Effect of rotation and thermal relaxation on Rayleigh waves in piezothermoelastic half space

In this paper, the well-established two-dimensional mathematical model for linear pyroelectric materials is employed to investigate the reflection of waves at the boundary between a vacuum and an elastic, transversely isotropic, pyroelectric material. A comparative study between the solutions of (a) classical thermoelasticity, (b) Cattaneo–Lord–Shulman theory and (c) Green–Lindsay theory equations, characterised by none, one and two relaxation times, respectively, is presented. Suitable boundary conditions are considered in order to determine the reflection coefficients when incident elasto–electro–thermal waves impinge the free interface. It is established that, in the quasi-electrostatic approximation, three different classes of waves: (1) two principally elastic waves, namely a quasi-longitudinal Primary (qP) wave and a quasi-transverse Secondary (qS) wave; and (2) a mainly thermal (qT) wave. The observed electrical effects are, on the other hand, a direct consequence of mechanical and thermal phenomena due to pyroelectric coupling. The computed reflection coefficients of plane qP waves are found to depend upon the angle of incidence, the elastic, electric and thermal parameters of the medium, as well as the thermal relaxation times. The special cases of normal and grazing incidence are also derived and discussed. Finally, the reflection coefficients are computed for cadmium selenide observing the influence of (1) the anisotropy of the material, (2) the electrical potential and (3) temperature variations and (4) the thermal relaxation times on the reflection coefficients

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“…(1) into Eqs. (5), the thermo-kinetic model for a linear pyroelectric medium can be obtained [59,24,58]:…”

Section: Model Of Pyroelectric Mediamentioning

confidence: 99%

Wave reflection at a free interface in an anisotropic pyroelectric medium with nonclassical thermoelasticity

Abd-alla

Giorgio

Galantucci³

et al. 2014

Continuum Mech. Thermodyn.

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“…Ahmed [24] studied the effect of initial stress on the propagation of Rayleigh waves in a granular medium under incremental thermal stresses. Sharma et al [25] presented an analysis of Rayleigh surface waves in a homogeneous, transversely isotropic, generalized piezothermoelastic half-space rotating with uniform angular velocity about normal to its boundary and subjected to stress free, electrically shorted/charge free and thermally insulated/isothermal boundary conditions. Abouelregal [26] studied the Rayleigh waves in a thermoelastic homogeneous isotropic solid half space in the context of dual-phase-lag model, where the medium is subjected to stress free, thermally insulated, boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity

Singh

Verma

2019

International Journal of Applied Mechanics and Engineering

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The governing equations for a homogeneous and isotropic thermoelastic medium are formulated in the context of coupled thermoelasticity, Lord and Shulman theory of generalized thermoelasticity with one relaxation time, Green and Lindsay theory of generalized thermoelasticity with two relaxation times, Green and Nagdhi theory of thermoelasticity without energy dissipation and Chandrasekharaiah and Tzou theory of thermoelasticity. These governing equations are solved to obtain general surface wave solutions. The particular solutions in a halfspace are obtained with the help of appropriate radiation conditions. The two types of boundaries at athe surface of a half-space are considered namely, the stress free thermally insulated boundary and stress free isothermal boundary. The particular solutions obtained in a half-space satisfy the relevant boundary conditions at the free surface of the half-space and a frequency equation for the Rayleigh wave speed is obtained for both thermally insulated and isothermal cases. The non-dimensional Rayleigh wave speed is computed for aluminium metal to observe the effects of frequency, thermal relaxation time and different theories of thermoelasticity.

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“…Solid-state microgyroscopes combine the merits of both solid-state gyroscopes and micro-MEMS gyroscopes. At present, there are four major solid-state microgyroscopes: micro-HRG (Hemispherical Resonator Gyro), micro-optical gyroscopes [7,8], microsurface acoustic wave gyroscopes [6,9], and piezoelectric solid-state microgyroscopes researched in the paper.…”

Section: Introductionmentioning

confidence: 99%

Model Design of Piezoelectric Micromachined Modal Gyroscope

Wang

et al. 2011

Journal of Sensors

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This paper reports a novel kind of solid-state microgyroscope, which is called piezoelectric micromachined modal gyroscope (PMMG). PMMG has large stiffness and robust resistance to shake and strike because there is no evident mass-spring component in its structure. This work focused on quantitative optimization of the gyroscope, which is still blank for such gyroscope. The modal analysis by the finite element method (FEM) was firstly conducted. A set of quantitative indicators were developed to optimize the operation mode. By FEM, the harmonic analysis was conducted to find the way to efficiently actuate the operational mode needed. The optimal configuration of driving electrodes was obtained. At last, the Coriolis analysis was conducted to show the relation between angular velocity and differential output voltage by the Coriolis force under working condition. The results obtained in this paper provide theoretical basis for realizing this novel kind of micromachined gyroscope.

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Effect of rotation and thermal relaxation on Rayleigh waves in piezothermoelastic half space

Cited by 43 publications

References 36 publications

Wave reflection at a free interface in an anisotropic pyroelectric medium with nonclassical thermoelasticity

Wave reflection at a free interface in an anisotropic pyroelectric medium with nonclassical thermoelasticity

On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity

Model Design of Piezoelectric Micromachined Modal Gyroscope

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