Love-Type Waves in a Rotating Fibre Reinforced Functionally Graded Medium with Magnetic Field, Gravity, and Surface Stress Interactions

Main Article Content

Dr. Sakti Pada Barik
Madhumita Kundu
Biswajit Saha

Abstract

This study investigates the propagation of Love waves in a rotating, fibre-reinforced functionally graded medium (FGM) subjected to the combined effects of a uniform magnetic field, gravity, and surface stress. The magnetic field is oriented to facilitate a two-dimensional analysis of the problem. An analytical expression for the Love wave velocity is derived. The validity of the solution is established by showing that the derived dispersion relation reduces to classical results in the absence of gravity, surface stress, rotation, and fibre reinforcement. Finally, the influence of these governing parameters on the phase velocity is analyzed and illustrated through graphical representations.

Downloads

Download data is not yet available.

Article Details

Section

Articles

How to Cite

Love-Type Waves in a Rotating Fibre Reinforced Functionally Graded Medium with Magnetic Field, Gravity, and Surface Stress Interactions (Dr. Sakti Pada Barik, Madhumita Kundu, & Biswajit Saha , Trans.). (2026). International Journal of Emerging Science and Engineering (IJESE), 14(4), 43-49. https://doi.org/10.35940/ijese.D4754.14040326
Share |

References

Belifeld, A.J., Gers, T.G., Spencer, A.J., Stress in elastic plates reinforced by fibres lying in concentric circles, J. Mech. Phys. Solids, 31 (1983), 25-54. DOI: https://doi.org/10.1016/0022-5096(83)90021-0, works remain significant, see the declaration

Koviani, M., Concept of Functionally Graded Materials, Ceramic Transactions, 34(3) (1993), 1-10.

URL: https://ceramics.onlinelibrary.wiley.com/, works remain significant, see the declaration

Yamanouchi, M., Koizumi, M., Shiota, I. (eds.), Proceedings of the 1st International Symposium on Functionally Gradient Materials, Kyoto: Functionally Gradient Materials Forum (1990). URL: https://www.jstage.jst.go.jp/, works remain significant, see the declaration

Jassim, H.K., Analytical approximate solution for inhomogeneous wave equation on Cantor sets by local fractional variational iteration method, Int. J. Adv. Appl. Math. Mech., 3(1) (2015), 57-61. URL: http://www.ijaamm.com/, works remain significant, see the declaration

Abo-Dahab, S., et al., Surface waves propagation in fibre-reinforced anisotropic elastic media subjected to gravity field, Int. J. Phys. Sci., 8 (2013), 574-584. DOI: https://doi.org/10.5897/IJPS2013. 3887, works remain significant, see the declaration

Das, A., Singh, A., Patel, P., Mistri, K., Chattopadhyay, A., Reflection and refraction of plane waves at the loosely bonded interface of piezoelectric fibre-reinforced media, Ultrasonics, 94 (2019), 131-144. DOI:https://doi.org/10.1016/j.ultras.2019.01.009

Ranjan, C., Samal, S.K., Love waves in fibre-reinforced layer over a gravitating porous halfspace, Acta Geophys., 61(5) (2013), 1170-1183.DOI: https://doi.org/10.2478/s11600-013-0143-5, works remain significant, see the declaration

Khan, A., Abou-Dahab, S.M., Abd-Alla, A.M., Gravitational effect on surface waves in fibre-reinforced thermo-viscoelastic media, Int. J. Phys. Sci., 10(24) (2015), 604-613. DOI: https://doi.org/10.5897/IJPS2015.4321, works remain significant, see the declaration

Maity, N., Barik, S.P., Chaudhuri, P.K., Propagation of plane waves in a rotating magneto thermoelastic fibre-reinforced medium, IOSR J. Eng., 8 (2018), 25-35. URL: https://www.iosrjournals.org/

Maity, N., Barik, S.P., Chaudhuri, P.K., Wave propagation in a rotating fibre-reinforced poroelastic solid under a magnetic field, Int. J. Comp. Sci., 4 (2016), 901-917. URL: https://www.ijcsonline.org/

Manna, S., Kundu, S., Gupta, S., Love wave propagation in a piezoelectric layer overlying an inhomogeneous elastic half-space, J. Vib. Control, 21(13) (2015), 2553-2568. DOI: https://doi.org/10.1177/1077546313501924, works remain significant, see the declaration

Sahu, S.A., Saroj, P.K., Paswan, B., Shear waves in a heterogeneous fibre-reinforced layer over a half-space under gravity, Int. J. Geomech., 15(2) (2014), 04014048. DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0000350, works remain significant, see the declaration

Ke, L.L., Wang, Y.S., Zhang, Z.M., Love waves in an inhomogeneous fluid saturated porous layered half-space, Soil Dyn. Earthquake. Eng., 26 (2006), 574-581. DOI: https://doi.org/10.1016/j.soildyn.2005.12.002, works remain significant, see the declaration

Markham, M.F., Measurement of elastic constants of fibre composites by ultrasonics, Composites, 1 (1969), 145-149. DOI: https://doi.org/10.1016/0010-4361(69)90047-2, works remain significant, see the declaration

Zorammuana, C., Singh, S.S., SH-wave at a plane interface between homogeneous and inhomogeneous fibre-reinforced half spaces, Indian J. Mater. Sci. (2015), 1-8. DOI: https://doi.org/10.1155/2015/xxxxxx, works remain significant, see the declaration

Acharya, D.P., Roy, I., Magnetoelastic surface waves in electrically conducting fibre-reinforced media, Bull. Inst. Math. Acad. Sinica, 4 (2009), 333-352. URL: https://www.math.sinica.edu.tw/, works remain significant, see the declaration

Islam, Md., Haymann, G., Use of Rayleigh and Love waves in seismic surface wave testing, J. S. Afr. Inst. Civ. Eng., 67(1) (2025), 2-12. DOI: https://doi.org/10.17159/2309-8775/2025/v67n1a1, works remain significant, see the declaration

Gurtin, M. E. and Murdoch, A. I. A Continuum Theory of Elastic Material Surfaces, Archive for Rational Mechanics and Analysis,57(4) (1975), 291-323. DOI: https://doi.org/10.1007/BF00261375, works remain significant, see the declaration

Most read articles by the same author(s)

<< < 3 4 5 6 7 8 9 10 11 12 > >>