Journal of Xidian University

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Stochastic homogenized thermal properties of composites with an uncertain microstructure

YOU Fang1,2;CHEN Jianjun1;MA Juan1;CAO Hongjun1   

  1. (1. School of Mechano-electronic Engineering, Xidian Univ., Xi'an  710071, China;
    2. College of Mechanical & Electronic Engineering, Northwest A & F Univ., Yangling  712100, China)
  • Received:2015-06-26 Online:2016-10-20 Published:2016-12-02
  • Contact: YOU Fang E-mail:youfang@nwsuaf.edu.cn

Abstract:

Random homogenization analysis of the effective thermal properties of a three-dimensional composite material with unidirectional fibers is presented by combining the equivalent inclusion method with the Random Factor Method (RFM). The randomness of the micro-structural morphology and constituent material properties as well as the correlation among these random parameters are completely accounted for, and stochastic effective thermal properties as thermal expansion coefficients as well as their correlation are then found. Results from the RFM and the Monte-Carlo Method (MCM) are compared. The impact of randomness and correlation of the micro-structural parameters on the random homogenized results is revealed by two methods simultaneously, with some important conclusions obtained.

Key words: composites, homogenization, random, correlation, effective thermal properties


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