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Journal of Porous Media
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ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v21.i6.20
pages 499-522

TORSIONAL SURFACE WAVE PROPAGATION IN AN IMPERFECTLY BONDED CORRUGATED INITIALLY-STRESSED POROELASTIC SANDWICHED LAYER

Abhishek Kumar Singh
Department of Mathematics, Vellore Institute of Technology, Chennai-600127, India
Anirban Lakshman
Department of Mathematical Sciences, IIT(BHU), Varanasi-221005, Uttar Pradesh, India
Kshitish Ch. Mistri
Department of Applied Mathematics, IIT(ISM), Dhanbad-826004, Jharkhand, India
Mukesh Kumar Pal
Department of Applied Mathematics, IIT(ISM), Dhanbad-826004, Jharkhand, India

SINOPSIS

The aim of the present study is to investigate the propagation of torsional surface waves in an initially stressed poroelastic layer with corrugated as well as loosely bonded boundary surfaces, sandwiched between an upper initially stressed gravitating dry sandy Gibson half-space and a lower initially stressed viscoelastic half-space. The problem is solved analytically with a view to obtain a solution whose real part provides the dispersion equation and imaginary part gives the damped equation in their closed forms. As a special case of the problem, it is found that deduced dispersion relation is found in good agreement with the classical Love wave equation and the damping equation vanishes identically. The effect of imperfectly bonded interfaces, sandiness, heterogeneity, gravity, internal friction due to viscoelasticity, initial stresses, porosity and corrugation on the phase velocity, and damped velocity of torsional surface wave has been studied numerically and demonstrated graphically. The comparative study has been made to discuss the cases of welded contact, smooth contact, loose bonding, and planar boundaries of the sandwiched layer. Moreover, the study of the effect of presence and absence of sandiness, porosity, viscoelasticity, and initial stresses on the propagation of torsional surface waves are also highlighted in the study.


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