Stochastic Multiscale Heat Transfer Analysis of Heterogeneous Materials with Multiple Random Configurations
Year: 2020
Author: Zihao Yang, Xiaofei Guan, Junzhi Cui, Hao Dong, Ye Wu, Jieqiong Zhang
Communications in Computational Physics, Vol. 27 (2020), Iss. 2 : pp. 431–459
Abstract
This study presents a new stochastic multiscale analysis approach to analyze the heat transfer performance of heterogeneous materials with random structures at different length scales. The heterogeneities of the materials are taken into account by periodic layouts of unit cells, consisting of randomly distributed inclusion dispersions and homogeneous matrix on the microscale and mesoscale. Based on the reiterated homogenization, a novel unified micro-meso-macro stochastic multiscale formulation is established and the scale gap is correlated by means of two-scale asymptotic expansions. Also, the stochastic multiscale formulae for computing the effective thermal property and temperature field are derived successively. Then, the stochastic prediction algorithm coupled with the finite element method is brought forward in details. The accuracy of the implemented stochastic multiscale analysis is verified by comparing the results against the experimental data for three scales heterogeneous materials with several different material combinations. The comparison demonstrates the usability of the proposed stochastic multiscale method for the determination of the thermal behaviors. This study offers a unified multiscale framework that enables heat transfer behavior analysis of heterogeneous materials with multiple random configurations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2018-0311
Communications in Computational Physics, Vol. 27 (2020), Iss. 2 : pp. 431–459
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Multiple random configurations heat transfer problem reiterated homogenization analysis micro-meso-macro formulations stochastic multiscale model.