A variable nonlocal strain gradient theory for wave propagation analysis of infinite FGP nanosheet with surface effects in hygro-thermal environment.

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Title: A variable nonlocal strain gradient theory for wave propagation analysis of infinite FGP nanosheet with surface effects in hygro-thermal environment.
Authors: Doan, Thanh Son1 (AUTHOR), Thao, Pham Hong2 (AUTHOR) phthao@ntt.edu.vn, Tran, Van Ke3 (AUTHOR)
Source: Mechanics Based Design of Structures & Machines. 2025, Vol. 53 Issue 7, p5175-5209. 35p.
Subjects: Strains & stresses (Mechanics), Hamilton's principle function, Theory of wave motion, Shear (Mechanics), Wave equation, Hygrothermoelasticity
Abstract: The main goal of this article is to present a refined higher-order shear deformation theory (HSDT) combined with the nonlocal strain gradient theory (NSGT) to analyze the wave propagation of infinite functionally graded porous (FGP) nanosheet lying on Pasternak medium, and in the hygro-thermal environment considering surface effect. The uniqueness of this study lies in its examination of the impact of spatial fluctuations in the nonlocal and length-scale parameters on the wave propagation of infinite FGP nanoplates. The governing equations of motion are established using Hamilton's principle and the wave propagating equations are resolved using the Navier closed-form solution. The accuracy and robustness of the proposed algorithm are demonstrated by comparing the present results with those available in the literature. Numerical illustrations demonstrate that the attributes of wave propagation of infinite FGP nanosheet are associated with the grading index, with or without surface effect, porosity parameter, nonlocal parameter, length-scale parameter, temperature and moisture changes are thoroughly examined. These results can be applied in fields such as radar, ultrasound, medicine, telecommunications, and navigation. [ABSTRACT FROM AUTHOR]
Copyright of Mechanics Based Design of Structures & Machines 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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  Data: A variable nonlocal strain gradient theory for wave propagation analysis of infinite FGP nanosheet with surface effects in hygro-thermal environment.
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  Data: <searchLink fieldCode="AR" term="%22Doan%2C+Thanh+Son%22">Doan, Thanh Son</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Thao%2C+Pham+Hong%22">Thao, Pham Hong</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> phthao@ntt.edu.vn</i><br /><searchLink fieldCode="AR" term="%22Tran%2C+Van+Ke%22">Tran, Van Ke</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mechanics+Based+Design+of+Structures+%26+Machines%22">Mechanics Based Design of Structures & Machines</searchLink>. 2025, Vol. 53 Issue 7, p5175-5209. 35p.
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  Data: <searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hamilton's+principle+function%22">Hamilton's principle function</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+%28Mechanics%29%22">Shear (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+equation%22">Wave equation</searchLink><br /><searchLink fieldCode="DE" term="%22Hygrothermoelasticity%22">Hygrothermoelasticity</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The main goal of this article is to present a refined higher-order shear deformation theory (HSDT) combined with the nonlocal strain gradient theory (NSGT) to analyze the wave propagation of infinite functionally graded porous (FGP) nanosheet lying on Pasternak medium, and in the hygro-thermal environment considering surface effect. The uniqueness of this study lies in its examination of the impact of spatial fluctuations in the nonlocal and length-scale parameters on the wave propagation of infinite FGP nanoplates. The governing equations of motion are established using Hamilton's principle and the wave propagating equations are resolved using the Navier closed-form solution. The accuracy and robustness of the proposed algorithm are demonstrated by comparing the present results with those available in the literature. Numerical illustrations demonstrate that the attributes of wave propagation of infinite FGP nanosheet are associated with the grading index, with or without surface effect, porosity parameter, nonlocal parameter, length-scale parameter, temperature and moisture changes are thoroughly examined. These results can be applied in fields such as radar, ultrasound, medicine, telecommunications, and navigation. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanics Based Design of Structures & Machines 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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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/15397734.2025.2462656
    Languages:
      – Code: eng
        Text: English
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        PageCount: 35
        StartPage: 5175
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      – SubjectFull: Strains & stresses (Mechanics)
        Type: general
      – SubjectFull: Hamilton's principle function
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Shear (Mechanics)
        Type: general
      – SubjectFull: Wave equation
        Type: general
      – SubjectFull: Hygrothermoelasticity
        Type: general
    Titles:
      – TitleFull: A variable nonlocal strain gradient theory for wave propagation analysis of infinite FGP nanosheet with surface effects in hygro-thermal environment.
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            NameFull: Doan, Thanh Son
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            NameFull: Thao, Pham Hong
      – PersonEntity:
          Name:
            NameFull: Tran, Van Ke
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          Dates:
            – D: 01
              M: 07
              Text: 2025
              Type: published
              Y: 2025
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              Value: 53
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            – TitleFull: Mechanics Based Design of Structures & Machines
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