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IssuesArchive of Issues2025-8pp.6841-6859

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Suraj Sharma and Ravinder Kumar, "Impact of Heterogeneity and Rectangular Irregularity on the Propagation of Love Waves in a Thermoelastic Layer," Mech. Solids. 60 (8), 6841-6859 (2025)
Year 2025 Volume 60 Number 8 Pages 6841-6859
DOI 10.1134/S0025654425604471
Title Impact of Heterogeneity and Rectangular Irregularity on the Propagation of Love Waves in a Thermoelastic Layer
Author(s) Suraj Sharma (Department of Mathematics, University Institute of Sciences, Chandigarh University, Mohali, Punjab, 140413 India, bhardwajsuraj070@gmail.com)
Ravinder Kumar (Department of Mathematics, University Institute of Sciences, Chandigarh University, Mohali, Punjab, 140413 India, ravinderpoonia25@gmail.com)
Abstract This study investigates the propagation of Love waves in a layered system composed of a homogeneous thermoelastic layer with an upper rigid surface, resting over a non-homogeneous elastic half-space. A rectangular-shaped irregularity is introduced at the interface between the thermoelastic layer and non-homogeneous half space to simulate geometric discontinuity. The governing equations of motion are formulated using Biot’s theory of elasticity, incorporating the effects of temperature-dependent material behaviour through generalized thermoelasticity. Fourier transformation and perturbation techniques are applied to derive the dispersion relation governing Love wave propagation. Numerical evaluation of the dispersion relation using MATLAB demonstrates that phase velocity is significantly influenced by the thermal coupling parameter, inhomogeneity factor, and irregularity dimensions. The results reveal that the thermal effects, in combination with material inhomogeneity and rectangular interface irregularities, significantly influence the phase velocity of Love waves. The present analysis provides theoretical insight into the combined influence of thermal effects and structural irregularities, with potential applications in geophysical exploration and thermoelastic material design.
Keywords Love waves, thermoelastic layer, irregularity, dispersion equation, heterogeneity
Received 19 August 2025Revised 27 October 2025Accepted 22 November 2025
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