Heat Transfer in Multi-Phase Materials (Eds. A. Öchsner, G. Murch), pp. 3-32, Springer-Verlag, 2011

CONTINUUM MODELING OF DIFFUSIVE TRANSPORT IN INHOMOGENEOUS SOLIDS

H.J. Böhm, H.E. Pettermann, S. Noghales1

1Institute of Lightweight Design and Structural Biomechanics,
TU Wien, Vienna, Austria


Abstract - 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.

(hjb,110818)