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Diffraction of a Plane Elastic Wave by a Gradient Transversely Isotropic Layer.

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Title: Diffraction of a Plane Elastic Wave by a Gradient Transversely Isotropic Layer.
Authors: Anufrieva, Anastasiia1, Tumakov, Dmitrii1 dtumakov@ksu.ru
Source: Advances in Acoustics & Vibration. 2013, p1-8. 8p.
Subjects: Elastic wave diffraction, Boundary value problems, Fourier transforms, Young's modulus, Ordinary differential equations, Isotropic properties
Abstract: The problem of diffraction of a plane elastic wave by a gradient transversely isotropic layer is considered. Using the method of overdetermined boundary value problem in combination with the Fourier transform method, the system of ordinary differential equations of the second order with boundary conditions of the third type is obtained which is solved by the grid method. Results of calculations obtained using the above-mentioned technique for the case of piecewise linear profiles for the Young modulus of the layer are given. [ABSTRACT FROM AUTHOR]
Copyright of Advances in Acoustics & Vibration 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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Header DbId: egs
DbLabel: Engineering Source
An: 94670368
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Diffraction of a Plane Elastic Wave by a Gradient Transversely Isotropic Layer.
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  Data: <searchLink fieldCode="AR" term="%22Anufrieva%2C+Anastasiia%22">Anufrieva, Anastasiia</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Tumakov%2C+Dmitrii%22">Tumakov, Dmitrii</searchLink><relatesTo>1</relatesTo><i> dtumakov@ksu.ru</i>
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  Data: <searchLink fieldCode="JN" term="%22Advances+in+Acoustics+%26+Vibration%22">Advances in Acoustics & Vibration</searchLink>. 2013, p1-8. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Elastic+wave+diffraction%22">Elastic wave diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Young's+modulus%22">Young's modulus</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Isotropic+properties%22">Isotropic properties</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The problem of diffraction of a plane elastic wave by a gradient transversely isotropic layer is considered. Using the method of overdetermined boundary value problem in combination with the Fourier transform method, the system of ordinary differential equations of the second order with boundary conditions of the third type is obtained which is solved by the grid method. Results of calculations obtained using the above-mentioned technique for the case of piecewise linear profiles for the Young modulus of the layer are given. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Advances in Acoustics & Vibration 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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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1155/2013/262067
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 8
        StartPage: 1
    Subjects:
      – SubjectFull: Elastic wave diffraction
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Fourier transforms
        Type: general
      – SubjectFull: Young's modulus
        Type: general
      – SubjectFull: Ordinary differential equations
        Type: general
      – SubjectFull: Isotropic properties
        Type: general
    Titles:
      – TitleFull: Diffraction of a Plane Elastic Wave by a Gradient Transversely Isotropic Layer.
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            NameFull: Anufrieva, Anastasiia
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            NameFull: Tumakov, Dmitrii
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          Dates:
            – D: 01
              M: 01
              Text: 2013
              Type: published
              Y: 2013
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              Value: 16876261
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            – TitleFull: Advances in Acoustics & Vibration
              Type: main
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