Love wave propagation in a piezoelectric layer overlying in an inhomogeneous elastic half-space

Manna, Santanu; Kundu, Santimoy; Gupta, Shishir

doi:10.1177/1077546313513626

Cited by 35 publications

(15 citation statements)

References 28 publications

(26 reference statements)

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“…23 / 1 D . 23 Again, applying the boundary conditions .1/ in Equations (3.9) and (3.16) and Equations (3.13) and (3.23), we obtained…”

Section: Solution For the Lower Half-spacementioning

confidence: 94%

“…At the interface of the layer .M 2 / and the lower half-space .M 3 /, the displacement component is continuous like any other internal surface in the media at z D 0, which behaves as the stress on one side of it is same as that on the other side. Mathematically, boundary conditions at z D 0 are (i) Continuity of stress component, that is, 23. / 2 D .t 23 / 3 (ii) Continuity of the displacement component, that is, v 2 D v 3…”

mentioning

confidence: 99%

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Propagation of SH‐wave in an initially stressed orthotropic medium sandwiched by a homogeneous and an inhomogeneous semi‐infinite media

Kundu

Manna

Gupta

2014

Math Methods in App Sciences

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The paper presents a study of propagation of shear wave (SH‐wave) in an orthotropic elastic medium under initial stress sandwiched by a homogeneous semi‐infinite medium and an inhomogeneous half‐space. The technique of separation of variables has been adopted to get the analytical solutions for the dispersion relation in a closed form. The propagation of SH‐waves is influenced by inhomogeneity parameters and initial stress parameter. Velocities of SH‐waves are calculated numerically for different cases. As a special case when the intermediate layer and half‐space are homogeneous, computed frequency equation coincides with general equation of Love wave. To study the effect of inhomogeneity parameters and initial stress parameter, we have plotted the velocity of SH‐wave in several figures and observed that the velocity of wave decreases with the increases of non‐dimensional wave number. It can be found that the phase velocity decreases with the increase of inhomogeneity parameters. We observed that the velocity of SH‐wave decreases with the increases of initial stress parameter in both homogeneous and inhomogeneous media. GUI has been developed by using MATLAB to generalize the effect of the parameters discussed. Copyright © 2014 John Wiley & Sons, Ltd.

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“…23 / 1 D . 23 Again, applying the boundary conditions .1/ in Equations (3.9) and (3.16) and Equations (3.13) and (3.23), we obtained…”

Section: Solution For the Lower Half-spacementioning

confidence: 94%

mentioning

confidence: 99%

Propagation of SH‐wave in an initially stressed orthotropic medium sandwiched by a homogeneous and an inhomogeneous semi‐infinite media

Kundu

Manna

Gupta

2014

Math Methods in App Sciences

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“…Substituting the boundary conditions (19) into (30), (31), (38) and (39) results in a set of linear algebraic homogeneous equations,…”

Section: Case Ii: Sh Wave Propagation Along the Direction Of The Layementioning

confidence: 99%

“…Figure 1 shows the geometrical layout of the composite under consideration. The constitutive equation of the piezoelectric medium can be expressed as [13,30] …”

Section: Formulation Of Problem and Boundary Constraintsmentioning

confidence: 99%

Dispersion relations for SH waves propagation in a porous piezoelectric (PZT–PVDF) composite structure

Gaur

Rana

2015

Acta Mech

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The propagation of shear horizontal waves in a porous piezoelectric composite structure is investigated analytically in this paper. A two-layer structure comprised of perfectly bonded piezoelectric layers is considered. The solution of mechanical displacement and electrical potential is found by solving the constitutive equation for a porous piezoelectric composite structure. Then the dispersion relation is derived for the wave propagation along the direction normal to layering and in the direction of layering. The results obtained from the investigation show the dependence of the wave number on the thickness of the alternative layer in piezoelectric material. Also the phase velocity has been significantly influenced by the variation of elastic constant and porosity. The results provide a theoretical framework for designing and development of underwater acoustic devices for sensing and nondestructive testing.

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“…Midya (2004) discussed Love waves in micropolar homogeneous elastic media. Manna et al (2013) discussed propagation of Love wave in hetrogeneous elastic half-space and piezoelectric layer. Du et al (2008) studied the effect of initial stress on the propagation of piezoelectric layered structures loaded with viscous liquid.…”

Section: Introductionmentioning

confidence: 99%

Dispersion of Love wave in an isotropic layer sandwiched between orthotropic and prestressed inhomogeneous half-spaces

Kakar

2015

Lat. Am. j. solids struct.

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An in-depth study has been carried out for the dispersion of Love waves in an isotropic elastic layer sandwiched between orthotropic and prestressed inhomogeneous elastic half-spaces. The inhomogeneities in density and rigidity of the lower half-space are space dependent and an arbitrary function of depth. Simple mathematical techniques are used to obtain dispersion relation for Love wave propagation in an isotropic layer. An extensive analysis is carried out through numerical computation to explore the effect of inhomogeneity and initial stress the lower half on the phase velocity of the Love waves. The numerical analysis of dispersion equation manifests that the phase velocity of the Love wave increases with the increase of stress parameter. The results further indicate that the inhomogeneity of the half space affect the wave velocity significantly. These results can be useful to study geophysical prospecting and understanding the cause and estimation of damage due to earthquakes.

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Love wave propagation in a piezoelectric layer overlying in an inhomogeneous elastic half-space

Cited by 35 publications

References 28 publications

Propagation of SH‐wave in an initially stressed orthotropic medium sandwiched by a homogeneous and an inhomogeneous semi‐infinite media

Propagation of SH‐wave in an initially stressed orthotropic medium sandwiched by a homogeneous and an inhomogeneous semi‐infinite media

Dispersion relations for SH waves propagation in a porous piezoelectric (PZT–PVDF) composite structure

Dispersion of Love wave in an isotropic layer sandwiched between orthotropic and prestressed inhomogeneous half-spaces

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