Heat Transfer in Multi-Phase Materials (Eds. A. Öchsner, G. Murch), pp. 3-32, Springer-Verlag, 2011
H.J. Böhm, H.E. Pettermann, S. Noghales1
1Institute of Lightweight Design and Structural
TU Wien, Vienna, Austria
General features of homogenization and localization in studying the conduction
behavior of inhomogeneous materials are introduced and two groups of methods
for solving such problems are presented.
First, mean field and bounding approaches are discussed and comparisons between
the predictions of relevant methods are given.
Next, modeling approaches to studying discrete microstructures are covered, the
main emphasis being put on periodic homogenization and windowing procedures.
Finally, an application of the methods to diamond particle reinforced aluminum
is presented, in which interfacial effects play an important role.