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Effect of Irregularity on Torsional Surface Waves in an Initially Stressed Porous Layer Sandwiched Between Two Non-homogeneous Half-Spaces

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Abstract

The present work deals with the possibility of propagation of torsional surface waves in fluid saturated porous layer lying between two non-homogeneous half-spaces. It has been assumed directional rigidities and density vary hyperbolically in the upper half-space whereas rigidity and density are assumed to vary exponentially in the lower half-space. The irregularity is taken in the form of a triangle at the lower interface. The velocity equation has been derived and the results have been discussed. The study reveals that the torsional waves propagate in the assumed medium and the irregularity, initial stress, porosity, non-homogeneity parameter, anisotropy and ratio of directional rigidities have a pronounced influence on the propagation of torsional wave. Further it has been observed that neglecting the lower or upper half-space, the velocity equation of torsional surface waves for a homogeneous layer over or below a homogeneous half-space coincides with that of Love waves.

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Acknowledgements

The authors convey their sincere thanks to Indian School of Mines, Dhanbad-826004, India, for providing JRF to Mr. Anup Saha and also facilitating us with the best facilities.

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Authors and Affiliations

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

    Santimoy Kundu & Shishir Gupta

  2. Department of Mathematics, Rampurhat College, Rampurhat, 731224, India

    Anup Saha

  3. School of Mathematics, Thapar University Patiala, Patiala, 147004, India

    Pramod Kumar Vaishnav

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  1. Anup Saha
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  2. Santimoy Kundu
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  3. Shishir Gupta
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  4. Pramod Kumar Vaishnav
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Correspondence to Anup Saha.

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Saha, A., Kundu, S., Gupta, S. et al. Effect of Irregularity on Torsional Surface Waves in an Initially Stressed Porous Layer Sandwiched Between Two Non-homogeneous Half-Spaces. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 89, 171–183 (2019). https://doi.org/10.1007/s40010-017-0405-2

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  • DOI: https://doi.org/10.1007/s40010-017-0405-2

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