Propagation of shear horizontal (SH) waves in a functionally graded piezoelectric substrate with periodic gratings.

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Title: Propagation of shear horizontal (SH) waves in a functionally graded piezoelectric substrate with periodic gratings.
Authors: Gu, Chunlong1 (AUTHOR) 04520008@163.com, Ou, Zhiying1 (AUTHOR), Ma, Liansheng2 (AUTHOR), Zhao, Huanyu3,4 (AUTHOR)
Source: Acta Mechanica. Jul2023, Vol. 234 Issue 7, p2709-2724. 16p.
Subjects: Acoustic surface wave devices, Numerical roots, Elastic wave propagation, Piezoelectric materials, Finite element method, Band gaps, Thermal stresses
Abstract: Propagation characteristics of SH waves in a functionally graded piezoelectric material (FGPM) substrate with periodic gratings have been investigated in the article. The material constants of the FGPM substrate change exponentially along the thickness direction. An effective numerical root finding method is adopted to solve the dispersion equation of SH waves in the complex-value domain and the theoretical results are verified by the finite element method. Effects of the material properties and height of the gratings as well as the gradient coefficient of the FGPM substrate on band structures of SH waves are investigated in detail. Numerical results show that more SH surface modes are trapped in the gratings when the shear wave velocity in the gratings decreases. The surface modes are converted into the bulk modes by tuning the negative gradient coefficient. A new low-frequency band gap is opened and SH modes with high frequencies are trapped in the gratings completely by transforming the propagating modes into the resonant modes induced by the positive gradient coefficient. The results in the article provide a theoretical foundation for designing surface acoustic wave devices with high performance based on FGPMs. [ABSTRACT FROM AUTHOR]
Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Propagation of shear horizontal (SH) waves in a functionally graded piezoelectric substrate with periodic gratings.
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  Data: <searchLink fieldCode="AR" term="%22Gu%2C+Chunlong%22">Gu, Chunlong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 04520008@163.com</i><br /><searchLink fieldCode="AR" term="%22Ou%2C+Zhiying%22">Ou, Zhiying</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ma%2C+Liansheng%22">Ma, Liansheng</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhao%2C+Huanyu%22">Zhao, Huanyu</searchLink><relatesTo>3,4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Jul2023, Vol. 234 Issue 7, p2709-2724. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Acoustic+surface+wave+devices%22">Acoustic surface wave devices</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+roots%22">Numerical roots</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+wave+propagation%22">Elastic wave propagation</searchLink><br /><searchLink fieldCode="DE" term="%22Piezoelectric+materials%22">Piezoelectric materials</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Band+gaps%22">Band gaps</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+stresses%22">Thermal stresses</searchLink>
– Name: Abstract
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  Data: Propagation characteristics of SH waves in a functionally graded piezoelectric material (FGPM) substrate with periodic gratings have been investigated in the article. The material constants of the FGPM substrate change exponentially along the thickness direction. An effective numerical root finding method is adopted to solve the dispersion equation of SH waves in the complex-value domain and the theoretical results are verified by the finite element method. Effects of the material properties and height of the gratings as well as the gradient coefficient of the FGPM substrate on band structures of SH waves are investigated in detail. Numerical results show that more SH surface modes are trapped in the gratings when the shear wave velocity in the gratings decreases. The surface modes are converted into the bulk modes by tuning the negative gradient coefficient. A new low-frequency band gap is opened and SH modes with high frequencies are trapped in the gratings completely by transforming the propagating modes into the resonant modes induced by the positive gradient coefficient. The results in the article provide a theoretical foundation for designing surface acoustic wave devices with high performance based on FGPMs. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1007/s00707-023-03525-2
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 2709
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      – SubjectFull: Acoustic surface wave devices
        Type: general
      – SubjectFull: Numerical roots
        Type: general
      – SubjectFull: Elastic wave propagation
        Type: general
      – SubjectFull: Piezoelectric materials
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      – SubjectFull: Finite element method
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      – SubjectFull: Band gaps
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      – SubjectFull: Thermal stresses
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    Titles:
      – TitleFull: Propagation of shear horizontal (SH) waves in a functionally graded piezoelectric substrate with periodic gratings.
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            NameFull: Gu, Chunlong
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            NameFull: Ou, Zhiying
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            NameFull: Zhao, Huanyu
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              M: 07
              Text: Jul2023
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              Y: 2023
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