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发布时间：2019-03-09

论文类型：期刊论文

发表时间：2011-01-31

发表刊物：INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

收录刊物：EI、SCIE

卷号：54

期号：4

页面范围：863-873

ISSN号：0017-9310

关键字：Non-Fourier heat conduction; Multiple scale method; High-order asymptotic homogenization; Multidimensional non-local model

摘要：A multiple spatial and temporal scales method is developed to numerically simulate the phenomenon of non-Fourier heat conduction for periodic heterogeneous materials in multi-dimensions by high-order asymptotic homogenization theory. Amplified spatial and reduced temporal scales are introduced respectively to better account for the fluctuations of the temperature field due to material heterogeneity and non-local effect of the homogenized solution. In the previous work by Zhang et al. [25], a one-dimensional case has been addressed, and the aim of the present manuscript is to extend one-dimensional solution to multidimensional case. A multidimensional high-order non-local model of non-Fourier heat conduction is derived. The relationships of homogenized heat conduction coefficients for different orders are determined and a nested finite element solution procedure is outlined for the homogenized coefficients. The validity and effectiveness of the model is demonstrated by illustrating the two-dimensional numerical examples. (C) 2010 Elsevier Ltd. All rights reserved.