Reflection of piezothermoelastic waves from the charge and stress free boundary of a transversely isotropic half space

Sharma, J. N.; Walia, Vishal; Gupta, Shubham

doi:10.1016/j.ijengsci.2007.10.003

Cited by 39 publications

(9 citation statements)

References 15 publications

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“…Using equation (26) in equations (20)- (24), a system of five homogeneous equations is obtained in terms of ω and k in five unknowns u 1 , u 3 , w 2 , φ, T , which for non-trivial solution , using Cramer's rule yield…”

Section: Plane Wave Propagationmentioning

confidence: 99%

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Reflection of Plane Waves at Micropolar Piezothermoelastic Half-space

Kumar¹,

Nidhi²,

Lata³

et al. 2018

CMST

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A problem of reflection at a free surface of micropolar orthotropic piezothermoelastic medium is discussed in the present paper. It is found that there exist five type plane waves in micropolar orthotropic piezothermoelastic medium, namely quasi longitudinal displacement wave (quasi LD wave), quasi thermal wave (quasi T wave), quasi CD-I, quasi CD-II wave and electric potential wave (PE wave). The amplitude ratios corresponding to reflected waves are obtained numerically. The effect of angle of incidence and thermopiezoelectric interactions on the reflected waves are studied for a specific model. Some particular cases of interest are also discussed.

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Section: Plane Wave Propagationmentioning

confidence: 99%

“…Pang et al [25] discussed the reflection and refraction of plane waves at the interface between two transversely isotropic piezoelectric and piezomagnetic media. The problems of reflection in piezoelectric media has been studied by such notable researchers as Sharma et al [26], Kuang and Yuan [27], Abdalla et al [28], Alshaikh [29][30].…”

Section: Introductionmentioning

confidence: 99%

Reflection of Plane Waves at Micropolar Piezothermoelastic Half-space

Kumar¹,

Nidhi²,

Lata³

et al. 2018

CMST

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“…The basic governing eld equations of generalized hexagonal piezothermoelastic inhomogeneous anisotropic solid for two-dimensional motion in x-z plane as in [6] are strain-displacement relation…”

Section: Basic Equationsmentioning

confidence: 99%

“…Chandrasekharaiah [5] has generalized Mindlin's theory of thermopiezoelectricity to account for the nite speed of propagation of thermal disturbances. Sharma et al [6] investigated the propagation of Rayleigh waves in generalized piezothermoelastic half space. Abd-alla et al [7] studied the mathematical model of re ection and re ection of longitudinal waves in thermopiezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

Effect of gravity field on piezothermoelastic medium with three theories

Othman

Ahmed

2016

Journal of Thermal Stresses

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The present paper is aimed at studying the e ect of gravity on piezothermoelastic medium. An exact solution to the problem is obtained using the normal mode analysis. Numerical results for the eld quantities are given in the physical domain and illustrated graphically. Comparisons are also made with the results predicted by di erent theories (CT, L-S, and G-L) in the absence and presence of gravity. ARTICLE HISTORY

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“…On the other hand, another key study is [31] where Kuang and Yuan, applying the Lord and Shulman model, investigated and simulated with numerical examples two-dimensional wave reflections at the free interface of a semi-infinite pyroelectric medium. In the framework of non classical thermoelasticity theory, further contributions were performed by Sharma et al [56,57] who discussed the reflection of quasi-P (qP ), quasi-S (qS ) and thermal waves from a transversely isotropic, pyroelectric half-space with a) stress-free, thermally insulated and isothermal open circuit boundaries [56] and b) charge-and stress-free boundaries [57]. Waves reflection from pre-stressed boundaries of transversely isotropic, pyroelectric halfspace were analyzed by Singh [61], who also investigated the plane wave velocities with both Lord-Shulman and Green-Lindsay models [60].…”

Section: Introductionmentioning

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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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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Reflection of piezothermoelastic waves from the charge and stress free boundary of a transversely isotropic half space

Cited by 39 publications

References 15 publications

Reflection of Plane Waves at Micropolar Piezothermoelastic Half-space

Reflection of Plane Waves at Micropolar Piezothermoelastic Half-space

Effect of gravity field on piezothermoelastic medium with three theories

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

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