Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media

Shikha Kakar; Rajneesh Kakar

doi:doi:10.11648/j.ijmsa.20130202.15

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Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media

Shikha Kakar, Rajneesh Kakar

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

Published: 10 March 2013

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Abstract

A mathematical approach is taken to investigate Love wave propagation in non-homogeneous electro-magneto-elastic media. The elastic media is assumed to be initially unstressed and at rest. In this study, it is assumed that mass density , elastic coefficients , dielectric coefficients magnetic permeability coefficients , piezoe-lectric coefficients piezomagnetic coefficients and magneto-electric coefficients of the specimen are space dependent. The analytical solution for dispersion of love waves is obtained for electromagnetically short and open case. It has been shown that non-homogeneity factor reduces the penetration depth of Love waves. The numerically results are shown graphically.

Published in	International Journal of Materials Science and Applications (Volume 2, Issue 2)
DOI	10.11648/j.ijmsa.20130202.15
Page(s)	61-67
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

Love Waves; Inhomogeneity; Electro-Magneto-Elastic

References

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[4]	Bin W, Jiangong Y, 2005, Cunfu H, Wave propagation in non-homogeneous magneto-electro-elastic plates, J. of Sound and Vib., 317, pp. 250-264.
[5]	Kong T, Li D X, Wang X, 2009, Thermo-magneto-dynamic stresses and perturbation of magnetic field vector in non-homogeneous hollow cylinder, Appl. Mathematical Modeling , 33, pp. 2939-2950.
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[9]	Qian Z, Jin F, Wang Z, 2004, Love waves propagation in a piezoelectric layered structure with initial stresses, Acta Mechanica, 171, pp. 41-57.
[10]	Wang Q, Quek S T, 2001, Love waves in piezoelectric coupled solid media. Smart Mater Struct, 10, pp. 380-388.
[11]	Ramirez F, Heyliger P R, Pan E, 2006, Free vibration response of two-dimensional magneto-electro-elastic laminated plates, J Sound Vibr, 292, pp. 626-644.
[12]	Aboudi J, 2001, Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites, Smart Mater. Struct., 10, pp. 867-877.
[13]	Liu YX, Wan JG, Liu JM, Nan CW, 2003, Effect of magnetic bias field on magnetoelectric coupling in magnetoelectric composites, J. Appl. Phys., 94, pp.5118-5122.
[14]	Zaitsev BD, Kuznetsova IE, Joshi SG, Borodina IA, 2001, Acoustic waves in piezoelectric plates bordered with viscous and conductive liquid, Ultrasonics, 39(1), pp. 45-50.
[15]	Du JK, Xian K, Wang J, Yong YK, 2008, Propagation of Love waves in prestressed piezoelectric layered structures loaded with viscous liquid, Acta Mechanica Solida Sinica, 21(6), pp. 542-548.
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[18]	Kakar R, Kakar S, 2012, Propagation of Love Waves in a Non-Homogeneous Elastic Media, J. Acad. Indus. Res. , 1(6), pp. 323-328.
[19]	Kakar R, Gupta KC, 2012, Propagation of Love Waves in A Non-Homogeneous Orthotropic Layer Under Compression ‘P’ Overlying Semi-Infinite Non-Homogeneous Medium, Global Journal of Pure and Applied Mathematics, 8(4), pp. 483-494.
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APA Style

Shikha Kakar, Rajneesh Kakar. (2013). Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media. International Journal of Materials Science and Applications, 2(2), 61-67. https://doi.org/10.11648/j.ijmsa.20130202.15

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ACS Style

Shikha Kakar; Rajneesh Kakar. Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media. Int. J. Mater. Sci. Appl. 2013, 2(2), 61-67. doi: 10.11648/j.ijmsa.20130202.15

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AMA Style

Shikha Kakar, Rajneesh Kakar. Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media. Int J Mater Sci Appl. 2013;2(2):61-67. doi: 10.11648/j.ijmsa.20130202.15

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@article{10.11648/j.ijmsa.20130202.15,
  author = {Shikha Kakar and Rajneesh Kakar},
  title = {Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media},
  journal = {International Journal of Materials Science and Applications},
  volume = {2},
  number = {2},
  pages = {61-67},
  doi = {10.11648/j.ijmsa.20130202.15},
  url = {https://doi.org/10.11648/j.ijmsa.20130202.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmsa.20130202.15},
  abstract = {A mathematical approach is taken to investigate Love wave propagation in non-homogeneous electro-magneto-elastic media. The elastic media is assumed to be initially unstressed and at rest. In this study, it is assumed that mass density , elastic coefficients , dielectric coefficients   magnetic permeability coefficients , piezoe-lectric coefficients   piezomagnetic coefficients and magneto-electric coefficients   of the specimen are space dependent. The analytical solution for dispersion of love waves is obtained for electromagnetically short and open case. It has been shown that non-homogeneity factor reduces the penetration depth of Love waves. The numerically results are shown graphically.},
 year = {2013}
}

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TY  - JOUR
T1  - Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media
AU  - Shikha Kakar
AU  - Rajneesh Kakar
Y1  - 2013/03/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ijmsa.20130202.15
DO  - 10.11648/j.ijmsa.20130202.15
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  - 61
EP  - 67
PB  - Science Publishing Group
SN  - 2327-2643
UR  - https://doi.org/10.11648/j.ijmsa.20130202.15
AB  - A mathematical approach is taken to investigate Love wave propagation in non-homogeneous electro-magneto-elastic media. The elastic media is assumed to be initially unstressed and at rest. In this study, it is assumed that mass density , elastic coefficients , dielectric coefficients   magnetic permeability coefficients , piezoe-lectric coefficients   piezomagnetic coefficients and magneto-electric coefficients   of the specimen are space dependent. The analytical solution for dispersion of love waves is obtained for electromagnetically short and open case. It has been shown that non-homogeneity factor reduces the penetration depth of Love waves. The numerically results are shown graphically.
VL  - 2
IS  - 2
ER  -

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Author Information

Shikha Kakar

Assistant Professor, SBBSIET, Jalandhar, Punjab-144001, India
Rajneesh Kakar

Principal, DIPS Polytechnic College, Hoshiarpur-146001, India

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APA Style

Shikha Kakar, Rajneesh Kakar. (2013). Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media. International Journal of Materials Science and Applications, 2(2), 61-67. https://doi.org/10.11648/j.ijmsa.20130202.15

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ACS Style

Shikha Kakar; Rajneesh Kakar. Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media. Int. J. Mater. Sci. Appl. 2013, 2(2), 61-67. doi: 10.11648/j.ijmsa.20130202.15

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AMA Style

Shikha Kakar, Rajneesh Kakar. Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media. Int J Mater Sci Appl. 2013;2(2):61-67. doi: 10.11648/j.ijmsa.20130202.15

Copy | Download

@article{10.11648/j.ijmsa.20130202.15,
  author = {Shikha Kakar and Rajneesh Kakar},
  title = {Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media},
  journal = {International Journal of Materials Science and Applications},
  volume = {2},
  number = {2},
  pages = {61-67},
  doi = {10.11648/j.ijmsa.20130202.15},
  url = {https://doi.org/10.11648/j.ijmsa.20130202.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmsa.20130202.15},
  abstract = {A mathematical approach is taken to investigate Love wave propagation in non-homogeneous electro-magneto-elastic media. The elastic media is assumed to be initially unstressed and at rest. In this study, it is assumed that mass density , elastic coefficients , dielectric coefficients   magnetic permeability coefficients , piezoe-lectric coefficients   piezomagnetic coefficients and magneto-electric coefficients   of the specimen are space dependent. The analytical solution for dispersion of love waves is obtained for electromagnetically short and open case. It has been shown that non-homogeneity factor reduces the penetration depth of Love waves. The numerically results are shown graphically.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media
AU  - Shikha Kakar
AU  - Rajneesh Kakar
Y1  - 2013/03/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ijmsa.20130202.15
DO  - 10.11648/j.ijmsa.20130202.15
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  - 61
EP  - 67
PB  - Science Publishing Group
SN  - 2327-2643
UR  - https://doi.org/10.11648/j.ijmsa.20130202.15
AB  - A mathematical approach is taken to investigate Love wave propagation in non-homogeneous electro-magneto-elastic media. The elastic media is assumed to be initially unstressed and at rest. In this study, it is assumed that mass density , elastic coefficients , dielectric coefficients   magnetic permeability coefficients , piezoe-lectric coefficients   piezomagnetic coefficients and magneto-electric coefficients   of the specimen are space dependent. The analytical solution for dispersion of love waves is obtained for electromagnetically short and open case. It has been shown that non-homogeneity factor reduces the penetration depth of Love waves. The numerically results are shown graphically.
VL  - 2
IS  - 2
ER  -

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