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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-8pp.6823-6840

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Abhilasha, Abhinav Singhal, Abdulkafi Mohammed Saeed, and Anjali Chaudhary, "Continuum Mechanical Study of Love-Wave Propagation in Fibre-Reinforced Plate Over an Orthotropic Substrate with Interfacial Imperfection," Mech. Solids. 60 (8), 6823-6840 (2025)
Year 2025 Volume 60 Number 8 Pages 6823-6840
DOI 10.1134/S0025654425604161
Title Continuum Mechanical Study of Love-Wave Propagation in Fibre-Reinforced Plate Over an Orthotropic Substrate with Interfacial Imperfection
Author(s) Abhilasha (Christ University, Bengaluru, 560029 India, abhilashafrancis4282@gmail.com)
Abhinav Singhal (Christ University, Bengaluru, 560029 India, ism.abhinav@gmail.com)
Abdulkafi Mohammed Saeed (Department of Mathematics, College of Science, Qassim University, Buraydah, 51452 Kingdom of Saudi Arabia)
Anjali Chaudhary (Department of Management, College of Business Administration, Princess Nourah Bint Abdulrahman University, Riyadh, 11671 Kingdom of Saudi Arabia)
Abstract This paper aims to analyse the propagation of Love-type waves in a fibre-reinforced composite (FRC) over a pre-stressed orthotropic substrate. The upper fibre-reinforced layer is imperfectly bonded to the lower orthotropic half-space. The structure considered has a mechanical imperfection (MI). The purpose is to investigate the integrated effect of fibre reinforcement, initial stress, and flawed interface on the dispersion and attenuation of Love-type waves. The dispersion relation is derived analytically using the boundary condition. The phase velocity of the Love-type wave has been discussed in its typical cases: (i) in the infusion of reinforcement and absence of initial stress, (ii) in the presence of reinforcement subjected to initial stress, considering scenarios with and without the flawed coupling. The numerical computation of the analytical finding was performed and plotted using MATLAB, showing the impact of the parameters considered. It is observed that the interfacial imperfection positively influences the phase velocity of the Love-type wave in the model considered. The increase in the reinforcement parameter a1 and the decrease in a3 lead to attenuation in phase velocity. In engineering, fibres are considered to be oriented in two or more directions, and the study assumes only bidirectional fibres. The results highlight the combined influence of mechanical anisotropy, prestress, and interface quality on guided wave characteristics, offering valuable insights for the design and optimisation of layered composites, acoustic sensors, and structural health monitoring systems.
Keywords Q-response, Fibre reinforced material, Multidirectional Material, flawed coupling, Dispersion relation, Characteristic impedance, Stress analysis
Received 01 August 2025Revised 11 November 2025Accepted 12 November 2025
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