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A Non‐Local Thermoelastic Plate With Voids Embedded Between Two Similar Elastic Layers.

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Title: A Non‐Local Thermoelastic Plate With Voids Embedded Between Two Similar Elastic Layers.
Authors: Ailawalia, Praveen1 (AUTHOR) praveen_2117@rediffmail.com
Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Jun2026, Vol. 106 Issue 6, p1-17. 17p.
Subjects: Thermoelasticity, Multilayers, Nanoscience, Resonance, Mechanical behavior of materials
Abstract: The problem is related to the analysis of a non‐local thermoelastic plate with voids embedded between two similar elastic layers. An internal heat source of magnitude Q0$Q_0$ is moving in the thermoelastic plate with velocity V$V$. The equations of motion are solved, and the expressions of displacement, stress, temperature distribution, and volume field are derived. The results are then complemented with a numerical example to show the variation of the non‐local parameter through graphical representations. The graphical results are also obtained for different values of moving heat source velocity, particularly comparing it with longitudinal wave velocity. A distinctive feature of this work lies in the consideration of an internal heat source of constant magnitude Q0$Q_0$ traveling with velocity V$V$, enabling the analysis of wave–thermal interactions under non‐stationary conditions. Unlike classical models, the inclusion of the non‐local parameter captures size‐dependent effects, which become significant at micro‐ and nano‐scales. The influence of the moving heat source velocity is systematically examined, particularly in relation to the longitudinal wave speed, revealing critical insights into resonance‐like behavior and wave modulation characteristics. [ABSTRACT FROM AUTHOR]
Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell 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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 194871301
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: A Non‐Local Thermoelastic Plate With Voids Embedded Between Two Similar Elastic Layers.
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  Data: <searchLink fieldCode="AR" term="%22Ailawalia%2C+Praveen%22">Ailawalia, Praveen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> praveen_2117@rediffmail.com</i>
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  Data: <searchLink fieldCode="DE" term="%22Thermoelasticity%22">Thermoelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Multilayers%22">Multilayers</searchLink><br /><searchLink fieldCode="DE" term="%22Nanoscience%22">Nanoscience</searchLink><br /><searchLink fieldCode="DE" term="%22Resonance%22">Resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+behavior+of+materials%22">Mechanical behavior of materials</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The problem is related to the analysis of a non‐local thermoelastic plate with voids embedded between two similar elastic layers. An internal heat source of magnitude Q0$Q_0$ is moving in the thermoelastic plate with velocity V$V$. The equations of motion are solved, and the expressions of displacement, stress, temperature distribution, and volume field are derived. The results are then complemented with a numerical example to show the variation of the non‐local parameter through graphical representations. The graphical results are also obtained for different values of moving heat source velocity, particularly comparing it with longitudinal wave velocity. A distinctive feature of this work lies in the consideration of an internal heat source of constant magnitude Q0$Q_0$ traveling with velocity V$V$, enabling the analysis of wave–thermal interactions under non‐stationary conditions. Unlike classical models, the inclusion of the non‐local parameter captures size‐dependent effects, which become significant at micro‐ and nano‐scales. The influence of the moving heat source velocity is systematically examined, particularly in relation to the longitudinal wave speed, revealing critical insights into resonance‐like behavior and wave modulation characteristics. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell 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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    Identifiers:
      – Type: doi
        Value: 10.1002/zamm.70505
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 1
    Subjects:
      – SubjectFull: Thermoelasticity
        Type: general
      – SubjectFull: Multilayers
        Type: general
      – SubjectFull: Nanoscience
        Type: general
      – SubjectFull: Resonance
        Type: general
      – SubjectFull: Mechanical behavior of materials
        Type: general
    Titles:
      – TitleFull: A Non‐Local Thermoelastic Plate With Voids Embedded Between Two Similar Elastic Layers.
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            NameFull: Ailawalia, Praveen
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          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 106
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              Value: 6
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            – TitleFull: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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