2020
DOI: 10.3390/ma13102320
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The Complex Rayleigh Waves in a Functionally Graded Piezoelectric Half-Space: An Improvement of the Laguerre Polynomial Approach

Abstract: The research on the propagation of surface waves has received considerable attention in order to improve the efficiency and natural life of the surface acoustic wave devices, but the investigation on complex Rayleigh waves in functionally graded piezoelectric material (FGPM) is quite limited. In this paper, an improved Laguerre orthogonal function technique is presented to solve the problem of the complex Rayleigh waves in an FGPM half-space, which can obtain not only the solution of purely real values but als… Show more

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Cited by 17 publications
(10 citation statements)
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References 35 publications
(36 reference statements)
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“…On the other hand, ex situ Fourier transform infrared (FTIR) spectra further verify the hydrogen bond formation during the ammoniation/ de‐ammoniation cycles (Figure 4i,j). The FTIR peaks ≈3300—3500 cm −1 is ascribed to the –OH bands from the OH group in our MnAl‐LDH structure, [ 50 ] which gradually disappear during the first charge process from A to G state, corresponding to the aforementioned amorphous transformation and layered structure collapse accompanied with the dissolution of Mn species in LDH. Meanwhile, a strong stretching vibration peak ascribed to SO band at 1000 cm −1 emerges at the F state, [ 51 ] which could be originated from SO 4 2– groups due to the formation of Mn x (OH) y SO 4 ·5H 2 O.…”
Section: Resultsmentioning
confidence: 99%
“…On the other hand, ex situ Fourier transform infrared (FTIR) spectra further verify the hydrogen bond formation during the ammoniation/ de‐ammoniation cycles (Figure 4i,j). The FTIR peaks ≈3300—3500 cm −1 is ascribed to the –OH bands from the OH group in our MnAl‐LDH structure, [ 50 ] which gradually disappear during the first charge process from A to G state, corresponding to the aforementioned amorphous transformation and layered structure collapse accompanied with the dissolution of Mn species in LDH. Meanwhile, a strong stretching vibration peak ascribed to SO band at 1000 cm −1 emerges at the F state, [ 51 ] which could be originated from SO 4 2– groups due to the formation of Mn x (OH) y SO 4 ·5H 2 O.…”
Section: Resultsmentioning
confidence: 99%
“…[ 18 ] The electron‐deficient Co sites and electron‐rich Pt site can be considered FLP‐acid site and FLP‐base site, respectively. The M–S effect, meanwhile, performs a similar role to steric hindrance in the classical FLP catalyst, [ 19 ] which prevents the cancellation of positive and negative charges. [ 20 ] At the meantime, the highly ordered arrangement of atoms on the surface of IMA provides high‐density metal pairs.…”
Section: Resultsmentioning
confidence: 99%
“…Cao et al [5] studied the dispersive behavior of RW in a half-space by using the perturbation technique. Li et al [6] investigated RW propagation in a Functionally Graded Piezoelectric Material (FGPM) half-space by means of a method based on the Laguerre polynomials. Zhang et al [7] used an exact approach to investigate RW in an initially stressed Magneto-Electro-Elastic half-space.…”
Section: Introductionmentioning
confidence: 99%