The statistical second-order two-scale analysis method for heat conduction performances of the composite structure with inconsistent random distribution

Yan Yu*, Junzhi Cui, Fei Han

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

In this paper, a statistical second-order two-scale (SSOTS) method is presented for predicting heat conduction performances of the structures of composite materials with inconsistent random distribution. Firstly, the meso-scopic configuration for the structure with inconsistent random distribution is characterized. Secondly, the SSOTS asymptotic formulation for predicting the heat conduction parameters and the temperature fields of the heat conduction problems of the structure is given by means of construction way. Then the heat conduction properties for the functional gradient materials (FGM) with varying volume fraction are predicted by the SSOTS method. The numerical results are compared with experimental data and theoretical results. Finally, macroscopic heat conduction properties for the structures with varying probability distribution models including size, location and orientation distributions of grains are calculated. The numerical results show that the SSOTS method in this paper is valid to predict heat conduction performances of composite structures with inconsistent random distribution.

Original languageEnglish (US)
Pages (from-to)151-161
Number of pages11
JournalComputational Materials Science
Volume46
Issue number1
DOIs
StatePublished - Jul 1 2009

Keywords

  • Composite structure with inconsistent random distribution
  • Functional gradient materials
  • Heat conduction properties
  • Meso-structure
  • Numerical technique
  • The SSOTS method

ASJC Scopus subject areas

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

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