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Love-Type Waves in a Rotating Fibre Reinforced Functionally Graded Medium with Magnetic Field, Gravity, and Surface Stress InteractionsCROSSMARK Color horizontal
Madhumita Kundu1, Biswajit Saha2, Sakti Pada Barik3

1Madhumita Kundu, Department of Mathematics, Makhla Debiswari Vidyaniketan, Hooghly, West Bengal 712245, India.

2Biswajit Saha, Department of Physics, Gobardanga Hindu College, 24 Parganas (N), 743273, India.

3Dr. Sakti Pada Barik, Department of Mathematics, Gobardanga Hindu College, 24-Parganas (N), 743273, India.

Manuscript received on 02 February 2026 | First Revised Manuscript received on 01 March 2026 | Second Revised Manuscript received on 08 March 2026 | Manuscript Accepted on 15 March 2026 | Manuscript published on 30 March 2026 | PP: 43-49 | Volume-14 Issue-4, March 2026 | Retrieval Number: 100.1/ijese.D475415040426 | DOI: 10.35940/ijese.D4754.14040326

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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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.

Keywords: Functionally Graded Material, Love Waves, Surface Stress, Fibre-Reinforced Medium, Magnetic Field, Rotational Effect, Gravity, Wave Number. Subject Classification No.: 74J15, 86A15
Scope of the Article: Materials Engineering