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IssuesArchive of Issues2024-4pp.2141-2160

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Ravinder Kumar, Priyadarshan, and Pawan Kumar, "Analyzing Wave Propagation Characteristics at the Interface of Non-Local Micropolar Elastic and Linear Viscoelastic Solid," Mech. Solids. 59 (4), 2141-2160 (2024)
Year 2024 Volume 59 Number 4 Pages 2141-2160
DOI 10.1134/S002565442460404X
Title Analyzing Wave Propagation Characteristics at the Interface of Non-Local Micropolar Elastic and Linear Viscoelastic Solid
Author(s) Ravinder Kumar (Department of Mathematics, Chandigarh University Mohali (Punjab), 140413 India, ravinderpoonia25@gmail.com)
Priyadarshan (Department of Mathematics, Chandigarh University Mohali (Punjab), 140413 India, pdbeniwal40@gmail.com)
Pawan Kumar (Department of Mathematics, CBL Government College for Woman, Tosham (Haryana), 127040 India, pawan7585@gmail.com)
Abstract This research investigates the behavior of amplitude ratios (AR) of different waves at the interfaces between non-local micropolar elastic solid (NLMES) and linear viscoelastic solid (LVES) half-spaces. The study analyzes both longitudinal and coupled waves obliquely incident on these interfaces. Using various governing equations and boundary conditions for perfect and imperfect interfaces, and by applying specific values for various constants and parameters, numerical results has been obtained for both interfaces. These results indicate that the amplitude ratios of reflected and refracted waves are significantly affected by the material properties of the NLMES and LVES half-spaces and vary with the angle of incidence. The numerical results were plotted graphically using MATLAB, demonstrating variations in amplitude ratios for incidence angles from 0º to 90º. Additionally, three special cases i.e. normal force stiffness, transverse force stiffness, and welded contact were analyzed, each case has been showing specific amplitude ratio patterns and highlighting the importance of stiffness parameters at the interface. These results have concluded the significance of emergent waves in different scenarios.
Keywords seismic wave propagation, reflection, refraction, amplitude ratios, micropolar and visco-elastic solid
Received 30 May 2024Revised 05 July 2024Accepted 06 July 2024
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