Heat Conduction in Two-Phase Composite Materials with Three-Dimensional Microstructures and Interfacial Thermal Resistance

  • Carlos Frederico MattEmail author
  • Manuel Ernani Cruz
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 2)


The goals envisioned for the current chapter are threefold. First, it gives a general overview of heat conduction in two-phase composite materials with three dimensional microstructures and interfacial thermal resistance. Second, it describes the application of homogenization theory to the multiscale heat conduction problem in the composite medium in order to derive the boundary-value problem defined on a representative volume element of the composite microstructure (the cell problem) and an expression for the composite effective thermal conductivity. Third, it describes a finite-element-based computational scheme to calculate the effective thermal conductivity of composite materials with general 3-D microstructures and interfacial thermal resistance. Numerical results for the effective conductivity are presented and, when possible, compared with available analytical predictions. The numerical results reported here confirm that computational approaches are a helpful tool for understanding the complex macroscopic thermal behavior of composite materials.


Representative Volume Element Effective Thermal Conductivity Biot Number Effective Conductivity Interfacial Thermal Resistance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



M.E. Cruz would like to thank the Brazilian Council for Development of Science and Technology (CNPq) for Grants PQ-306592/2006-1 and APQ-471801/2004-6. The authors also thank Dr. Joachim Schöberl, from Johannes Kepler Universität Linz, Austria, for the free academic license of NETGEN 4.4.


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© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Electric Power Research CenterRio de JaneiroBrazil
  2. 2.Federal University of Rio de Janeiro, Politécnica/COPPE/UFRJRio de JaneiroBrazil

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