Diffraction of Elastic Waves in Fluid-Layered Solid Interfaces by an Integral Formulation.

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Title: Diffraction of Elastic Waves in Fluid-Layered Solid Interfaces by an Integral Formulation.
Authors: Basaldúa-Sánchez, J. E.1 m.c.jovanebasalduasanchez@hotmail.com, Samayoa-Ochoa, D.1, Rodríguez-Sánchez, J. E.2, Rodríguez-Castellanos, A.2, Carbajal-Romero, M.3
Source: Journal of Applied Mathematics. 2013, p1-9. 9p.
Subjects: Elastic wave diffraction, Integral equations, Hankel functions, Wavenumber, Elastic solids, Approximation theory, Boundary element methods
Abstract: In the present communication, scattering of elastic waves in fluid-layered solid interfaces is studied. The indirect boundary element method is used to deal with this wave propagation phenomenon in 2D fluid-layered solid models. The source is represented by Hankel's function of second kind and this is always applied in the fluid. Our method is an approximate boundary integral technique which is based upon an integral representation for scattered elastic waves using single-layer boundary sources. This approach is typically called indirect because the sources' strengths are calculated as an intermediate step. In addition, this formulation is regarded as a realization of Huygens' principle. The results are presented in frequency and time domains. Various aspects related to the different wave types that emerge from this kind of problems are emphasized. A near interface pulse generates changes in the pressure field and can be registered by receivers located in the fluid. In order to show the accuracy of our method, we validated the results with those obtained by the discrete wave number applied to a fluid-solid interface joining two half-spaces, one fluid and the other an elastic solid. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Applied Mathematics 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.)
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  Data: Diffraction of Elastic Waves in Fluid-Layered Solid Interfaces by an Integral Formulation.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mathematics%22">Journal of Applied Mathematics</searchLink>. 2013, p1-9. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Elastic+wave+diffraction%22">Elastic wave diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+equations%22">Integral equations</searchLink><br /><searchLink fieldCode="DE" term="%22Hankel+functions%22">Hankel functions</searchLink><br /><searchLink fieldCode="DE" term="%22Wavenumber%22">Wavenumber</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+solids%22">Elastic solids</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+element+methods%22">Boundary element methods</searchLink>
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  Data: In the present communication, scattering of elastic waves in fluid-layered solid interfaces is studied. The indirect boundary element method is used to deal with this wave propagation phenomenon in 2D fluid-layered solid models. The source is represented by Hankel's function of second kind and this is always applied in the fluid. Our method is an approximate boundary integral technique which is based upon an integral representation for scattered elastic waves using single-layer boundary sources. This approach is typically called indirect because the sources' strengths are calculated as an intermediate step. In addition, this formulation is regarded as a realization of Huygens' principle. The results are presented in frequency and time domains. Various aspects related to the different wave types that emerge from this kind of problems are emphasized. A near interface pulse generates changes in the pressure field and can be registered by receivers located in the fluid. In order to show the accuracy of our method, we validated the results with those obtained by the discrete wave number applied to a fluid-solid interface joining two half-spaces, one fluid and the other an elastic solid. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of Applied Mathematics 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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        Value: 10.1155/2013/469428
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 1
    Subjects:
      – SubjectFull: Elastic wave diffraction
        Type: general
      – SubjectFull: Integral equations
        Type: general
      – SubjectFull: Hankel functions
        Type: general
      – SubjectFull: Wavenumber
        Type: general
      – SubjectFull: Elastic solids
        Type: general
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Boundary element methods
        Type: general
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      – TitleFull: Diffraction of Elastic Waves in Fluid-Layered Solid Interfaces by an Integral Formulation.
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            NameFull: Basaldúa-Sánchez, J. E.
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            NameFull: Samayoa-Ochoa, D.
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            NameFull: Rodríguez-Castellanos, A.
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            NameFull: Carbajal-Romero, M.
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              M: 01
              Text: 2013
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