Scattering of bulk strain solitary waves in bi-layers with delamination.

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Title: Scattering of bulk strain solitary waves in bi-layers with delamination.
Authors: Khusnutdinova, K.R.1 K.Khusnutdinova@lboro.ac.uk, Tranter, M.R.1
Source: Procedia Engineering. 2017, Vol. 199, p1533-1538. 6p.
Subjects: Delamination of composite materials, Scattering potentials, Waves (Physics), Korteweg-de Vries equation, Computer simulation
Abstract: We study the scattering of longitudinal bulk strain solitary waves in delaminated bi-layers with different types of bonding. The direct numerical modelling of these problems is challenging and has natural limitations. We develop a semi-analytical approach, based on the use of several matched asymptotic multiple-scale expansions and the Integrability Theory of the Korteweg - de Vries equation by the Inverse Scattering Transform. We show that the semi-analytical approach agrees well with the direct numerical simulations and use it to study the scattering of different types of longitudinal bulk strain solitary waves in a wide range of bi-layers with delamination. In particular, we model the dynamics of a long longitudinal strain solitary wave in a symmetric perfectly bonded bi-layer with delamination. The numerical modelling confirms that delamination causes fission of an incident solitary wave and, thus, can be used to detect the defect. We then extend our approaches to the modelling of the waves in bi-layers with soft (“imperfect”) bonding, described by a system of coupled Boussinesq equations and supporting radiating solitary waves. The results may help us to control the integrity of layered structures. [ABSTRACT FROM AUTHOR]
Copyright of Procedia Engineering is the property of Elsevier B.V. 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: Scattering of bulk strain solitary waves in bi-layers with delamination.
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  Data: <searchLink fieldCode="JN" term="%22Procedia+Engineering%22">Procedia Engineering</searchLink>. 2017, Vol. 199, p1533-1538. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Delamination+of+composite+materials%22">Delamination of composite materials</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+potentials%22">Scattering potentials</searchLink><br /><searchLink fieldCode="DE" term="%22Waves+%28Physics%29%22">Waves (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Korteweg-de+Vries+equation%22">Korteweg-de Vries equation</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
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  Data: We study the scattering of longitudinal bulk strain solitary waves in delaminated bi-layers with different types of bonding. The direct numerical modelling of these problems is challenging and has natural limitations. We develop a semi-analytical approach, based on the use of several matched asymptotic multiple-scale expansions and the Integrability Theory of the Korteweg - de Vries equation by the Inverse Scattering Transform. We show that the semi-analytical approach agrees well with the direct numerical simulations and use it to study the scattering of different types of longitudinal bulk strain solitary waves in a wide range of bi-layers with delamination. In particular, we model the dynamics of a long longitudinal strain solitary wave in a symmetric perfectly bonded bi-layer with delamination. The numerical modelling confirms that delamination causes fission of an incident solitary wave and, thus, can be used to detect the defect. We then extend our approaches to the modelling of the waves in bi-layers with soft (“imperfect”) bonding, described by a system of coupled Boussinesq equations and supporting radiating solitary waves. The results may help us to control the integrity of layered structures. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Procedia Engineering is the property of Elsevier B.V. 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: 10.1016/j.proeng.2017.09.497
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      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 1533
    Subjects:
      – SubjectFull: Delamination of composite materials
        Type: general
      – SubjectFull: Scattering potentials
        Type: general
      – SubjectFull: Waves (Physics)
        Type: general
      – SubjectFull: Korteweg-de Vries equation
        Type: general
      – SubjectFull: Computer simulation
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      – TitleFull: Scattering of bulk strain solitary waves in bi-layers with delamination.
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              Text: 2017
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