Reflection and refraction of a plane thermoelastic wave at a solid–solid interface under perfect boundary condition, in presence of normal initial stress

Chakraborty, Nilratan; Singh, Manik Chandra

doi:10.1016/j.apm.2011.04.026

Cited by 39 publications

(6 citation statements)

References 23 publications

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“…Kumar and Sarthi (2006) discussed the problem of reflection and refraction of thermoelastic plane waves at an interface between two thermoelastic media without energy dissipation. Chakraborty and Singh (2011) using the basic governing equations for isotropic and homogeneous generalized thermoelastic media under initial stress, the reflection and refraction of thermoelastic plane waves at the interface of two dissimilar thermoelastic solid half-spaces has been investigated. Kumar and Chawla (2013) investigated the problem of reflection and refraction phenomenon due to longitudinal and transverse waves incident obliquely at a plane interface between uniform elastic solid half-space and thermoelastic solid with three-phaselag model half-space.…”

Section: Introductionmentioning

confidence: 99%

Reflection and Refraction of P Wave at the Interface Between Thermoelastic and Porous Thermoelastic Medium

et al. 2016

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Reflection and refraction phenomenon due to an obliquely incident longitudinal wave at a plane interface between an isotropic, homogeneous, thermoelastic medium and a porous thermoelastic medium is studied. Firstly, the generalized thermoelastic theory (G-TE) of wave propagation in a saturated porous thermoelastic medium is developed in the context of the coupled thermoelastic theories of Biot, the theory of generalized thermoelasticity of Lord-Shulman (with one relaxation time) and that of Green-Lindsay (with two relaxation times). Then, the expressions of amplitude ratios of various reflected and refracted waves to that of incident P wave are derived. Numerical results are obtained and used to analyze the difference of reflection amplitude of four kinds of reflection waves, and refraction amplitude of three kinds of refraction waves among the G-TE theory, the Lord-Shulman theory and the Green-Lindsay theory in the case of porous thermoelasticity. The effect of relaxation time τ 1 and thermal expansion coefficient a s on the reflection and refraction of the incident P-wave is also discussed.

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Section: Introductionmentioning

confidence: 99%

Reflection and Refraction of P Wave at the Interface Between Thermoelastic and Porous Thermoelastic Medium

et al. 2016

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“…Sharma and Chauhan [16] discussed the influence of heat sources and body forces with the lost of heat. Chakraborty and Singh [17] discussed refraction and reflection of plane wave at solid-solid interface under normal initial stress.…”

Section: Introductionmentioning

confidence: 99%

Influence of initial stress and gravity on refraction and reflection of SV wave at interface between two viscoelastic liquid under three thermoelastic theories

Khan

Afzal

2018

J Braz. Soc. Mech. Sci. Eng.

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This approach is to examine the impact of magnetic field, viscosity, gravity and initial stress on SV wave while traveling through the interface of two visco-thermoelastic liquid layers. The basic equations in context of three theories have been discussed to drive results for refracted thermal and P waves and reflected thermal, SV and P waves. After using the boundary conditions the amplitude ratios have been computed in matrix form.

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“…A comprehensive comparison was made of the various models of thermoelasticity mentioned above based on the numerical results. Recently, based on the G-N theory, Chakraborty and Singh [27] further studied reflection and refraction of a thermoelastic wave at the interface of two thermoelastic solid half-spaces in the presence of normal initial stress. Other related works are those reported by Othman and Abbas [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Propagation of thermoelastic waves across an interface with consideration of couple stress and second sound

Wei

Wang

2017

Mathematics and Mechanics of Solids

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The reflection and transmission of thermoelastic waves across an interface between two different couple stress solids are studied based on the thermoelastic Green–Naghdi theory with consideration of second sound. First, some thermodynamic equations of a couple stress elastic solid are formulated and the function of free energy density is postulated. Second, equations of thermal motion and heat conduction of the couple stress elasticity are derived and constitutive relations with thermoelastic coupled effects are obtained. From these equations, four kinds of dispersive waves, namely, thermal-mechanically coupled MT1 wave and MT2 wave, uncoupled SV wave, and an evanescent wave that becomes the surface waves at interface, are derived. Then, the interfacial conditions of couple stress elastic solids with consideration of force stress, couple stress, and thermal effects are used to determine the amplitude ratios of the reflection and transmission waves with respect to the incident wave. The numerical results are validated by consideration of energy conservation.

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Reflection and refraction of a plane thermoelastic wave at a solid–solid interface under perfect boundary condition, in presence of normal initial stress

Cited by 39 publications

References 23 publications

Reflection and Refraction of P Wave at the Interface Between Thermoelastic and Porous Thermoelastic Medium

Reflection and Refraction of P Wave at the Interface Between Thermoelastic and Porous Thermoelastic Medium

Influence of initial stress and gravity on refraction and reflection of SV wave at interface between two viscoelastic liquid under three thermoelastic theories

Propagation of thermoelastic waves across an interface with consideration of couple stress and second sound

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