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Continuum Modeling of Diffusive Transport in Inhomogeneous Solids

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Heat Transfer in Multi-Phase Materials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 2))

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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.

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Authors and Affiliations

  1. Institute of Lightweight Design and Structural Biomechanics, Vienna University of Technology, Gußhausstr. 27–29, A-1040, Vienna, Austria

    Helmut J. Böhm, Heinz E. Pettermann & Sergio Nogales

Authors
  1. Helmut J. Böhm
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  2. Heinz E. Pettermann
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  3. Sergio Nogales
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Correspondence to Helmut J. Böhm .

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Editors and Affiliations

  1. Faculty of Mechanical Engineering, Department of Applied Mechanics, Technical University of Malaysia, Johor, Malaysia

    Andreas Öchsner

  2. Dept. Mechanical Engineering, University of Newcastle, Callaghan, 2308, New South Wales, Australia

    Graeme E. Murch

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Böhm, H.J., Pettermann, H.E., Nogales, S. (2010). Continuum Modeling of Diffusive Transport in Inhomogeneous Solids. In: Öchsner, A., Murch, G. (eds) Heat Transfer in Multi-Phase Materials. Advanced Structured Materials, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/8611_2010_43

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