shulman theory with one relaxation time are applied to study the effect of the gravity field, the magnetic field, and the hydrostatic initial stress on the wave propagation in a two-temperature generalized thermoelastic problem for a medium with an internal heat source that is moving with a constant speed. 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 in the absence and presence of the gravity field as well as the magnetic field. Comparisons are made between the results of the two different models with and without temperature dependent properties and for two different values of the hydrostatic initial stress. A comparison is also made between the results of the two different models for two different values of the time. Originality/value – In the present work, the author shall formulate a two-temperature generalized magneto-thermoelastic problem for a medium with temperature dependent properties and with an internal heat source that is moving with a constant speed under the influence of a gravity field and a hydrostatic initial stress. Normal mode analysis is used to obtain the exact expressions for the displacement components, thermodynamic temperature, conductive temperature, and stress components. A comparison is carried out between the considered variables as calculated from the generalized thermoelasticity based on the DPL model and the L-S theory in the absence and presence of a magnetic field as well as a gravity field. Comparisons are also made between the results of the two theories with and without temperature dependent properties and for two different values of hydrostatic initial stress. A comparison is also made between the results of the two different models for two different values of the time.

scholarly journals Elastic Wave Motions and an Electromagnetic Field for a Photothermal Theory with Two Temperature under Hydrostatic Initial Stress

2016 ◽  
Author(s):  
Khaled Lotfy ◽  
Wafaa Hassan
Keyword(s):  
Initial Stress ◽  
Carrier Density ◽  
Harmonic Wave ◽  
Normal Mode Analysis ◽  
Displacement Component ◽  
Mode Analysis ◽  
Coupling Parameters ◽  
Temperature Parameter ◽  
Hydrostatic Initial Stress ◽  
Two Temperature

This paper investigates the influence of magnetic field for a two dimensional deformations on a two temperature problem at the free surface of a semi-infinite semiconducting medium under the effect of mechanical force during a photothermal theory and the effect of hydrostatic initial stress on the medium. The Harmonic Wave Method (Normal Mode Analysis) has been used to obtain the equations of elastic waves, heat conduction equation, quasi-static electric field, carrier density, two temperature coefficient, ratios, and constitutive relationships for the thermo-magnetic-electric medium. The effects of several parameters as thermoelastic and thermoelectric coupling parameters and two temperature parameter of this force on the displacement component, force stress, carrier density and temperature distribution has been depicted graphically.

On Rayleigh wave in generalized magneto-thermoelastic media with hydrostatic initial stress

2012 ◽  
Vol 60 (2) ◽  
pp. 349-352 ◽  
Author(s):  
B. Singh ◽  
S. Kumari ◽  
J. Singh
Keyword(s):  
Rayleigh Wave ◽  
Initial Stress ◽  
Half Space ◽  
Attenuation Factor ◽  
Frequency Equation ◽  
Thermal Coupling ◽  
Reduced Frequency ◽  
Amplitude Attenuation ◽  
Velocity Of Propagation ◽  
Hydrostatic Initial Stress

Abstract. The governing equations of generalized magneto-thermoelasticity with hydrostatic initial stress are solved for surface wave solutions. The particular solutions in the half-space are applied to the boundary conditions at the free surface of the half-space to obtain the frequency equation of Rayleigh wave. The frequency equation is approximated for small thermal coupling and small reduced frequency. The velocity of propagation and amplitude-attenuation factor of Rayleigh wave are computed numerically for a particular material. Effects of magnetic field and hydrostatic initial stress on the velocity of the propagation and amplitude-attenuation factor are shown graphically.

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