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Analytical Solution of SH-Wave Scattering by Arbitrary Shape Tunnels in Nonlocal Fractional-Order Viscoelastic Half-Space.

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Title: Analytical Solution of SH-Wave Scattering by Arbitrary Shape Tunnels in Nonlocal Fractional-Order Viscoelastic Half-Space.
Authors: Liang, Yuwang1 (AUTHOR) liangyw@yeah.net, Cai, Yuanqiang2 (AUTHOR) caiyq@zju.edu.cn, Yuan, Zonghao2 (AUTHOR) yuanzh@zju.edu.cn, Zhou, Fengxi3 (AUTHOR) geolut@163.com
Source: International Journal of Geomechanics. Apr2026, Vol. 26 Issue 4, p1-10. 10p.
Subject Terms: *Conformal mapping, *Stress concentration, *Scientific method, *Tunnel design & construction, *Wave diffraction, *Viscoelastic materials, *Viscoelasticity, *Complex variables
Abstract: In this paper, an analytical solution for the scattering of plane SH waves by arbitrarily shaped tunnels in a nonlocal fractional-order viscoelastic half-space is presented by using complex variable theory. First, the complex dynamical boundary science problem is simplified by introducing a conformal mapping function that maps an arbitrarily shaped tunnel to a unit circle. Then, a fractional-order viscoelastic model is introduced to portray the viscoelastic properties of the soil, and nonlocal effects, such as the particle scale of the soil, are considered in conjunction with nonlocal theory. The wave function expansion method constructs the scattered field displacement potential function that satisfies the zero-stress condition at the ground-surface boundary. Finally, the effects of incident wave property, tunnel shape, and soil behaviors on the dynamic stress concentration factor of the tunnel are analyzed using numerical examples. The results show that the incident-wave frequency, tunnel shape, and soil properties have a significant effect on the distribution of dynamic concentration factors in tunnels, noncircular tunnels have noticeable scattering and interfering effects on plane SH waves, and the distribution of dynamic stress concentration factors on the inner surfaces of the tunnel is more complicated. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 191606926
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Analytical Solution of SH-Wave Scattering by Arbitrary Shape Tunnels in Nonlocal Fractional-Order Viscoelastic Half-Space.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Liang%2C+Yuwang%22">Liang, Yuwang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> liangyw@yeah.net</i><br /><searchLink fieldCode="AR" term="%22Cai%2C+Yuanqiang%22">Cai, Yuanqiang</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> caiyq@zju.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Yuan%2C+Zonghao%22">Yuan, Zonghao</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> yuanzh@zju.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhou%2C+Fengxi%22">Zhou, Fengxi</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> geolut@163.com</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Geomechanics%22">International Journal of Geomechanics</searchLink>. Apr2026, Vol. 26 Issue 4, p1-10. 10p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Conformal+mapping%22">Conformal mapping</searchLink><br />*<searchLink fieldCode="DE" term="%22Stress+concentration%22">Stress concentration</searchLink><br />*<searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br />*<searchLink fieldCode="DE" term="%22Tunnel+design+%26+construction%22">Tunnel design & construction</searchLink><br />*<searchLink fieldCode="DE" term="%22Wave+diffraction%22">Wave diffraction</searchLink><br />*<searchLink fieldCode="DE" term="%22Viscoelastic+materials%22">Viscoelastic materials</searchLink><br />*<searchLink fieldCode="DE" term="%22Viscoelasticity%22">Viscoelasticity</searchLink><br />*<searchLink fieldCode="DE" term="%22Complex+variables%22">Complex variables</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, an analytical solution for the scattering of plane SH waves by arbitrarily shaped tunnels in a nonlocal fractional-order viscoelastic half-space is presented by using complex variable theory. First, the complex dynamical boundary science problem is simplified by introducing a conformal mapping function that maps an arbitrarily shaped tunnel to a unit circle. Then, a fractional-order viscoelastic model is introduced to portray the viscoelastic properties of the soil, and nonlocal effects, such as the particle scale of the soil, are considered in conjunction with nonlocal theory. The wave function expansion method constructs the scattered field displacement potential function that satisfies the zero-stress condition at the ground-surface boundary. Finally, the effects of incident wave property, tunnel shape, and soil behaviors on the dynamic stress concentration factor of the tunnel are analyzed using numerical examples. The results show that the incident-wave frequency, tunnel shape, and soil properties have a significant effect on the distribution of dynamic concentration factors in tunnels, noncircular tunnels have noticeable scattering and interfering effects on plane SH waves, and the distribution of dynamic stress concentration factors on the inner surfaces of the tunnel is more complicated. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1061/IJGNAI.GMENG-12858
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 10
        StartPage: 1
    Subjects:
      – SubjectFull: Conformal mapping
        Type: general
      – SubjectFull: Stress concentration
        Type: general
      – SubjectFull: Scientific method
        Type: general
      – SubjectFull: Tunnel design & construction
        Type: general
      – SubjectFull: Wave diffraction
        Type: general
      – SubjectFull: Viscoelastic materials
        Type: general
      – SubjectFull: Viscoelasticity
        Type: general
      – SubjectFull: Complex variables
        Type: general
    Titles:
      – TitleFull: Analytical Solution of SH-Wave Scattering by Arbitrary Shape Tunnels in Nonlocal Fractional-Order Viscoelastic Half-Space.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Liang, Yuwang
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          Name:
            NameFull: Cai, Yuanqiang
      – PersonEntity:
          Name:
            NameFull: Yuan, Zonghao
      – PersonEntity:
          Name:
            NameFull: Zhou, Fengxi
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          Dates:
            – D: 01
              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 15323641
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            – Type: volume
              Value: 26
            – Type: issue
              Value: 4
          Titles:
            – TitleFull: International Journal of Geomechanics
              Type: main
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