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Research Papers

Reflection and Transmission Coefficients of Plane Waves in Magnetoelectroelastic Layered Structures

[+] Author and Article Information
J. Y. Chen

School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, P.R.C; School of Mechanical Engineering, Zhengzhou University, Zhengzhou 450001, P.R.C.

H. L. Chen

School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, P.R.C.

E. Pan

Department of Civil Engineering, University of Akron, Akron, OH 44325-3905pan2@uakron.edu

J. Vib. Acoust 130(3), 031002 (Apr 03, 2008) (7 pages) doi:10.1115/1.2827388 History: Received November 27, 2006; Revised October 11, 2007; Published April 03, 2008

Reflection and transmission coefficients of plane waves with oblique incidence to a multilayered system of piezomagnetic and/or piezoelectric materials are investigated in this paper. The general Christoffel equation is derived from the coupled constitutive and balance equations, which is further employed to solve the elastic displacements and electric and magnetic potentials. Based on these solutions, the reflection and transmission coefficients in the corresponding layered structures are subsequently obtained by virtue of the propagator matrix method. Two layered examples are selected to verify and illustrate our solutions. One is the purely elastic layered system composed of aluminum and organic glass materials. The other layered system is composed of the novel magnetoelectroelastic material and the organic glass. Numerical results are presented to demonstrate the variation of the reflection and transmission coefficients with different incident angles, frequencies, and boundary conditions, which could be useful to nondestructive evaluation of this novel material structure based on wave propagations.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

A semi-infinite elastic base (Nth layer) bonded to a layered magnetoelectroelastic plate (Layer 1 to Layer N−1)

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Figure 2

Variation of reflection and transmission coefficients of the elastic wave in Al-glass structure: (a) transverse incident wave and (b) longitudinal incident wave

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Figure 3

Variation of reflection coefficient of longitudinal wave with incident angle and at different frequencies (transverse incident wave, f1<f2<f3)

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Figure 4

Variation of reflection and transmission coefficients with incident angle and frequency for a transverse incident wave in MEE system: (a) reflection coefficient of longitudinal wave, (b) reflection coefficient of transverse wave, (c) transmission coefficient of longitudinal wave, and (d) transmission coefficient of transverse wave

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Figure 5

Variation of reflection and transmission coefficients with incident angle and frequency for a longitudinal incident wave in MEE system: (a) reflection coefficient of longitudinal wave, (b) reflection coefficient of transverse wave, (c) transmission coefficient of longitudinal wave, and (d) transmission coefficient of transverse wave

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Figure 6

Variation of reflection (a) and transmission (b) coefficients with incident angle under both open and short circuit conditions (longitudinal incident wave)

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