Article

# Love wave propagation in functionally graded piezoelectric material layer.

Piezoelectric Device Laboratory, Department of Mechanics and Engineering Science, School of Engineering, Mechanics and Materials Science Research Center, Ningbo University, Ningbo, Zhejiang 315211, China. <>

Ultrasonics (Impact Factor: 2.03). 04/2007; 46(1):13-22. DOI: 10.1016/j.ultras.2006.09.004 Source: PubMed

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**ABSTRACT:**We review theoretical results on anti-plane motions of polarized ceramics based on the linear theory of piezoelectricity. Solutions to dynamic problems of the propagation of bulk acoustic waves (BAW) and surface acoustic waves (SAW), vibrations of finite bodies, and applica-tions to various piezoelectric devices including piezoelectric waveguides, resonators, mass sensors, fluid sensors, actuators, nondestructive evaluation, power harvesters (generators), transformers, and power transmission through an elastic wall by acoustic waves are discussed. Complications due to material inhomogeneity, initial stress, electromagnetic coupling, electric field gradient and semiconduction are also discussed. The paper cites 82 references.Acta Mechanica Solida Sinica 01/2009; 21. · 1.33 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**Limitations of the manufacturing technology result in the existence of initial stresses in functionally graded material (FGM) structures. In the context of the theory of “Mechanics of Incremental Deformations,” the guided wave characteristics in FGM hollow cylinders under initial stresses in the radial and axial directions are investigated. The Legendre polynomial series method is used to solve the coupled wave equations with variable coefficients. The convergence of the method is discussed through numerical examples. It is found that the influences of initial stresses on the longitudinal waves and on the torsional waves are quite distinct, and that the influences of initial stresses in the axial direction are very different from those in the radial direction, both on the dispersion curves and on the displacement and stress distributions.Acta Mechanica 01/2013; 224(4). · 1.25 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The effect of functional graded piezoelectric materials on the propagation of thickness-twist waves is investigated through equations of the linear theory of piezoelectricity. The elastic and piezoelectric coefficients, dielectric permittivity, and mass density are assumed to change in a linear form but with different graded parameters along the wave propagation direction. We employ the power-series technique to solve the governing differential equations with variable coefficients attributed to the different graded parameters and prove the correction and convergence of this method. As a special case, the functional graded middle layer resulting from piezoelectric damage and material bonding is investigated. Piezoelectric damaged material can facilitate energy trapping, which is impossible in perfect materials. The increase in the damaged length and the reduction in the piezoelectric coefficient decrease the resonance frequency but increase the number of modes. Higher modes of thickness-twist waves appear periodically along the damaged length. Moreover, the displacement of the center of the damaged portion is neither symmetric nor anti-symmetric, unlike the non-graded plate. The conclusions are theoretically and practically significant for wave devices.Smart Materials and Structures 08/2013; 22(9):095021. · 2.02 Impact Factor

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