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IssuesArchive of Issues2025-6pp.4921-4936

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Seema and Abhinav Singhal, "Mathematical Modelling of Love-Type Wave Transmission in Magnetostrictive Smart Materials with Imperfect Interface," Mech. Solids. 60 (6), 4921-4936 (2025)
Year 2025 Volume 60 Number 6 Pages 4921-4936
DOI 10.1134/S0025654425600448
Title Mathematical Modelling of Love-Type Wave Transmission in Magnetostrictive Smart Materials with Imperfect Interface
Author(s) Seema (Christ University, Bengaluru, 560029 India, mathsresearch.seema@gmail.com)
Abhinav Singhal (Christ University, Bengaluru, 560029 India)
Abstract The purpose of this study is to investigate the propagation of Love-type surface acoustic waves through two magnetostrictive materials, NiFe2O4 (Nickel Ferrite) and Terfenol-D, embedded in a plate-substrate configuration with an imperfect interface. The study aims to investigate the effect of plate thickness, imperfect parameter, and heterogeneity parameter on both the materials under magnetically open and short scenarios.

Methodology: To accomplish this, the study uses a variable-separable approach with the Direct Sturm-Liouville technique along with suitable boundary conditions, to construct frequency relations for both magnetically open and short-circuit conditions. Numerical simulations are carried out to explore the impacts of plate thickness, imperfect parameter, and heterogeneity parameter on Terfenol-D and NiFe2O4 materials under magnetically open and short circumstances. These results have been discussed through graphs that are plotted with the help of Mathematica software.

Findings: The results of the study show that the phase velocity increases greater in Terfenol-D than in NiFe2O4, regardless of whether the case is magnetically open or closed. Graphical comparisons clearly demonstrate the impact of width plates, faulty parameters, and heterogeneity parameters on wave propagation characteristics.

Research Limitations: The study is limited to linear wave propagation and excludes non-linear effects. Furthermore, the research is based on the attributes of the idealized material and the contact conditions.

Practical implications: The findings of this study can help with the design and optimization of sensors, energy harvesters, and wave manipulation devices that use piezomagnetic materials. Understanding the behaviour of surface waves in these structures is critical for their proper use.

Originality: This paper provides a complete investigation of surface wave propagation in two types of piezomagnetic composite structures, taking into account heterogeneity and interface circumstances. The comparison of several piezomagnetic models, as well as the addition of heterogeneity and contact circumstances, contribute to the research’s originality.
Keywords Wave controlling, Terfenol-D, NiFe2O4, Heterogeneity, Piezomagnetic material
Received 01 May 2025Revised 26 August 2025Accepted 29 August 2025
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