期刊
COMPUTATIONAL MATERIALS SCIENCE
卷 83, 期 -, 页码 488-495出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2013.09.006
关键词
Numerical homogenization; Microstructure; MicroFE; Matlab
资金
- Danish Research Agency through the innovation consortium F . MAT
Numerical homogenization is an efficient way to determine effective macroscopic properties, such as the elasticity tensor, of a periodic composite material. In this paper an educational description of the method is provided based on a short, self-contained Matlab implementation. It is shown how the basic code, which computes the effective elasticity tensor of a two material composite, where one material could be void, is easily extended to include more materials. Furthermore, extensions to homogenization of conductivity, thermal expansion, and fluid permeability are described in detail. The unit cell of the periodic material can take the shape of a square, rectangle, or parallelogram, allowing for all kinds of 2D periodicities. (C) 2013 Elsevier B. V. All rights reserved.
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