Three-dimensional reconstruction and homogenization of heterogeneous materials using statistical correlation functions and FEM

M. Baniassadi, B. Mortazavi, H. Amani Hamedani, H. Garmestani, Said Ahzi, M. Fathi-Torbaghan, D. Ruch, M. Khaleel

Research output: Contribution to journalArticle

31 Citations (Scopus)


In this study, a previously developed reconstruction methodology is extended to three-dimensional reconstruction of a three-phase microstructure, based on two-point correlation functions and two-point cluster functions. The reconstruction process has been implemented based on hybrid stochastic methodology for simulating the virtual microstructure. While different phases of the heterogeneous medium are represented by different cells, growth of these cells is controlled by optimizing parameters such as rotation, shrinkage, translation, distribution and growth rates of the cells. Based on the reconstructed microstructure, finite element method (FEM) was used to compute the effective elastic modulus and effective thermal conductivity. A statistical approach, based on two-point correlation functions, was also used to directly estimate the effective properties of the developed microstructures. Good agreement between the predicted results from FEM analysis and statistical methods was found confirming the efficiency of the statistical methods for prediction of thermo-mechanical properties of three-phase composites.

Original languageEnglish
Pages (from-to)372-379
Number of pages8
JournalComputational Materials Science
Issue number1
Publication statusPublished - 1 Jan 2012
Externally publishedYes



  • FEM analysis
  • Heterogeneous media
  • Three-dimensional microstructure reconstruction
  • Two-point cluster functions
  • Two-point correlation functions

ASJC Scopus subject areas

  • Materials Science(all)
  • Chemistry(all)
  • Computer Science(all)
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Mechanics of Materials

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