Effect of Thermal and Micro-inertia on the Refraction of Elastic Waves in Micropolar Thermoelastic Materials with Voids

Lianngenga, R.; Singh, S. S.

doi:10.1080/15502287.2018.1500656

Cited by 3 publications

(2 citation statements)

References 22 publications

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“…The propagation of P-wave is affected due to presence of thermal coupling in thermoelastic materials with two relaxation times, but SV-wave remains unaffected. Some useful results of wave propagation are Achenbach, 24 Sinha and Elsibai, 25 Othman and Song, 26,27 Kumar et al, 28 Othman and Atwa, 29 Sharma and Bhargava, 30 Pal et al, 31 Guo and Wei, 32 Palacidi et al, 33 Singh, 34 Sahu et al, 35 Chatterjee et al, 36 Abbas et al, 37 Zorammuana and Singh, 38 Abdalla et al, 39 Othman et al, 40 Singh and Lianngenga, 41 Barak and Kaliraman, 42 Khurana and Tomar, 43 Lianngenga and Singh, 44 Kumar et al, 45 Singh and Lalawmpuia, 46 and Pal and Kanoria. 21 At the plane interface of two different thermoelastic materials containing voids, Singh 22,23 investigated the reflection/transmission phenomena of waves due to incident longitudinal and transverse waves.…”

Section: Introductionmentioning

confidence: 99%

Effect of initial stresses on the elastic waves in transversely isotropic thermoelastic materials

Tochhawng

Singh

2020

Engineering Reports

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In the present article, we have studied the reflection/transmission of elastic waves in initially stressed transversely isotropic thermoelastic materials. Three quasi type coupled longitudinal (QL), transverse (QT), and thermal waves are found to propagate in initially stressed transversely isotropic thermoelastic materials. For incident QL and QT-waves at a plane interface, boundary conditions were implemented for obtaining the coefficients of reflection/ transmission, the distribution of energy in the reflected and transmitted waves are also discussed. We have observed that the results vary with direction of incidence as well as the parameters due to elasticity, thermal, and initial stresses.Numerical computations have been performed and analyzed the impact of initial stresses on the results. It has been observed critical angles at 0 = 30 • and 58 • for the reflected and transmitted QL-waves for incident QT-wave. K E Y W O R D Senergy ratios, initial stresses, longitudinal and transverse waves, reflection/transmission coefficients, thermoelastic materialsThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Introductionmentioning

confidence: 99%

Effect of initial stresses on the elastic waves in transversely isotropic thermoelastic materials

Tochhawng

Singh

2020

Engineering Reports

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“…29 Similar issues of wave propagation and reflection in the context of fibre-reinforced or thermo-elasticity with distinct parameters were studied by Deswal, Sheokand, and Kalkal, 30 Roy, Acharya, and Acharya, 31 Singh and Singh, 32 Singh and Lianngenga, 33 and Lianngenga and Singh. 34 In view of the above literatures, the present investigation is concerned with propagation and reflection of magnetothermoelastic plane waves at the free surfaces of a rotating micropolar fibre-reinforced medium under G-L theory. The governing equations are solved by using natural boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Reflection and Propagation of Magneto-Thermoelastic Plane Waves at Free Surfaces of a Rotating Micropolar Fibre-Reinforced Medium under G-L Theory

Anya¹,

Khan²

2020

The International Journal of Acoustics and Vibration

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This article is concerned with the investigation of reflection of waves at the free surface of a rotating micropolar fibre-reinforced thermoelastic medium, in the presence of a magnetic field using Green and Lindsay theory. It is observed that when a P-wave is incident on the free surface of rotating micropolar fibre-reinforced thermoelastic medium in the presence of a magnetic field, four waves are reflected; quasi-longitudinal displacement (qLD), quasi-transverse displacement (qTD), quasi-transverse micro-rotational (qTM) and quasi-thermal waves. The normal modes method, also called the harmonic solution approach, is used simultaneously with Snell's laws and Maxwell's equation, governing electromagnetic fields, in the determination of a solution for the micropolar fibre-reinforced modelled problem. Amplitude ratios or reflection coefficients, which correspond to reflected waves in vertical and horizontal components, are presented analytically. Moreover, the reflection coefficients are presented using numerically simulated results in graphical form for a particular chosen material. We observe that the micropolar fibre-reinforced, rotation, and magneto-thermoelastic field parameters, have varied degree of effects on the propagation and reflection of waves in the medium. The study should be helpful in understanding the behaviour of propagation and reflection of rotating micropolar fibre-reinforced magneto-thermoelastic machination fields and on future works about behaviour of seismic waves.

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Symmetric and anti-symmetric vibrations in micropolar thermoelastic materials plate with voids

Lianngenga¹,

Singh

2019

Applied Mathematical Modelling

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Effect of Thermal and Micro-inertia on the Refraction of Elastic Waves in Micropolar Thermoelastic Materials with Voids

Cited by 3 publications

References 22 publications

Effect of initial stresses on the elastic waves in transversely isotropic thermoelastic materials

Effect of initial stresses on the elastic waves in transversely isotropic thermoelastic materials

Reflection and Propagation of Magneto-Thermoelastic Plane Waves at Free Surfaces of a Rotating Micropolar Fibre-Reinforced Medium under G-L Theory

Symmetric and anti-symmetric vibrations in micropolar thermoelastic materials plate with voids

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