Thermoelastic wave propagation in a piezoelectric layered half-space within the dual-phase-lag model

2021 ◽  
Vol 136 (5) ◽  
Author(s):  
Ethar A. A. Ahmed ◽  
A. R. El Dhaba ◽  
M. S. Abou-Dina ◽  
A. F. Ghaleb
Keyword(s):  
Wave Propagation ◽  
Half Space ◽  
Phase Lag ◽  
Dual Phase ◽  
Thermoelastic Wave ◽  
Lag Model ◽  
Layered Half Space

Plane wave propagation in a piezo-thermoelastic rotating medium within the dual-phase-lag model

2019 ◽  
Vol 26 (3) ◽  
pp. 969-979 ◽  
Author(s):  
Ethar A. A. Ahmed ◽  
M. S. Abou-Dina ◽  
A. F. Ghaleb
Keyword(s):  
Wave Propagation ◽  
Plane Wave ◽  
Phase Lag ◽  
Dual Phase ◽  
Rotating Medium ◽  
Lag Model ◽  
Plane Wave Propagation

The effect of dual-phase-lag model on reflection of thermoelastic waves in a solid half space with variable material properties

2013 ◽  
Vol 26 (6) ◽  
pp. 659-670 ◽  
Author(s):  
A.M. Zenkour ◽  
D.S. Mashat ◽  
A.E. Abouelregal
Keyword(s):  
Half Space ◽  
Material Properties ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model ◽  
Thermoelastic Waves

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

Generalized thermoelastic interaction in a two-dimensional porous medium under dual phase lag model

2020 ◽  
Vol 30 (11) ◽  
pp. 4865-4881 ◽  
Author(s):  
Aatef Hobiny ◽  
Ibrahim Abbas
Keyword(s):  
Porous Medium ◽  
Volume Fraction ◽  
Phase Lag ◽  
Dual Phase ◽  
Two Dimensional ◽  
Thermoelastic Wave ◽  
Content Type ◽  
Lag Model ◽  
The Difference ◽  
Laplace Transformations

Purpose The purpose of this study is to use the generalized model for thermoelastic wave under the dual phase lag (DPL) model to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimensional (2D) porous medium. Design/methodology/approach Using Fourier and Laplace transformations with the eigenvalue technique, the exact solutions of all physical quantities are obtained. Findings The derived method is evaluated with numerical results, which are applied to the porous medium in a simplified geometry. Originality/value Finally, the outcomes are graphically represented to show the difference among the models of classical dynamical coupled, the Lord and Shulman and DPL.

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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