Colloquia, Seminars, and Conferences
Wednesday, September 17th, 2014 at 3:30 PM, NS 333
(Refreshments afterwards in room 334)
"Acoustic propagation in a saturated piezo-elastic, porous medium"
Robert P. Gilbert
University of Delaware
Abstract: We study the problem of derivation of an effective model of acoustic wave propagation in a two-phase, non-periodic medium modeling a fine mixture of linear piezo-elastic solid and a viscous Newtonian, ionic bearing fluid. Bone tissue is an important example of a composite material that can be modeled in this fashion. We develop two-scale homogenization methods for this system, and discuss also a stationary random, scale-separated microstructure. The ratio $\varepsilon$ of the macroscopic length scale and a typical size of the microstructural inhomogeneity is a small parameter of the problem. Another possibly small parameter is the Peclet number which influences the type of effective equations which are obtained.
The following research seminars meet weekly in the Natural Sciences Building. Everyone is welcome to attend. For more information, please contact corresponding coordinators.
Louisville, Department of Mathematics. Copyright 2006. All rights
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