Rayleigh waves in a thermoelastic solid half space using dual-phase-lag model

2011 ◽  
Vol 49 (8) ◽  
pp. 781-791 ◽  
Author(s):  
Ahmed E. Abouelregal
Keyword(s):  
Half Space ◽  
Rayleigh Waves ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model ◽  
Thermoelastic Solid

The Reflection of Magneto-Thermoelastic P and SV Waves at a Solid Half Space Using Dual-Phase-Lag Model

2011 ◽  
Vol 3 (6) ◽  
pp. 745-758
Author(s):  
Ahmed E. Abouelregal
Keyword(s):  
Reflection Coefficients ◽  
Transfer Model ◽  
Phase Lag ◽  
Dual Phase ◽  
Angle Of Incidence ◽  
Lag Model ◽  
Phase Lags ◽  
Energy Ratios ◽  
Thermoelastic Solid ◽  
P And Sv Waves

AbstractThe dual-phase-lag heat transfer model is employed to study the reflection phenomena of P and SV waves from a surface of a semi-infinite magneto-thermoelastic solid. The ratios of reflection coefficients to that of incident coefficients are obtained for P- and SV-wave cases. The results for partition of the energy for various values of the angle of incidence are computed numerically under the stress-free and rigidly fixed thermally insulated boundaries. The reflection coefficients are depending on the angle of incidence, magnetic field, phase lags and other material constants. Results show that the sum of energy ratios is unity at the interface. The results are discussed and depicted graphically.

Stochastic thermoelastic interaction under a dual phase-lag model due to random temperature distribution at the boundary of a half-space

2018 ◽  
Vol 24 (6) ◽  
pp. 1873-1892 ◽  
Author(s):  
Manushi Gupta ◽  
Santwana Mukhopadhyay
Keyword(s):  
Boundary Conditions ◽  
Stochastic Simulation ◽  
Half Space ◽  
Phase Lag ◽  
Dual Phase ◽  
Sample Paths ◽  
Stochastic Conditions ◽  
Stochastic Case ◽  
Lag Model ◽  
Short Time

In the present work, we discuss the thermoelastic interactions in a half-space in the context of the theory of dual phase-lag thermoelasticity due to stochastic conditions applied at the boundary. We consider a one-dimensional problem with traction-free boundary subjected to two types of time-dependent thermal distributions. The boundary conditions are assumed to be random in nature to make the problem more realistic and the noise added is considered to be white noise. The problem is solved using Laplace transform and short time approximation is used to find the approximate solution for field variables while taking the inverse transforms. The solution for the stochastic case has been obtained by using the concept of a Wiener process and stochastic simulation. Numerical analysis based on stochastic simulation is carried out using copper material along different sample paths and comparative analysis between the deterministic and the stochastic distributions of field variables is presented. Special attention is paid to highlight the effects of considering randomness added to the boundary conditions.

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