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On plane wave scattering at the piezothermoelastic half-space with impedance boundary condition.

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Title: On plane wave scattering at the piezothermoelastic half-space with impedance boundary condition.
Authors: Kirti1 (AUTHOR), Sahu, Sanjeev A.1 (AUTHOR) sanjeev@iitism.ac.in
Source: Acta Mechanica. Nov2024, Vol. 235 Issue 11, p6569-6584. 16p.
Subjects: Plane wavefronts, Scattering (Physics), Signal detection, Energy harvesting, Linear equations, Structural health monitoring
Abstract: Piezothermoelasticity and wave interaction studies hold immense significance in designing functional devices ranging from transducers to sensors for a variety of purposes like energy harvesting and structural health monitoring. These applications catalyze interest in this article which addresses the problem of reflection of plane wave at the boundary of piezothermoelastic half-space. Through this study, the effect of impedance parameter on amplitude and energy ratios of the reflected waves is studied. Four wave modes are indicated upon reflection and a linear system of equations is formed to obtain a closed-form expression for amplitude and energy ratios. These equations are solved by suitable mathematical tools leading to expression for amplitude ratios as a function of incidence angle. For a suitable piezothermoelastic medium, the ratios are plotted against incidence angle and the findings are compared for two well-known theories of thermoelasticity, namely, Lord–Shulman (LS theory) and Green–Lindsay (GL theory). The analytical outcomes suggest approximate values of impedance and incidence angle for preferred energy division between reflected waves. It is recognized that adding impedance increases the amplitude of the quasi-longitudinal (qP) wave and decreases that of the quasi-transverse wave, making it suitable for devices that require a more robust qP wave signal detection. [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: On plane wave scattering at the piezothermoelastic half-space with impedance boundary condition.
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  Data: <searchLink fieldCode="AR" term="%22Kirti%22">Kirti</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sahu%2C+Sanjeev+A%2E%22">Sahu, Sanjeev A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sanjeev@iitism.ac.in</i>
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  Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Nov2024, Vol. 235 Issue 11, p6569-6584. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Plane+wavefronts%22">Plane wavefronts</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+%28Physics%29%22">Scattering (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+detection%22">Signal detection</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+harvesting%22">Energy harvesting</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+equations%22">Linear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+health+monitoring%22">Structural health monitoring</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Piezothermoelasticity and wave interaction studies hold immense significance in designing functional devices ranging from transducers to sensors for a variety of purposes like energy harvesting and structural health monitoring. These applications catalyze interest in this article which addresses the problem of reflection of plane wave at the boundary of piezothermoelastic half-space. Through this study, the effect of impedance parameter on amplitude and energy ratios of the reflected waves is studied. Four wave modes are indicated upon reflection and a linear system of equations is formed to obtain a closed-form expression for amplitude and energy ratios. These equations are solved by suitable mathematical tools leading to expression for amplitude ratios as a function of incidence angle. For a suitable piezothermoelastic medium, the ratios are plotted against incidence angle and the findings are compared for two well-known theories of thermoelasticity, namely, Lord–Shulman (LS theory) and Green–Lindsay (GL theory). The analytical outcomes suggest approximate values of impedance and incidence angle for preferred energy division between reflected waves. It is recognized that adding impedance increases the amplitude of the quasi-longitudinal (qP) wave and decreases that of the quasi-transverse wave, making it suitable for devices that require a more robust qP wave signal detection. [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/s00707-024-04061-3
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      – Code: eng
        Text: English
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        StartPage: 6569
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      – SubjectFull: Plane wavefronts
        Type: general
      – SubjectFull: Scattering (Physics)
        Type: general
      – SubjectFull: Signal detection
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      – SubjectFull: Energy harvesting
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      – SubjectFull: Linear equations
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      – SubjectFull: Structural health monitoring
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      – TitleFull: On plane wave scattering at the piezothermoelastic half-space with impedance boundary condition.
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              M: 11
              Text: Nov2024
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              Y: 2024
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