Deflection of Nonperiodic Ice Sheet Due to Wave Interaction in the Presence of Current.

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Title: Deflection of Nonperiodic Ice Sheet Due to Wave Interaction in the Presence of Current.
Authors: Aggarwal, Akshita1 akshita.20maz0006@iitrpr.ac.in, Martha, S. C.1 scmartha@iitrpr.ac.in
Source: Journal of Offshore Mechanics & Arctic Engineering. Feb2026, Vol. 148 Issue 1, p1-6. 6p.
Subjects: Wave-current interaction, Mathematical models, Offshore structures, Fourier transforms, Marine engineering, Computer simulation
Abstract: A two-dimensional mathematical model for wave scattering induced by the interaction of a wave with a nonperiodic variable ice sheet with the inclusion of current is presented, primarily focusing on the ice sheet deflection arising from this interaction. The perturbation approach is initially used to solve the associated boundary value problem (BVP), followed by the Fourier transform technique. The main aim of this study is to derive an explicit analytical expression for the first-order deflection of the ice sheet and to examine its behavior for different physical parameters. Moreover, the surface strain of the ice sheet is also examined. For numerical simulations, an elastic plate having a Gaussian oscillatory shape is explored for its deflection under uniform current in connection to various physical parameters such as the spreading parameter, frequency parameter, and channel depth Froude number (current speed parameter). One significant observation is the emergence of an updrifting pattern in the deflection of ice sheet for very small spreading parameter values. In addition, the subharmonic peaks begin to transition into harmonic peaks as the Froude number increases. The findings of this study could be potentially useful to marine engineers and geologists while building coastal structures based on physical oceanographic conditions. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Offshore Mechanics & Arctic Engineering is the property of American Society of Mechanical Engineers 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: Deflection of Nonperiodic Ice Sheet Due to Wave Interaction in the Presence of Current.
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  Data: <searchLink fieldCode="AR" term="%22Aggarwal%2C+Akshita%22">Aggarwal, Akshita</searchLink><relatesTo>1</relatesTo><i> akshita.20maz0006@iitrpr.ac.in</i><br /><searchLink fieldCode="AR" term="%22Martha%2C+S%2E+C%2E%22">Martha, S. C.</searchLink><relatesTo>1</relatesTo><i> scmartha@iitrpr.ac.in</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Offshore+Mechanics+%26+Arctic+Engineering%22">Journal of Offshore Mechanics & Arctic Engineering</searchLink>. Feb2026, Vol. 148 Issue 1, p1-6. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Wave-current+interaction%22">Wave-current interaction</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Offshore+structures%22">Offshore structures</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Marine+engineering%22">Marine engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: A two-dimensional mathematical model for wave scattering induced by the interaction of a wave with a nonperiodic variable ice sheet with the inclusion of current is presented, primarily focusing on the ice sheet deflection arising from this interaction. The perturbation approach is initially used to solve the associated boundary value problem (BVP), followed by the Fourier transform technique. The main aim of this study is to derive an explicit analytical expression for the first-order deflection of the ice sheet and to examine its behavior for different physical parameters. Moreover, the surface strain of the ice sheet is also examined. For numerical simulations, an elastic plate having a Gaussian oscillatory shape is explored for its deflection under uniform current in connection to various physical parameters such as the spreading parameter, frequency parameter, and channel depth Froude number (current speed parameter). One significant observation is the emergence of an updrifting pattern in the deflection of ice sheet for very small spreading parameter values. In addition, the subharmonic peaks begin to transition into harmonic peaks as the Froude number increases. The findings of this study could be potentially useful to marine engineers and geologists while building coastal structures based on physical oceanographic conditions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Offshore Mechanics & Arctic Engineering is the property of American Society of Mechanical Engineers 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: 10.1115/1.4068817
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      – Code: eng
        Text: English
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        PageCount: 6
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      – SubjectFull: Wave-current interaction
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Offshore structures
        Type: general
      – SubjectFull: Fourier transforms
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      – SubjectFull: Marine engineering
        Type: general
      – SubjectFull: Computer simulation
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      – TitleFull: Deflection of Nonperiodic Ice Sheet Due to Wave Interaction in the Presence of Current.
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              M: 02
              Text: Feb2026
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              Y: 2026
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