Inertial Effects in Poroelasticity

[+] Author and Article Information
R. M. Bowen, R. R. Lockett

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

J. Appl. Mech 50(2), 334-342 (Jun 01, 1983) (9 pages) doi:10.1115/1.3167041 History: Received May 01, 1982; Revised January 01, 1983; Online July 21, 2009


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.

Copyright © 1983 by ASME
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