Effect of initial stress on the propagation behavior of SH-waves in multilayered piezoelectric composite structures

Qian, Zhenghua; Jin, Feng; Kishimoto, Kikuo; Wang, Zhi

doi:10.1016/j.sna.2004.02.004

Cited by 72 publications

(29 citation statements)

References 7 publications

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“…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%

“…Son et al [10] and Du et al [11] discuss the effect of initial stress on propagation of an SH wave in piezoelectric layers. Liu et al [12] and Qian et al [13] study the Love wave propagation in a piezoelectric structure in the presence of initial stress and found that the phase velocity depends on the value of stress at the A. M. Gaur (B) · D. S. Rana Department of Instrumentation (I.I.E), Kurukshetra University, Kurukshetra, Haryana, 136119 India E-mail: gauranshu10@gmail.com interface. A three-layer model was presented by Li et al [14] and investigated the effect of an intermediate soft layer on the propagation characteristics of Love waves.…”

Section: Introductionmentioning

confidence: 99%

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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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“…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%

Section: Introductionmentioning

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 general forms of the dynamical equations of motion with homogeneous initial stresses and the equation for electric field can be expressed as follows [17]:…”

Section: Basic Equations and Formulation Of The Problemmentioning

confidence: 99%

Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses

Abd-alla

Al-sheikh

2008

Arch Appl Mech

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This paper is devoted to study a problem of reflection and refraction of quasi-longitudinal waves under initial stresses at an interface of two anisotropic piezoelectric media with different properties. One of the two media is aluminum nitride, which is considered the down piezoelectric medium and the above medium is chosen as PZT-5H ceramics. The two piezoelectric media welded are assumed to be anisotropic of a type of a transversely isotropic crystals (hexagonal crystal structure, class 6 mm). The equations of motion and constitutive relations for the piezoelectric media have been written. Suitable boundary conditions are used to obtain the reflection and refraction coefficients. For an incidence of quasi-longitudinal plane waves, four independent-type amplitude ratios of elastic displacement components for plane waves, called quasilongitudinal (qP) and quasi-shear vertical (qSV) waves, are shown to exist. Also, it is observed that there exist four dependent amplitude ratios of electric potential, which are proportional to the previous four types. Finally, it is found that the coefficients of reflection and refraction are functions of angle of incidence, elastic constants, piezoelectric potential parameters and the initial stresses. Numerical computations and the results obtained are depicted graphically. In the end, a particular case has been reduced from the present study. This investigation is considered important because the initial stresses in such practical problems are inevitable and may result in frequency shift, a change in the velocity of surface waves and controlling the selectivity of a filter compensation of the devices.

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“…Experimental studies (Qian et al, 2004;Praveenkumar et al, 2005;Piazza et al, 2006) related to properties of porous piezoelectric materials and influence of porosity on its properties have been made by different authors. Gupta and Venkatesh (2006) developed a finite element model to study the effect of porosity on the electromechanical response of piezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

Effects of piezoelectricity on bulk waves in monoclinic poro-elastic materials

Gupta¹,

Vashishth²

2016

jtam

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Piezoelectric materials are materials which produce electric field when stress is applied and get strained when electric field is applied. Piezoelectric materials are acting as very important functional components in sonar projectors, fluid monitors, pulse generators and surface acoustic wave devices. Wave propagation in porous piezoelectric material having crystal symmetry 2 is studied analytically. The Christoffel equation is derived. The phase velocities of propagation of all these waves are described in terms of complex wave velocities. The effects of phase direction, porosity, wave frequency and piezoelectric interaction on the phase velocities are studied numerically for a particular model.

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Effect of initial stress on the propagation behavior of SH-waves in multilayered piezoelectric composite structures

Cited by 72 publications

References 7 publications

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

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

Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses

Effects of piezoelectricity on bulk waves in monoclinic poro-elastic materials

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