Effect of scale length parameter on plane wave propagation under size-dependent thermoelasticity with one relaxation time.

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Title: Effect of scale length parameter on plane wave propagation under size-dependent thermoelasticity with one relaxation time.
Authors: Prasad, Rashmi1 (AUTHOR) rashmiprasad95@gmail.com
Source: Journal of Thermal Stresses. 2025, Vol. 48 Issue 2, p132-148. 17p.
Subjects: Plane wavefronts, Elastic waves, Theory of wave motion, Asymptotic expansions, Attenuation coefficients, Thermoelasticity
Abstract: This study explores the propagation of harmonic plane waves in elastic media within the framework of size-dependent thermoelasticity (SDT), incorporating the Lord–Shulman heat conduction model. Analytical calculations are derived to find the precise answers for the dispersion relation for the longitudinal plane wave. Asymptotic expansions are presented for high- and low-frequency regimes, characterizing key wave field parameters such as phase velocity, specific loss, attenuation coefficient, and penetration depth of dilatational waves. Numerical results are provided to validate the analytical findings and investigate the influence of varying scale length parameters. We compare the results of this study with the corresponding results in the context of generalized thermoelasticity theory with one relaxation time, as reported previously. Also, we analyze the impact of the thermal relaxation parameter on the plane wave in the presence of the scale length parameter. Some limiting cases are also noted and discussed. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Thermal Stresses is the property of Taylor & Francis Ltd 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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  Label: Title
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  Data: Effect of scale length parameter on plane wave propagation under size-dependent thermoelasticity with one relaxation time.
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  Data: <searchLink fieldCode="AR" term="%22Prasad%2C+Rashmi%22">Prasad, Rashmi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rashmiprasad95@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Thermal+Stresses%22">Journal of Thermal Stresses</searchLink>. 2025, Vol. 48 Issue 2, p132-148. 17p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Plane+wavefronts%22">Plane wavefronts</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+waves%22">Elastic waves</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+expansions%22">Asymptotic expansions</searchLink><br /><searchLink fieldCode="DE" term="%22Attenuation+coefficients%22">Attenuation coefficients</searchLink><br /><searchLink fieldCode="DE" term="%22Thermoelasticity%22">Thermoelasticity</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study explores the propagation of harmonic plane waves in elastic media within the framework of size-dependent thermoelasticity (SDT), incorporating the Lord–Shulman heat conduction model. Analytical calculations are derived to find the precise answers for the dispersion relation for the longitudinal plane wave. Asymptotic expansions are presented for high- and low-frequency regimes, characterizing key wave field parameters such as phase velocity, specific loss, attenuation coefficient, and penetration depth of dilatational waves. Numerical results are provided to validate the analytical findings and investigate the influence of varying scale length parameters. We compare the results of this study with the corresponding results in the context of generalized thermoelasticity theory with one relaxation time, as reported previously. Also, we analyze the impact of the thermal relaxation parameter on the plane wave in the presence of the scale length parameter. Some limiting cases are also noted and discussed. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Thermal Stresses is the property of Taylor & Francis Ltd 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: 10.1080/01495739.2025.2461508
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 132
    Subjects:
      – SubjectFull: Plane wavefronts
        Type: general
      – SubjectFull: Elastic waves
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Asymptotic expansions
        Type: general
      – SubjectFull: Attenuation coefficients
        Type: general
      – SubjectFull: Thermoelasticity
        Type: general
    Titles:
      – TitleFull: Effect of scale length parameter on plane wave propagation under size-dependent thermoelasticity with one relaxation time.
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            – D: 01
              M: 02
              Text: 2025
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              Y: 2025
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              Value: 48
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            – TitleFull: Journal of Thermal Stresses
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