Reflection of plane waves in a microelongated thermoelastic porous medium with Hall current under modified Green–Lindsay model: Reflection of plane waves in a microelongated thermoelastic porous medium: K. Yadav et al.

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Title: Reflection of plane waves in a microelongated thermoelastic porous medium with Hall current under modified Green–Lindsay model: Reflection of plane waves in a microelongated thermoelastic porous medium: K. Yadav et al.
Authors: Yadav, Komal1 (AUTHOR), Sheoran, Devender1 (AUTHOR), Kalkal, Kapil Kumar1 (AUTHOR) kapilkalkal_gju@rediffmail.com
Source: Acta Mechanica. Feb2025, Vol. 236 Issue 2, p1359-1380. 22p.
Subjects: Reflectance, Plane wavefronts, Attenuation coefficients, Porous materials, Longitudinal waves, Thermoelasticity
Abstract: In this article, a model of two-dimensional problem of generalized thermoelasticity for a homogeneous, isotropic, microelongated thermoelastic medium with voids and Hall current is established. The enunciation is applied to generalized thermoelasticity theory based on modified Green–Lindsay model. Five coupled waves are found to exist in the medium, namely longitudinal displacement wave (PI), transverse displacement wave (PII), thermal wave (PT), microelongation wave (PM) and volume fraction wave (PV). In order to calculate reflection coefficients, appropriate boundary conditions are taken into account. The numerical calculations have been carried out with the use of MATLAB programming, and reflection coefficients and energy ratios for these reflected waves have been calculated. Graphical representations show how Hall parameters, voids and microelongation affect reflection coefficients and phase velocities. Comparisons are done between the results when certain parameters are present and absent. Variation of attenuation coefficients with frequency is also shown in a plot. Energy ratio expressions have been obtained in explicit form and are represented graphically as functions of incidence angle. It has been established that the sum of the energy ratios at each angle of incidence during the reflection phenomena equals unity. Existing findings are reduced as particular cases for the validation of this study. [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: Reflection of plane waves in a microelongated thermoelastic porous medium with Hall current under modified Green–Lindsay model: Reflection of plane waves in a microelongated thermoelastic porous medium: K. Yadav et al.
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  Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Feb2025, Vol. 236 Issue 2, p1359-1380. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Reflectance%22">Reflectance</searchLink><br /><searchLink fieldCode="DE" term="%22Plane+wavefronts%22">Plane wavefronts</searchLink><br /><searchLink fieldCode="DE" term="%22Attenuation+coefficients%22">Attenuation coefficients</searchLink><br /><searchLink fieldCode="DE" term="%22Porous+materials%22">Porous materials</searchLink><br /><searchLink fieldCode="DE" term="%22Longitudinal+waves%22">Longitudinal waves</searchLink><br /><searchLink fieldCode="DE" term="%22Thermoelasticity%22">Thermoelasticity</searchLink>
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  Data: In this article, a model of two-dimensional problem of generalized thermoelasticity for a homogeneous, isotropic, microelongated thermoelastic medium with voids and Hall current is established. The enunciation is applied to generalized thermoelasticity theory based on modified Green–Lindsay model. Five coupled waves are found to exist in the medium, namely longitudinal displacement wave (PI), transverse displacement wave (PII), thermal wave (PT), microelongation wave (PM) and volume fraction wave (PV). In order to calculate reflection coefficients, appropriate boundary conditions are taken into account. The numerical calculations have been carried out with the use of MATLAB programming, and reflection coefficients and energy ratios for these reflected waves have been calculated. Graphical representations show how Hall parameters, voids and microelongation affect reflection coefficients and phase velocities. Comparisons are done between the results when certain parameters are present and absent. Variation of attenuation coefficients with frequency is also shown in a plot. Energy ratio expressions have been obtained in explicit form and are represented graphically as functions of incidence angle. It has been established that the sum of the energy ratios at each angle of incidence during the reflection phenomena equals unity. Existing findings are reduced as particular cases for the validation of this study. [ABSTRACT FROM AUTHOR]
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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/s00707-025-04222-y
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      – Code: eng
        Text: English
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      – SubjectFull: Reflectance
        Type: general
      – SubjectFull: Plane wavefronts
        Type: general
      – SubjectFull: Attenuation coefficients
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      – SubjectFull: Porous materials
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      – SubjectFull: Longitudinal waves
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      – SubjectFull: Thermoelasticity
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      – TitleFull: Reflection of plane waves in a microelongated thermoelastic porous medium with Hall current under modified Green–Lindsay model: Reflection of plane waves in a microelongated thermoelastic porous medium: K. Yadav et al.
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              M: 02
              Text: Feb2025
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              Y: 2025
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