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Exemplification in Exact and Approximate Secular Equation of Surface Wave Along Distinct Interfaces with Sliding Contact

Publication Type : Journal Article

Publisher : Allerton Press

Source : Mechanics of Solids

Url : https://doi.org/10.3103/s0025654421050101

Campus : Amaravati

School : School of Engineering

Department : Mathematics

Year : 2021

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.

Cite this Research Publication : Shishir Gupta, Snehamoy Pramanik, Smita, Exemplification in Exact and Approximate Secular Equation of Surface Wave Along Distinct Interfaces with Sliding Contact, Mechanics of Solids, Allerton Press, 2021, https://doi.org/10.3103/s0025654421050101

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