Published: 30 June 2012

Propagation of weak waves in the inhomogeneous elastoviscoplastic medium with a cell structure

A. Bubulis1
A. V. Chigarev2
V. S. Polenov3
V. T. Minchenya4
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Abstract

Non-stationary acceleration waves in the fluid-saturated inhomogeneous elastoviscoplastic porous medium are studied using the mathematical theory of discontinuities. The equations for determining the intensity and the geometry of wave fronts of the fluidsaturated elastoviscoplastic medium were first derived. It is shown that in the medium under consideration there are two types of irrotational waves and one equivoluminal wave, that are equal to the velocities in the homogeneous elastic porous media at every point.

About this article

Received
05 April 2012
Accepted
14 May 2012
Published
30 June 2012
Keywords
biological tissues
elastoviscoplastic medium
wave velocities
equivoluminal waves
irrotational waves
porous medium