Effect of initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure.

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Title: Effect of initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure.
Authors: Majhi, Dinesh Kumar1 (AUTHOR), Kumar, Manish2 (AUTHOR), Rajak, Bhanu Pratap3 (AUTHOR) pratapb536@gmail.com, Vishwakarma, Sumit Kumar4 (AUTHOR)
Source: Acta Mechanica. May2025, Vol. 236 Issue 5, p3281-3294. 14p.
Subjects: Phase velocity, Dispersion relations, Theory of wave motion, Wavenumber, Inhomogeneous materials
Abstract: The purpose of the present paper is to discuss Love wave transmission on an inhomogeneous composite medium to illustrate the influence of inhomogeneity and pre-stresses on the velocity of the wave. The present model has been composed of a homogeneous elastic medium bounded by initially stressed inhomogeneous half-spaces with linearly varying properties in rigidity and density. The equations of coupled fields have been solved analytically with the help of Whittaker's equation. The dispersion relation of the stated problem is secured by using the continuity assumptions. In order to compute phase velocity, mathematical data for composed half-spaces and layers have been used. These analytical studies on Love waves yield three main results: (1) The phase velocity decreases with increasing wave number. (2) The ascending of initial stresses related to lower and upper half-spaces on the composite enhances the wave velocity. (3) Also, phase velocity accelerates rapidly with ascending values of rigidity heterogeneity parameter. [ABSTRACT FROM AUTHOR]
Copyright of Acta Mechanica is the property of Springer Nature 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: Effect of initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure.
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  Data: <searchLink fieldCode="DE" term="%22Phase+velocity%22">Phase velocity</searchLink><br /><searchLink fieldCode="DE" term="%22Dispersion+relations%22">Dispersion relations</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Wavenumber%22">Wavenumber</searchLink><br /><searchLink fieldCode="DE" term="%22Inhomogeneous+materials%22">Inhomogeneous materials</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The purpose of the present paper is to discuss Love wave transmission on an inhomogeneous composite medium to illustrate the influence of inhomogeneity and pre-stresses on the velocity of the wave. The present model has been composed of a homogeneous elastic medium bounded by initially stressed inhomogeneous half-spaces with linearly varying properties in rigidity and density. The equations of coupled fields have been solved analytically with the help of Whittaker's equation. The dispersion relation of the stated problem is secured by using the continuity assumptions. In order to compute phase velocity, mathematical data for composed half-spaces and layers have been used. These analytical studies on Love waves yield three main results: (1) The phase velocity decreases with increasing wave number. (2) The ascending of initial stresses related to lower and upper half-spaces on the composite enhances the wave velocity. (3) Also, phase velocity accelerates rapidly with ascending values of rigidity heterogeneity parameter. [ABSTRACT FROM AUTHOR]
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  Label:
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  Data: <i>Copyright of Acta Mechanica is the property of Springer Nature 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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        Value: 10.1007/s00707-025-04324-7
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      – Code: eng
        Text: English
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        PageCount: 14
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        Type: general
      – SubjectFull: Dispersion relations
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Wavenumber
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      – SubjectFull: Inhomogeneous materials
        Type: general
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      – TitleFull: Effect of initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure.
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            NameFull: Majhi, Dinesh Kumar
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            NameFull: Kumar, Manish
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            NameFull: Rajak, Bhanu Pratap
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            – D: 01
              M: 05
              Text: May2025
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              Y: 2025
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