Characteristics of Wave Propagation in Functionally Gradient Piezoelectric Material Plates and its Response Analysis. Part 1: Theory.

LIU, Gui-Rong; Tani, Junji

doi:10.1299/kikaia.57.2122

Cited by 35 publications

(8 citation statements)

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“…The state-space method is employed, which has the particular superiority to study laminated plates and shells (Fan, 1996;. We further employ a laminate model (Fan and Zhang, 1992;Liu and Tani, 1991;Tanigawa, 1995;Chen and Ding, 2000) to approximate the FGPM hollow cylinder. It is obvious that the larger the number of layers involved is, the accurate the model will be.…”

Section: Introductionmentioning

confidence: 99%

3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid

Chen

Bian

et al. 2004

International Journal of Solids and Structures

182

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Section: Introductionmentioning

confidence: 99%

3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid

Chen

Bian

et al. 2004

International Journal of Solids and Structures

182

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“…Remarkable works have been done to reveal the properties of Love-type waves in FGPM coating layer settled on a layer or half-space by applying WKB method. Singhal et al (2018a), Ezzin et al (2017) and Liu and Tani (1991, 1992) have carried out some significant work on wave transference in FGPM and FGM. Singhal et al (2018b) and Sahu et al (2017) have successfully applied the WKB method for modelling of wave propagation in smart material structures.…”

Section: Introductionmentioning

confidence: 99%

Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method

Singh

Sahu

Singhal

et al. 2018

Journal of Intelligent Material Systems and Structures

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In mathematical physics, the Wentzel–Kramers–Brillouin approximation or Wentzel–Kramers–Brillouin method is a technique for finding approximate solutions to linear differential equations with spatially varying coefficients. An attempt has been made to approximate the velocity of surface seismic wave in a piezo-composite structure. In particular, this article studies the dispersion behaviour of Love-type seismic waves in functionally graded piezoelectric material layer bonded between initially stressed piezoelectric layer and pre-stressed piezoelectric half-space. In functionally graded piezoelectric material stratum, theoretical derivations are obtained by the Wentzel–Kramers–Brillouin method where variations in material gradient are taken exponentially. In the upper layer and lower half-space, the displacement components are obtained by employing separation of variables method. Dispersion equations are obtained for both electrically open and short cases. Numerical example and graphical manifestation have been provided to illustrate the effect of influencing parameters on the phase velocity of considered surface wave. Obtained relation has been deduced to some existing results, as particular case of this study. Variation in cut-off frequency and group velocity against the wave number are shown graphically. This study provides a theoretical basis and practical utilization for the development and construction of surface acoustics wave devices.

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“…In 1991, Liu and Tani [6,7] proposed a hybrid numerical method for the characteristics and response of wave propagation in FGPM plates, where the FGPM layer is divided into a number of inhomogeneous thin layers and the Fourier transformation method was employed. Recently, Lefebvre et al [8] used a Legendre polynomial approach for acoustic-wave propagation in continuous FGPM plates.…”

Section: Introductionmentioning

confidence: 99%

“…On balance, three kinds of approach have been used for solving the wave motion in FGPM. In the first kind of approach, the FGPM is divided into a large number of inhomogeneous thin layers [6,7,9,10], and then finite-element-type techniques were employed. The second is finite-element [11] or spectral-element [5,12] methods.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in functionally graded piezoelectric spherically curved plates

Yu¹,

Wu²,

Hongli³

et al. 2007

Physica Status Solidi (b)

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Based on linear three-dimensional piezoelasticity, a Legendre orthogonal polynomial series expansion approach is used for determining the characteristics of guided waves in continuous functionally graded piezoelectric materials (FGPM) as spherically curved plates. The displacement components and electric potential, expanded in a series of Legendre polynomials, are introduced into the governing equations along with position-dependent material constants so that the solution of the wave equation is reduced to an eigenvalue problem. Our results from a homogeneous anisotropic spherically curved plate are compared with those published earlier to confirm the accuracy and range of applicability of this polynomial approach. Guided-wave dispersion curves for FGPM and the corresponding FGM spherically curved plates are calculated and the effect of piezoelectricity is shown. The mechanical displacement distribution and electric potential distribution are also illustrated. Finally, the influence of the ratio of radius to thickness on the dispersion curves is discussed.

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Characteristics of Wave Propagation in Functionally Gradient Piezoelectric Material Plates and its Response Analysis. Part 1: Theory.

Cited by 35 publications

References 0 publications

3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid

3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid

Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method

Wave propagation in functionally graded piezoelectric spherically curved plates

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