Reflection and refraction of thermo-viscoelastic waves at the interface between two micropolar viscoelastic media without energy dissipation

Reflection and refraction of a plane harmonic wave at the interface between two viscoelastic media are studied under generalized thermo-viscoelastic theory. Using potential function, the governing equations reduce to two fourth-order ifferential equations. Coefficient ratios of reflection and refraction of different waves with the angle of incidence are obtained using continuous boundary conditions. By numerical calculations, the variation of coefficient ratios of reflection and refraction with the angle of incidence are illustrated graphically for aluminium–epoxy and magnesium crystal micropolar viscoelastic materials. Also, the effects of viscous and micropolar elastic are illustrated by numerical results in the theory of thermo-viscoelasticity without energy dissipation. PACS No.: 62.20.Dc

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Effect of Two Temperatures on Reflection Coefficient in Micropolar Thermoelastic with and without Energy Dissipation Media

Advances in Acoustics and Vibration ◽

10.1155/2014/846721 ◽

2014 ◽

Vol 2014 ◽

pp. 1-11 ◽

Cited By ~ 5

Author(s):

Rajneesh Kumar ◽

K. D. Sharma ◽

S. K. Garg

Keyword(s):

Energy Dissipation ◽

Temperature Effects ◽

Plane Waves ◽

Angle Of Incidence ◽

Amplitude Ratios ◽

Reflected Waves ◽

Two Temperatures ◽

Thermally Conducting ◽

Without Energy Dissipation ◽

Two Temperature

The reflection of plane waves at the free surface of thermally conducting micropolar elastic medium with two temperatures is studied. The theory of thermoelasticity with and without energy dissipation is used to investigate the problem. The expressions for amplitudes ratios of reflected waves at different angles of incident wave are obtained. Dissipation of energy and two-temperature effects on these amplitude ratios with angle of incidence are depicted graphically. Some special and particular cases are also deduced.

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Reflection of plane waves from a thermo-microstretch elastic solid under the effect of rotation

Canadian Journal of Physics ◽

10.1139/cjp-2013-0407 ◽

2014 ◽

Vol 92 (6) ◽

pp. 488-496 ◽

Cited By ~ 4

Author(s):

Mohamed I.A. Othman ◽

Ya Qin Song

Keyword(s):

Harmonic Wave ◽

Plane Waves ◽

Elastic Solid ◽

Elastic Half Space ◽

Angle Of Incidence ◽

Governing Equations ◽

Plane Harmonic Wave ◽

Continuous Boundary ◽

Coupled Theory ◽

Micropolar Material

A reflection of a plane harmonic wave at the interface of thermo-microstretch elastic half space is studied. The formulation is applied to generalized thermo-elasticity theories, the Lord–Şhulman and Green–Lindsay theories, as well as the classical dynamical coupled theory. Using potential function, the governing equations reduce to ten differential equations. Coefficient ratios of reflection of different waves with the angle of incidence are obtained using continuous boundary conditions. By numerical calculations, the variation of coefficient ratios of reflection with the angle of incidence is illustrated graphically in magnesium crystal micropolar material under three theories. Also the effect of frequency and rotation on the coefficient ratios of reflection is illustrated graphically in the context of Lord–Shulman theory.

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Reflection coefficients and energy ratios in a micropolar thermoelastic medium without energy dissipation

The ANZIAM Journal ◽

10.1017/s144618110000359x ◽

2007 ◽

Vol 48 (3) ◽

pp. 433-447 ◽

Cited By ~ 6

Author(s):

Baljeet Singh

Keyword(s):

Energy Dissipation ◽

Thermal Effects ◽

Plane Waves ◽

Reflection Coefficients ◽

Angle Of Incidence ◽

Dimensional Model ◽

Governing Equations ◽

Thermoelastic Medium ◽

Energy Ratios ◽

Without Energy Dissipation

AbstractThe linear governing equations of a micropolar thermoelastic medium without energy dissipation are solved to show the existence of four plane waves in a two-dimensional model. The expressions for velocities of these plane waves are obtained. The boundary conditions at the free surface are used to obtain a system of four nonhomogeneous equations. These equations are solved numerically for a particular model to obtain reflection coefficients for the incidence of coupled longitudinal displacement and coupled transverse microrotational waves. These reflection coefficients as well as the energy ratios are computed and are shown graphically with the angle of incidence in the presence and absence of thermal effects.

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