Continuum Modeling of Diffusive Transport in Inhomogeneous Solids

  • Helmut J. BöhmEmail author
  • Heinz E. Pettermann
  • Sergio Nogales
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 2)


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.


Anchor Node Master Node Effective Conductivity Inhomogeneous Material Interfacial Conductance 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Helmut J. Böhm
    • 1
    Email author
  • Heinz E. Pettermann
    • 1
  • Sergio Nogales
    • 1
  1. 1.Institute of Lightweight Design and Structural BiomechanicsVienna University of TechnologyViennaAustria

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