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Wave propagation in liquid-saturated porous solid with micropolar elastic skelton at boundary surface

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Abstract

The present study is concerned with the reflection and transmission of plane waves at an interface between homogenous invisicid liquid half space and a micropolar liquid-saturated porous solid half space. The reflection and transmission coefficients of various reflected and transmitted waves with the angle of incident have been obtained. Numerical calculation has been performed for amplitude ratios of various reflected and transmitted waves. Micropolarity and porosity effects on the reflection and transmission coefficients have been depicted graphically. Some particular cases have been deduced from the present formulation.

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Abbreviations

λ, μ, K, α, β, γ :

material constants for solid-liquid aggregate

ρ :

the density of the medium

b :

a dissipation function

j :

the micro inertia

ρ 11, ρ 12, ρ 22 :

dynamical coefficients

u :

the displacement vector in the solid part with components u 1, u 2, u 3

U :

the displacement vector in the liquid part with components U 1, U 2, U 3

e = divu, ε = divU :

corresponding dilatations

ϕ :

the microrotational vector

Q :

measure of coupling between volume change of solid and that of the liquid

R :

measure of pressure that must be exerted on the fluid to force a given volume of it into the aggregate while total volume remains constant

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, 136119, Haryana, India

    Rajneesh Kumar (Professor, Doctor) & Mahabir Barak

Authors
  1. Rajneesh Kumar
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  2. Mahabir Barak
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Corresponding author

Correspondence to Rajneesh Kumar.

Additional information

Communicated by DAI Tian-min, Original Member of Editorial Committee, AMM

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Kumar, R., Barak, M. Wave propagation in liquid-saturated porous solid with micropolar elastic skelton at boundary surface. Appl Math Mech 28, 337–349 (2007). https://doi.org/10.1007/s10483-007-0307-z

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  • DOI: https://doi.org/10.1007/s10483-007-0307-z

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2000 Mathematics Subject Classification

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