Effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces

Guo, Xiao; Wei, Peijun

doi:10.1016/j.ijsolstr.2014.07.008

Cited by 71 publications

(15 citation statements)

References 18 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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“… The result obtained may contribute in designing acoustic surface wave devices. The effects of initial stress on reflection and transmission waves at the interface between two piezoelectric half‐spaces were studied by Guo and Wei . Du et al.…”

Section: Introductionmentioning

confidence: 99%

“…Keeping this in mind, it is assumed that 1 .r, t/ is the force density distribution in the upper piezoelectric layer due to a source existing at the common interface of layer and substrate. Therefore, the coupled electromechanical field equations with the help of Eqs (5) and (6) are obtained as C 44 r 2 w 1 C e 15 r 2 1 1 @ 2 w 1 @t 2 D 4 1 .r, t/ , e 15 r 2 w 1 " 11 r 2 1 D 0, (7) where r 2 D @ 2 @x 2 C @ 2 @y 2 Á . Now, using the substitutions w 1 .x, y, t/ D w 1 .x, y/ e i!t and 1 .r, t/ D 1 .r/ e i!t , and hence taking the Fourier transform of Equation (7), the following ordinary differential equations are obtained:…”

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confidence: 99%

Green's function approach to study the propagation of SH-wave in piezoelectric layer influenced by a point source

Singh

Das

Mistri

et al. 2017

Math. Meth. Appl. Sci.

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Green's function technique serves as a powerful tool to find the particle displacements due to SH‐wave propagation in layer of a shape different from the space between two parallel planes. Therefore, the present paper undertook to study the propagation of SH‐wave in a transversely isotropic piezoelectric layer under the influence of a point source and overlying a heterogeneous substrate using Green's function technique. The coupled electromechanical field equations are solved with the aid of Green's function technique. Expression for displacements in both layer and substrate, scalar potential and finally the dispersion relation is obtained analytically for the case when wave propagates along the direction of layering. Numerical computations are carried out and demonstrated with the aid of graphs for six different piezoelectric materials namely PZT‐5H ceramics, Barium titanate (BaTiO3) ceramics, Silicon dioxide (SiO2) glass, Borosilicate glass, Cobalt Iron Oxide (CoFe2O4), and Aluminum Nitride (AlN). The effects of heterogeneity, piezoelectric and dielectric constants on the dispersion curve are highlighted. Moreover, comparative study is carried out taking the phase velocity for different piezoelectric materials on one hand and isotropic case on the other. Dispersion relation is reduced to well‐known classical Love wave equation with a view to illuminate the authenticity of problem. Copyright © 2017 John Wiley & Sons, Ltd.

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“… considered the reflection of three‐dimensional plane waves at a traction free boundary of a half‐space composed of triclinic crystalline material under initial stresses. Guo and Wei studied the effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces. Chakraborty and Singh , using the basic governing equations for isotropic and homogeneous generalized thermo elastic media under initial stress, investigated the reflection and refraction of thermo elastic plane waves at the interface of two dissimilar thermo elastic solid half‐spaces.…”

Section: Introductionmentioning

confidence: 99%

Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Yuan

Jiang

2016

Z Angew Math Mech

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This paper addresses the initial stresses and rotation effects on the wave reflection in the pyroelectric half‐plane using inhomogeneous wave approach. The rotation in the governing pyroelectric equation is characterized by considering the Coriolis and centrifugal accelerations, and the initial stresses are included by modifying the elasticity tensor. A scenario is modelled where a quasi‐longtitudinal wave is incident on free boundary surface, resulting into reflected waves like temperature wave, quasi‐transverse wave, quasi‐longitudianal wave, and surface wave. Attenuation angle, initial stresses, and rotation's impacts on the velocity, attenuation, and energy coefficients of reflected wave are presented.

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Effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces

Cited by 71 publications

References 18 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

Green's function approach to study the propagation of SH-wave in piezoelectric layer influenced by a point source

Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

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