Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress

Rajneesh Kakar; Shikha Kakar

doi:doi:10.11648/j.ijmsa.20130201.12

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Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress

Rajneesh Kakar, Shikha Kakar

Published in International Journal of Materials Science and Applications (Volume 2, Issue 1)

Published: 10 January 2013

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Abstract

The present study reveals the effects of various parameters and non-homogeneity on the surface waves propagating in viscoelastic medium. The theory of generalized surface waves has firstly been developed and then it has been employed to study the surface waves. Dispersion relation for Stoneley waves, Rayleigh waves and Love waves has been deduced. It has been observed that in the absence of viscosity, temperature, gravity, magnetism, couple stress and non-homogeneity of the material medium, the results obtained are in well agreement with the corresponding classical results.

Published in	International Journal of Materials Science and Applications (Volume 2, Issue 1)
DOI	10.11648/j.ijmsa.20130201.12
Page(s)	8-19
Creative Commons	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), 2013. Published by Science Publishing Group

Keywords

Viscoelastic Solid Medium, Gravity, Couple stress, Inhomogeneities, Variable density

References

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[7]	Love AEH, Some problems of Geodynamics. Cambridge University Press, London, 1965.
[8]	Sezawa K, Dispersion of elastic waves propagated on the surface of stratified bodies and on curved surfaces, Bull. Earthq. Res. Inst. Tokyo, 1927, 3, 1-18.
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[10]	Haskell, NA, The dispersion of surface waves in multilayered media, Bull. Seis. Soc. Amer., 1953, 43, 17-34.
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[12]	M.A. Biot, Mechanics of incremental Deformations, J. Willy, 1965.
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[14]	De SK, Sengupta PR, Influence of gravity on wave propagation in an elastic layer, J.Acanst. Soc. Am., 1974, 55, 5-13.
[15]	Sengupta PR, Acharya D, The influence of gravity on the propagation of waves in a thermoelastic layer, Rev. Romm. Sci. Techmol. Mech. Appl., Tome, 1979, 24, 395-406.
[16]	Brunelle EJ, Surface wave propagation under initial tension or compression, Bull. Seismol. Soc. Am., 1973, 63, 1895-1899.
[17]	Roy PP, Wave propagation in a thinly two layered medium with stress couples under initial stresses, Acta Mechanisms, 1984, 54, 1-21.
[18]	Datta BK, Some observation on interactions of Rayleigh waves in an elastic solid medium with the gravity field, Rev. Roumaine Sci. Tech. Ser. Mec. Appl., 1986, 31, 369-374.
[19]	Goda MA, The effect of inhomogeneity and onisotropy on Stoneley waves, Acta Mech., 1992, 93, 89-98.
[20]	Abd-Alla AM, Ahmed SM, Rayleigh waves in an orthotropic thermoelastic medium under gravity field and initial stress, J. Earth, Moon Planets, 1996, 75, 185-197.
[21]	Kakar R, Kakar S, Gupta KC, Surface wave propagation in non homogeneous, general magneto-thermo, viscoelastic media, Inter-national Journal of IT, Engineering and Applied Sciences Research, 2012, 1(1), 42-49.
[22]	Kakar R and S. Kakar, Rayleigh waves in a non-homogeneous granular media. J. Chem. Bio. Phy. Sci. Sec. B, 2012-2013, 3(1),464-509.
[23]	Kakar R, Kakar S, Thermoelastic Surface Waves Propagation in Non-Homogeneous Viscoelastic Media of Higher Order. JECET, 2012-2013, 2(1), 57-69.
[24]	Kakar R, Kakar S, Magnetoelastic Surface Waves Propagation in Non-Homogeneous Viscoelastic Media of Higher Order. J. Chem. Bio. Phy. Sci. Sec. B, 2012-2013, 3(1), 498-478.
[25]	Kakar R, Kakar S, Propagation of Stoneley, Rayleigh and Love waves in viscoelastic media of higher order. International Journal of Current Research, 2012, 4(12), 249-257.
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APA Style

Rajneesh Kakar, Shikha Kakar. (2013). Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress. International Journal of Materials Science and Applications, 2(1), 8-19. https://doi.org/10.11648/j.ijmsa.20130201.12

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ACS Style

Rajneesh Kakar; Shikha Kakar. Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress. Int. J. Mater. Sci. Appl. 2013, 2(1), 8-19. doi: 10.11648/j.ijmsa.20130201.12

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AMA Style

Rajneesh Kakar, Shikha Kakar. Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress. Int J Mater Sci Appl. 2013;2(1):8-19. doi: 10.11648/j.ijmsa.20130201.12

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@article{10.11648/j.ijmsa.20130201.12,
  author = {Rajneesh Kakar and Shikha Kakar},
  title = {Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress},
  journal = {International Journal of Materials Science and Applications},
  volume = {2},
  number = {1},
  pages = {8-19},
  doi = {10.11648/j.ijmsa.20130201.12},
  url = {https://doi.org/10.11648/j.ijmsa.20130201.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmsa.20130201.12},
  abstract = {The present study reveals the effects of various parameters and non-homogeneity on the surface waves propagating in viscoelastic medium. The theory of generalized surface waves has firstly been developed and then it has been employed to study the surface waves. Dispersion relation for Stoneley waves, Rayleigh waves and Love waves has been deduced. It has been observed that in the absence of viscosity, temperature, gravity, magnetism, couple stress and non-homogeneity of the material medium, the results obtained are in well agreement with the corresponding classical results.},
 year = {2013}
}

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TY  - JOUR
T1  - Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress
AU  - Rajneesh Kakar
AU  - Shikha Kakar
Y1  - 2013/01/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ijmsa.20130201.12
DO  - 10.11648/j.ijmsa.20130201.12
T2  - International Journal of Materials Science and Applications
JF  - International Journal of Materials Science and Applications
JO  - International Journal of Materials Science and Applications
SP  - 8
EP  - 19
PB  - Science Publishing Group
SN  - 2327-2643
UR  - https://doi.org/10.11648/j.ijmsa.20130201.12
AB  - The present study reveals the effects of various parameters and non-homogeneity on the surface waves propagating in viscoelastic medium. The theory of generalized surface waves has firstly been developed and then it has been employed to study the surface waves. Dispersion relation for Stoneley waves, Rayleigh waves and Love waves has been deduced. It has been observed that in the absence of viscosity, temperature, gravity, magnetism, couple stress and non-homogeneity of the material medium, the results obtained are in well agreement with the corresponding classical results.
VL  - 2
IS  - 1
ER  -

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Author Information

Rajneesh Kakar

Principal, DIPS Polytechnic College, Hoshiarpur, India
Shikha Kakar

Faculty of Electrical Engineering, SBBSIET Padhiana Jalandhar, India

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APA Style

Rajneesh Kakar, Shikha Kakar. (2013). Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress. International Journal of Materials Science and Applications, 2(1), 8-19. https://doi.org/10.11648/j.ijmsa.20130201.12

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ACS Style

Rajneesh Kakar; Shikha Kakar. Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress. Int. J. Mater. Sci. Appl. 2013, 2(1), 8-19. doi: 10.11648/j.ijmsa.20130201.12

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AMA Style

Rajneesh Kakar, Shikha Kakar. Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress. Int J Mater Sci Appl. 2013;2(1):8-19. doi: 10.11648/j.ijmsa.20130201.12

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@article{10.11648/j.ijmsa.20130201.12,
  author = {Rajneesh Kakar and Shikha Kakar},
  title = {Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress},
  journal = {International Journal of Materials Science and Applications},
  volume = {2},
  number = {1},
  pages = {8-19},
  doi = {10.11648/j.ijmsa.20130201.12},
  url = {https://doi.org/10.11648/j.ijmsa.20130201.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmsa.20130201.12},
  abstract = {The present study reveals the effects of various parameters and non-homogeneity on the surface waves propagating in viscoelastic medium. The theory of generalized surface waves has firstly been developed and then it has been employed to study the surface waves. Dispersion relation for Stoneley waves, Rayleigh waves and Love waves has been deduced. It has been observed that in the absence of viscosity, temperature, gravity, magnetism, couple stress and non-homogeneity of the material medium, the results obtained are in well agreement with the corresponding classical results.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress
AU  - Rajneesh Kakar
AU  - Shikha Kakar
Y1  - 2013/01/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ijmsa.20130201.12
DO  - 10.11648/j.ijmsa.20130201.12
T2  - International Journal of Materials Science and Applications
JF  - International Journal of Materials Science and Applications
JO  - International Journal of Materials Science and Applications
SP  - 8
EP  - 19
PB  - Science Publishing Group
SN  - 2327-2643
UR  - https://doi.org/10.11648/j.ijmsa.20130201.12
AB  - The present study reveals the effects of various parameters and non-homogeneity on the surface waves propagating in viscoelastic medium. The theory of generalized surface waves has firstly been developed and then it has been employed to study the surface waves. Dispersion relation for Stoneley waves, Rayleigh waves and Love waves has been deduced. It has been observed that in the absence of viscosity, temperature, gravity, magnetism, couple stress and non-homogeneity of the material medium, the results obtained are in well agreement with the corresponding classical results.
VL  - 2
IS  - 1
ER  -

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