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SUMMARY:Characterisation and statistical mechanics of disordered foam stru
 ctures - Blumenfeld\, R (Imperial College London/Cambridge University)
DTSTART:20140225T120500Z
DTEND:20140225T123000Z
UID:TALK51071@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Joseph F. Jordan (Imperial College London)\, Rebec
 ca Hihinashvili (Imperial College London) \n\nThe pore-scale structure of 
 foams and cellular (open or closed) materials impacts significantly their 
 large-scale transport and mechanical properties. A systematic several-stag
 e method is described to derive relations between cell-scale structural ch
 aracteristics and macro-scale properties in two- and three-dimensions. \n\
 nThe first stage involves a quantitative description of the local structur
 e\, using a tensor that captures the features most relevant to a number of
  physical mechanisms. The locality of the tensorial description is achieve
 d by specialized volume elements\, called quadrons. Advantages over tradit
 ional Voronoi-based descriptions are pointed out. \n\nIn the second stage\
 , the description is used in an entropy-based statistical mechanical forma
 lism\, making possible the derivation of global structural properties as e
 xpectation values over a certain partition function. \n\nIn the third stag
 e\, we propose to use relations between structural and physical properties
  (e.g. permeability and heat transfer in solidified open cell foams) in or
 der to translate the structural expectation values into expected distribut
 ion of local constitutive properties of equivalent networks. \n\nIn the fo
 urth stage the network properties are computed on the scale of a large num
 ber of nodes\, allowing us to predict upscaled properties at this scale. F
 urther homogenisation and coarse-graining to the continuum is then possibl
 e\, using conventional methods\, such as effective-medium method. \n\nThe 
 development of this programme is ongoing and initial tests of some aspects
  of it are presented in two- and three-dimensional systems. \n
LOCATION:Seminar Room 1\, Newton Institute
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