Inertial Effects in Poroelasticity

Author:

Bowen R. M.1,Lockett R. R.1

Affiliation:

1. Department of Mechanical Engineering, Rice University, Houston, Texas 77001

Abstract

The dynamic behavior of a chemically inert, isothermal mixture of an isotropic elastic solid and an elastic fluid is studied. Geometrically, this mixture is assumed to comprise a layer of fixed depth, bounded below by a rigid, impervious surface, and above by a free surface to which loads are applied. The resulting boundary-initial value problem is solved by use of a Green’s function. Two different loading conditions are used to demonstrate the effect of including inertia terms in the equations of motion. In the first example of a constant compressive load, our result is found to agree with the inertia-free solution only for a certain long-time approximation. The second example shows that for a harmonically varying compression, resonance displacements occur at certain loading frequencies, whereas the solution obtained by neglecting inertia does not predict this behavior.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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