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IssuesArchive of Issues2025-3pp.2135-2149

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Seema, Abhinav Singhal, and Umang Bareja, "Dispersion Analysis of Love-Type Waves in a Multilayered Piezomagnetic-Heterogeneous Structure with a Viscous Liquid Layer," Mech. Solids. 60 (3), 2135-2149 (2025)
Year 2025 Volume 60 Number 3 Pages 2135-2149
DOI 10.1134/S0025654424607158
Title Dispersion Analysis of Love-Type Waves in a Multilayered Piezomagnetic-Heterogeneous Structure with a Viscous Liquid Layer
Author(s) Seema (Christ University, Bengaluru, 560029 India, mathsresearch.seema@gmail.com)
Abhinav Singhal (Christ University, Bengaluru, 560029 India)
Umang Bareja (Department of Mathematics, Mukand Lal National College, Yamunanagar, Haryana, 135001 India)
Abstract Purpose. This paper examines Love-type wave transmission in a multilayered piezomagnetic (PM) and heterogeneous half-space (HHS) structure with a viscoelastic layer (VL) on top. Wave transmission behaviour is examined in magnetically open (MO) and magnetically closed (MS) circuit boundary conditions. The main study focuses on the dispersion behaviour of phase velocity of a Love-type wave influenced by the combination of VL, PM and HHS.

Methods. The dispersion relation for Love-type waves was determined analytically, and phase velocity graphs were plotted and analysed using numerical simulations with Mathematica software. A comprehensive study was conducted to acquire the effects of significant variables on phase velocity, including material heterogeneity, piezomagnetic coupling, and viscoelastic layer thickness.

Findings. The research results show the attenuation properties of the VL, PM, and HHS materials in MO and MS situations. Graphical comparisons show that piezomagnetic coupling caused the phase velocity curves to alter regularly, indicating its importance in wave propagation. The open and short circuit situations had nearly identical phase velocity, demonstrating that boundary limitations have little effect on how waves propagate.

Research limitations. The model is limited to linear wave transmission and ignores nonlinear effects. Furthermore, the approach is based on idealized material qualities, which account for heterogeneity.

Practical Implications. The study’s findings can help build and improve energy harvesters, sensors, and wave manipulation instruments that use PM with viscoelastic coatings. Understanding the behaviour of surface waves is required for effective use in these structures.

Novelty. This article investigates Love-type surface wave transmission in a VL-PM-HHS composite structure that includes a viscoelastic layer, piezomagnetic material, and a heterogeneous half-space. It explores how material heterogeneity, piezomagnetic coupling, and viscoelastic attenuation affect phase velocity under magnetic circumstances.
Keywords Heterogeneity, Love-type waves, Viscous liquid, Piezomagnetic materials, Semiconductors
Received 20 December 2024Revised 18 March 2025Accepted 25 April 2025
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