Wed, 21 May 2008
12:00 - 13:00
DH 3rd floor SR
William Parnell
Manchester University
The effective properties of composite media are defined by the constituent phase properties (elastic moduli, thermal conductivities,etc), their volume fractions, and their distribution throughout the medium. In the case of constituents distributed periodically, there exist many homogenization theories which can provide exact solutions for the effective properties. However, the case of the effective properties of random media remains largely an open problem.

In this talk we will begin by discussing the notion of homogenization as an extension to the continuum assumption and regimes in which it breaks down. We then discuss various approaches to dealing with randomness whilst determining the effective properties of acoustic, thermal and elastic media.  In particular we show how the effective properties depend on the randomness of the microstructure

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