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IssuesArchive of Issues2021-5pp.819-837

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Gupta S., Pramanik S., and Smita, "Exemplification in Exact and Approximate Secular Equation of Surface Wave Along Distinct Interfaces with Sliding Contact," Mech. Solids. 56 (5), 819-837 (2021)
Year 2021 Volume 56 Number 5 Pages 819-837
DOI 10.3103/S0025654421050101
Title Exemplification in Exact and Approximate Secular Equation of Surface Wave Along Distinct Interfaces with Sliding Contact
Author(s) Gupta S. (Department of Mathematics and Computing Indian Institute of Technology (Indian School of Mines) Dhanbad-826004, India)
Pramanik S. (Department of Mathematics and Computing Indian Institute of Technology (Indian School of Mines) Dhanbad-826004, India, snehamoy.pramanik@am.ism.ac.in)
Smita (Department of Mathematics and Computing Indian Institute of Technology (Indian School of Mines) Dhanbad-826004, India)
Abstract Acomparison between the exact and approximate secular equation of Rayleigh waves in a Kelvin Voigt viscoelastic plate supported by an orthotropic continuum under initial stress and gravity is studied analytically as well as graphically. The effective boundary condition method is applied to obtain the approximate and exact formulas for the secular equation in a described model. Based on the obtained dispersion equation, the effects of sliding contact on the Rayleigh wave propagation is considered through numerical data. The obtained secular equation is totally explicit and it is a good tool for non destructively evaluating the adhesive bond between the layer and half space as well as their mechanical properties.
Keywords Rayleigh wave, secular equation, effective boundary conditions,voigt viscoelastic, initial stress
Received 26 July 2019Revised 18 November 2019Accepted 28 November 2019
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