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

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.

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Disturbance due to internal heat source in thermoelastic solid using dual phase lag model

STRUCTURAL ENGINEERING AND MECHANICS ◽

10.12989/sem.2015.56.3.341 ◽

2015 ◽

Vol 56 (3) ◽

pp. 341-354 ◽

Cited By ~ 1

Author(s):

Praveen Ailawalia ◽

Amit Singla

Keyword(s):

Heat Source ◽

Internal Heat ◽

Internal Heat Source ◽

Phase Lag ◽

Dual Phase ◽

Lag Model ◽

Thermoelastic Solid

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

Journal of Mechanics ◽

10.1017/jmech.2012.101 ◽

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.

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Effect of rotation on a micropolar magneto-thermoelastic solid in dual-phase-lag model under the gravitational field

Microsystem Technologies ◽

10.1007/s00542-017-3295-y ◽

2017 ◽

Vol 23 (10) ◽

pp. 4979-4987 ◽

Cited By ~ 13

Author(s):

Mohamed I. A. Othman ◽

Elsayed M. Abd-Elaziz

Keyword(s):

Gravitational Field ◽

Phase Lag ◽

Dual Phase ◽

Lag Model ◽

Thermoelastic Solid

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Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model

Mathematics ◽

10.3390/math9212782 ◽

2021 ◽

Vol 9 (21) ◽

pp. 2782

Author(s):

Aatef D. Hobiny ◽

Ibrahim A. Abbas

Keyword(s):

Finite Element ◽

Chemical Potential ◽

Phase Lag ◽

Dual Phase ◽

Element Analysis ◽

Spherical Cavities ◽

Lag Model ◽

Phase Lags ◽

Unbounded Elastic Medium ◽

Element Technique

In this work, the thermo-diffusions interaction in an unbounded material with spherical cavities in the context dual phase lag model is investigated. The finite element technique has been used to solve the problem. The bounding surface of the inner hole is loaded thermally by external heat flux and is traction-free. The delay times caused in the microstructural interactions, the requirement for thermal physics to take account of hyperbolic effects within the medium, and the phase lags of chemical potential and diffusing mass flux vector are interpreted. A comparison is made in the case of the presence and the absence of mass diffusions between coupled, Lord-Shulman and dual phase lag theories. The numerical results for the displacement, concentration, temperature, chemical potential and stress are presented numerically and graphically.

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The elastic wave motions for a photothermal medium of a dual-phase-lag model with an internal heat source and gravitational field

Canadian Journal of Physics ◽

10.1139/cjp-2015-0782 ◽

2016 ◽

Vol 94 (4) ◽

pp. 400-409 ◽

Cited By ~ 52

Author(s):

Kh. Lotfy

Keyword(s):

Heat Source ◽

Thermal Loading ◽

Harmonic Wave ◽

Internal Heat ◽

Internal Heat Source ◽

Transfer Model ◽

Phase Lag ◽

Dual Phase ◽

Horizontal Distance ◽

Lag Model

In this work, the dual-phase-lag (DPL) heat transfer model is introduced to study the problem of an isotropic generalized thermoelastic medium with an internal heat source that is moving with a constant speed. Thermal loading at the free surface of a semi-infinite semiconconducting medium coupled plasma waves with the effect of mechanical force during a photothermal process to study the effect of a gravity field. Harmonic wave analysis is used to obtain exact expressions for the considered variables, also the carrier density coefficients were obtained analytically. The variations of the considered variables through the horizontal distance are illustrated graphically under the effects of several parameters based on the DPL model. The results are discussed and depicted graphically.

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