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Shear waves in elastic medium with void pores welded between vertically inhomogeneous and anisotropic magnetoelastic semi-infinite media

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Abstract

The paper intends to study the propagation of horizontally polarized shear waves in an elastic medium with void pores constrained between a vertically inhomogeneous and an anisotropic magnetoelastic semi-infinite media. Elasto-dynamical equations of elastic medium with void pores and magnetoelastic solid have been employed to investigate the shear wave propagation in the proposed three-layered earth model. Method of separation of variables has been incorporated to deduce the dispersion relation. All possible special cases have been envisaged and they fairly comply with the corresponding results for classical cases. The role of inhomogeneity parameter, thickness of layer, angle with which the wave crosses the magnetic field and anisotropic magnetoelastic coupling parameter for three different materials has been elucidated and represented by graphs using MATHEMATICA.

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Acknowledgements

The fellowship received from University Grants Commission, New Delhi through Grant No. F.7-79/2007(BSR) is gratefully acknowledged by the authors.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826004, India

    Shishir Gupta, Mostaid Ahmed & Abhijit Pramanik

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  1. Shishir Gupta
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  2. Mostaid Ahmed
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  3. Abhijit Pramanik
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Correspondence to Mostaid Ahmed.

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Gupta, S., Ahmed, M. & Pramanik, A. Shear waves in elastic medium with void pores welded between vertically inhomogeneous and anisotropic magnetoelastic semi-infinite media. Acta Geophys. 65, 139–149 (2017). https://doi.org/10.1007/s11600-017-0012-2

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  • DOI: https://doi.org/10.1007/s11600-017-0012-2

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