Effect of micro-inertia in the propagation of waves in micropolar thermoelastic materials with voids

Singh, S. S.; Lianngenga, R.

doi:10.1016/j.apm.2017.05.008

Cited by 19 publications

(7 citation statements)

References 30 publications

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“…28 An eigenvalue approach was utilized by Sinha and Bera to solve the fundamental equations of the problems of generalized thermo-elasticity with rotation. 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.…”

Section: Introductionmentioning

confidence: 72%

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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Section: Introductionmentioning

confidence: 72%

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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“…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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“…The following literature works of wave propagation in different materials may also be mentioned, i.e. Achenbach (1976), Khurana and Tomar (2007), Das et al (2008), Aouadi (2009), Sharma and Kumar (2009), Passarella and Zampoli (2010), Singh (2010, 2011, 2013), Singh and Lianngenga (2016, 2017), Singh et al (2006), Singh and Kumar (1998), Mitra and Bhattacharyya (2017), Othman et al (2017), Marin and Nicaise (2016), Marin and Craciun (2017), Marin et al (2017), Khan et al (2018), and Codarcea-Munteanu and Marin (2019).…”

Section: Introductionmentioning

confidence: 99%

Reflection of coupled dilatational and shear waves in the generalized micropolar thermoelastic materials

Lianngenga

Singh

2020

Journal of Vibration and Control

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The problem of wave propagation in the generalized theory of micropolar thermoelasticity under the Green–Lindsay model has been investigated. We have investigated the reflected dilatational and shear waves due to incident waves at a plane-free surface of generalized micropolar thermoelastic materials. The amplitude and energy ratios corresponding to the reflected coupled dilatational and coupled shear waves are derived using boundary conditions at the free surface. These ratios are also computed numerically for a particular model. Note that there are critical angles for the incident shear wave.

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Effect of micro-inertia in the propagation of waves in micropolar thermoelastic materials with voids

Cited by 19 publications

References 30 publications

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

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

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

Reflection of coupled dilatational and shear waves in the generalized micropolar thermoelastic materials

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