Reflection of Magneto-thermoelastic Waves under Thermoelasticity without Energy Dissipation

2002 ◽  
Vol 3 (3-4) ◽  
Author(s):  
Ya-Qin Song ◽  
Yuan-Chong Zhang
Keyword(s):  
Energy Dissipation ◽  
Without Energy Dissipation ◽  
Thermoelastic Waves

scholarly journals The Effect of a Hyperbolic Two-Temperature Model with and without Energy Dissipation in a Semiconductor Material

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1711
Author(s):  
Faris Alzahrani ◽  
Ibrahim Abbas
Keyword(s):  
Energy Dissipation ◽  
Thermodynamic Temperature ◽  
Temperature Model ◽  
Conductive Temperature ◽  
Mechanical Waves ◽  
Without Energy Dissipation ◽  
Thermoelastic Waves ◽  
Analytical Expressions ◽  
Thermoelastic Theory ◽  
Two Temperature

In this work, the new model of photothermal and elastic waves, with and without energy dissipation, under a hyperbolic two-temperature model, is used to compute the displacement, carrier density, thermodynamic temperature, conductive temperature and stress in a semiconductor medium. The medium is considered in the presence of the coupling of plasma and thermoelastic waves. To get the complete analytical expressions of the main physical fields, Laplace transforms and the eigenvalue scheme are used. The outcomes are presented graphically to display the differences between the classical two-temperature theory and the new hyperbolic two-temperature theory, with and without energy dissipation. Based on the numerical results, the hyperbolic two-temperature thermoelastic theory offers a finite speed of mechanical waves and propagation of thermal waves.

scholarly journals Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity

2000 ◽  
Vol 23 (8) ◽  
pp. 555-562 ◽  
Author(s):  
D. S. Chandrasekharaiah ◽  
K. S. Srinath
Keyword(s):  
Energy Dissipation ◽  
Spherical Cavity ◽  
Small Time ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Thermoelastic Body ◽  
Without Energy Dissipation ◽  
The Waves ◽  
Thermoelastic Waves ◽  
Stress Free Boundary

The linear theory of thermoelasticity without energy dissipation is employed to study waves emanating from the boundary of a spherical cavity in a homogeneous and isotropic unbounded thermoelastic body. The waves are supposed to be spherically symmetric and caused by a constant step in temperature applied to the stress-free boundary of the cavity. Small-time solutions for the displacement, temperature, and stress fields are obtained by using the Laplace transform technique. It is found that there exist two coupled waves, of which one is predominantly elastic and the other is predominantly thermal, both propagating with finite speeds but with no exponential attenuation. Exact expressions for discontinuities in the field functions that occur at the wavefronts are computed and analysed. The results are compared with those obtained earlier in the contexts of some other models of thermoelasticity.

scholarly journals Thermoelastic wave propagation in a rotating elastic medium without energy dissipation

2005 ◽  
Vol 2005 (1) ◽  
pp. 99-107 ◽  
Author(s):  
S. K. Roychoudhuri ◽  
Nupur Bandyopadhyay
Keyword(s):  
Energy Dissipation ◽  
Dispersion Equation ◽  
Shear Wave ◽  
Wave Speed ◽  
Wave Speeds ◽  
First Order ◽  
Thermoelasticity Theory ◽  
General Dispersion ◽  
Without Energy Dissipation ◽  
Thermoelastic Waves

A study is made of the propagation of time-harmonic plane thermoelastic waves of assigned frequency in an infinite rotating medium using Green-Naghdi model (1993) of linear thermoelasticity without energy dissipation. A more general dispersion equation is derived to examine the effect of rotation on the phase velocity of the modified coupled thermal dilatational shear waves. It is observed that in thermoelasticity theory of type II (Green-Naghdi model), the modified coupled dilatational thermal waves propagate unattenuated in contrast to the classical thermoelasticity theory, where the thermoelastic waves undergo attenuation (Parkus, Chadwick, and Sneddon). The solutions of the more general dispersion equation are obtained for small thermoelastic coupling by perturbation technique. Cases of high and low frequencies are also analyzed. The rotation of the medium affects both quasielastic dilatational and shear wave speeds to the first order inωfor low frequency, while the quasithermal wave speed is affected by rotation up to the second power inω. However, for large frequency, rotation influences both the quasidilatational and shear wave speeds to first order inωand the quasithermal wave speed to the second order in1/ω.

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