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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-1pp.193-204

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Venugopal M., Rajitha G., and Malla Reddy P., "G-Type Wave Propagation in an Initially Stressed Fluid Saturated Viscoporoelastic Layer Lying over Heterogeneous Poroelastic Half Space," Mech. Solids. 57 (1), 193-204 (2022)
Year 2022 Volume 57 Number 1 Pages 193-204
DOI 10.3103/S0025654422010150
Title G-Type Wave Propagation in an Initially Stressed Fluid Saturated Viscoporoelastic Layer Lying over Heterogeneous Poroelastic Half Space
Author(s) Venugopal M. (Department of Mathematics, Kakatiya Government College, Warangal, T.S., India)
Rajitha G. (Department of Mathematics, Kakatiya University, Warangal, T.S., India, rajitha.akshu@gmail.com)
Malla Reddy P. (Department of Mathematics, Kakatiya University, Warangal, T.S., India)
Abstract G-type waves in an initially stressed poroelastic semi-infinite solid consists of a layer lying on a half space are investigated in the framework of Biot’s theory of isotropic poroelasticity with some variants. Dispersion equation is obtained on solving the resultant Hill’s differential equation with the aid of Laplace transform by the Valeev’s method. Numerical examples for phase velocity, group velocity, angular frequency, and attenuation are presented graphically as a function of wavenumber for various values of viscosity, initial stress, and heterogeneity parameter. Some particular cases are discussed.
Keywords G-type wave, viscoporoelastic layer, poroelastic half space, phase velocity, group velocity, angular frequency, attenuation, wavenumber
Received 06 September 2020Revised 01 March 2021Accepted 11 March 2021
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