Love waves in a layered functionally graded piezoelectric structure under initial stress

Majhi, S.; Pal, P. C.; Kumar, Shankar

doi:10.1080/17455030.2016.1171930

Cited by 14 publications

(5 citation statements)

References 17 publications

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“…The two piezoelectric material systems, PZT-5H ceramic and BaTiO 3 ceramic, are taken into consideration in this discussion. The following Table [1] lists the all materials parameters used in this paper and was compiled by Majhi et al [10]. Inhomogeneities, the corrugation wavelength, and corrugation amplitude effects on RCs and TCs versus the incidence angle e are the focus of this study.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Let w 1 denote the mechanical displacement and φ 1 denote the electric potential function in the region −h < x < 0. Placing condition (10) and Equations ( 6) and (7) in the place of Equations ( 4) and ( 5), for propagation of transverse waves in the piezoelectric layer, the equation of motion has the following solution:…”

Section: Problem Formulationmentioning

confidence: 99%

“…The effects of viscous dissipation of Love waves in layered piezoelectric structures on the dispersive were studied by Du et al [6]. The importance of wave propagation in functionally graded piezoelectric materials has been studied by Qian et al [7], Manna et al [8,9], and Majhi et al [10].…”

Section: Introductionmentioning

confidence: 99%

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Reflection and Transmission of Transverse waves at a corrugated interface of two functionally graded piezoelectric half-spaces

Hemalatha,

Kumar

2023

Preprint

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At the corrugated interface of two different functionally graded piezoelectric materials, reflection and transmission coefficients resulting from incident at the corrugated interface of plane transverse waves are considered. Both piezoelectric materials inhomogeneity is regarded as exponential. Analytically, the solutions are derived for half-spaces. The reflection coefficient and transmission coefficient for the first-order estimate of corrugation are calculated using Rayleigh’s approximation approach. Furthermore, for a specific kind of interface, the reflected coefficient and transmitted coefficient of regularly and irregularly reflected and transmitted waves are determined in closed form. For numerical interpretation of the results, a sets of piezoelectric materials such as PZT-5H ceramic and BaTiO 3 ceramic are considered. The reflection coefficient and transmission coefficient expressions show that they depend heavily on material coefficients with inhomogeneity characteristics, as well as the known wave propagation components, such as the corrugation’s wavelength, and amplitude of corrugation. Graphs representing the results were produced using Mathematica 7 to present the findings. The transmission coefficients and reflection coefficients are graphed versus the incidence angle.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

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Reflection and Transmission of Transverse waves at a corrugated interface of two functionally graded piezoelectric half-spaces

Hemalatha,

Kumar

2023

Preprint

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“…Khurana [2001] considered the effect of initial stress on the propagation of Love wave. Further significant steps were taken in [ Das and Dey 1968;1970, Dey 1971; Dey and Addy 1978; Chattopadhyay and De 1981; Chattopadhyay and Kar 1978;Majhi et al 2016;2017] to cite but a few works.…”

Section: Introductionmentioning

confidence: 99%

Generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space

Kumar

Mandal²

2018

Math. Mech. Compl. Sys.

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The paper investigates the generation of SH-type waves due to a sudden application of a stress discontinuity which moves after creation at the anisotropic layer of finite thickness overlying an initially stressed isotropic half-space. The displacements are obtained in exact form by the method due to Cagniard modified by de Hoop. Two cases of shearing stress discontinuities are considered. The numerical results are obtained for a particular model and discussed by plotting graphs for displacement component with the elapsed time of the disturbance for different values of initial stress and also for different values of initial time at which pulses arrive.

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“…Khurana [2001] considered the effect of initial stress on the propagation of Love wave. Further significant steps were taken in [Das and Dey 1968;, Dey 1971Dey and Addy 1978;Chattopadhyay and De 1981;Chattopadhyay and Kar 1978;Majhi et al 2016; 2017] to cite but a few works.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2018

Math. Mech. Compl. Sys.

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Love waves in a layered functionally graded piezoelectric structure under initial stress

Cited by 14 publications

References 17 publications

Reflection and Transmission of Transverse waves at a corrugated interface of two functionally graded piezoelectric half-spaces

Reflection and Transmission of Transverse waves at a corrugated interface of two functionally graded piezoelectric half-spaces

Generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space

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