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Initial stress and heterogeneity effects on torsional waves in dry sand half-space between reinforced half-space and poroelastic medium

Latha Madhuri Poonem (Mathematics, Kakatiya University, Warangal, India)
Rajitha Gurijala (Mathematics, Kakatiya University, Warangal, India)
Sindhuja Ala (Mathematics, Kakatiya University, Warangal, India)
Malla Reddy Perati (Mathematics, Kakatiya University, Warangal, India)

Engineering Computations

ISSN: 0264-4401

Article publication date: 30 November 2021

Issue publication date: 3 May 2022

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Abstract

Purpose

The purpose of this paper is to investigate the effect of initial stress and heterogeneity on the propagation of torsional waves in dissipative medium. The problem consists of dry sand poroelastic half-space embedded between heterogeneous self-reinforced half-space and poroelastic medium. The frequency equation is derived in the framework of Biot's theory with some variants.

Design/methodology/approach

Torsional wave propagation in dry sand poroelastic half-space embedded between self-reinforced half-space and poroelastic medium. All the constituents here are assumed to be dissipative, heterogeneous and initial stressed.

Findings

Phase velocity and attenuation are computed against wavenumber for various values of self-reinforcement parameter, inhomogeneity parameter and initial stress. Particular cases are discussed in absence of dissipation. The numerical results are presented graphically.

Originality/value

Initial stress and heterogeneity effects on torsional waves in dry sand half-space between reinforced half-space and poroelastic medium are investigated. The frequency equation is derived, and which intern gives the phase velocity and attenuation coefficient for various values of initial stress, self-reinforcement parameter and heterogeneity parameter. From the numerical results, it is clear that as wavenumber varies phase velocity and attenuation are periodic in nature for all the cases. Particular cases are discussed in absence of dissipation. This kind of analysis can be extended to any elastic solid by taking magnetic, thermo and piezoelectric effects into account.

Keywords

Citation

Poonem, L.M., Gurijala, R., Ala, S. and Perati, M.R. (2022), "Initial stress and heterogeneity effects on torsional waves in dry sand half-space between reinforced half-space and poroelastic medium", Engineering Computations, Vol. 39 No. 5, pp. 1752-1767. https://doi.org/10.1108/EC-04-2021-0212

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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