The effective static and dynamic properties of composite media

21 May 2008
William Parnell
<em>The effective properties of compos<st1:personname w:st="on">it</st1:personname>e media are defined by the const<st1:personname w:st="on">it</st1:personname>uent phase properties (elastic moduli, thermal conductiv<st1:personname w:st="on">it</st1:personname>ies,etc), their volume fractions, and their distribution throughout the medium. In the case of const<st1:personname w:st="on">it</st1:personname>uents 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.<o:p></o:p></em> <span style="font-family: Times New Roman"><span style="font-size: 12pt; font-style: italic"><o:p></o:p></span></span><p class="MsoNormal"><span style="font-family: Times New Roman"><span style="font-size: 12pt; font-style: italic">In this talk we will begin by discussing the notion of homogenization as an extension to the continuum assumption and regimes in which <st1:personname w:st="on">it</st1:personname> breaks down. We then discuss various approaches to dealing w<st1:personname w:st="on">it</st1:personname>h 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</span></span></p>
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