American Journal of Modern Physics

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Rayleigh Waves in a Non-Homogeneous, Thermo, Magneto, Prestressed Granular Material with Variable Density under the Effect of Gravity

Received: Dec. 20, 2012    Accepted:     Published:
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Abstract

The effect of various inhomogeneity factors on propagation of Rayleigh waves in prestressed elastic granular medium are investigated. Inhomogeneities have been assumed to vary exponentially with depth. Lame’s potential is used to solve the problem. Some special cases have also been deduced. Dispersion curves are computed numerically and presented graphically by using MathCAD. The results indicate that on neglecting various effects of inhomogeneity, initial stress and gravity, the calculations agrees with classical theories.

DOI 10.11648/j.ajmp.20130201.12
Published in American Journal of Modern Physics ( Volume 2, Issue 1, January 2013 )
Page(s) 7-20
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Inhomogeneous Granular Media, Gravity, Initial Stress, Rayleigh Waves

References
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    Rajneesh Kakar, Shikha Kakar. (). Rayleigh Waves in a Non-Homogeneous, Thermo, Magneto, Prestressed Granular Material with Variable Density under the Effect of Gravity. American Journal of Modern Physics, 2(1), 7-20. https://doi.org/10.11648/j.ajmp.20130201.12

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    ACS Style

    Rajneesh Kakar; Shikha Kakar. Rayleigh Waves in a Non-Homogeneous, Thermo, Magneto, Prestressed Granular Material with Variable Density under the Effect of Gravity. Am. J. Mod. Phys. , 2(1), 7-20. doi: 10.11648/j.ajmp.20130201.12

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    AMA Style

    Rajneesh Kakar, Shikha Kakar. Rayleigh Waves in a Non-Homogeneous, Thermo, Magneto, Prestressed Granular Material with Variable Density under the Effect of Gravity. Am J Mod Phys. ;2(1):7-20. doi: 10.11648/j.ajmp.20130201.12

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  • @article{10.11648/j.ajmp.20130201.12,
      author = {Rajneesh Kakar and Shikha Kakar},
      title = {Rayleigh Waves in a Non-Homogeneous, Thermo, Magneto, Prestressed Granular Material with Variable Density under the Effect of Gravity},
      journal = {American Journal of Modern Physics},
      volume = {2},
      number = {1},
      pages = {7-20},
      doi = {10.11648/j.ajmp.20130201.12},
      url = {https://doi.org/10.11648/j.ajmp.20130201.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.20130201.12},
      abstract = {The effect of various inhomogeneity factors on propagation of Rayleigh waves in prestressed elastic granular medium are investigated. Inhomogeneities have been assumed to vary exponentially with depth. Lame’s potential is used to solve the problem. Some special cases have also been deduced. Dispersion curves are computed numerically and presented graphically by using MathCAD. The results indicate that on neglecting various effects of inhomogeneity, initial stress and gravity, the calculations agrees with classical theories.},
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    }
    

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    AB  - The effect of various inhomogeneity factors on propagation of Rayleigh waves in prestressed elastic granular medium are investigated. Inhomogeneities have been assumed to vary exponentially with depth. Lame’s potential is used to solve the problem. Some special cases have also been deduced. Dispersion curves are computed numerically and presented graphically by using MathCAD. The results indicate that on neglecting various effects of inhomogeneity, initial stress and gravity, the calculations agrees with classical theories.
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Author Information
  • Principal, DIPS Polytechnic College, Hoshiarpur, Punjab, India

  • Assistant Professor, SBBSIET Padhiana, Jalandhar, Punjab, India

  • Section