Browsing by Author "Lockett, Robert R."
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Item Inertia effects in consolidation problems(1981) Lockett, Robert R.; Bowen, Ray M.; Wang, C. C.; Wilhoit, James C.The dynamic behavior of a chemically inert, isothermal mixture of an isotropic elastic solid with 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 very long times. 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.