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- Title
Prediction of effective properties for random heterogeneous materials with extrapolation.
- Authors
Wu, Yatao; Nie, Yufeng; Yang, Zihao
- Abstract
This work presents an efficient method to predict effective thermo-mechanical properties of random heterogeneous materials, with the purpose of reducing the cost of computation. The method is applied to morphologically realistic microstructures generated by a modified random morphology description functions algorithm. To achieve this purpose, firstly the convergence rates of the approximate effective material properties by homogenization with increasing cell domain size are numerically investigated, and it shows first-order accuracy of the approximate effective material properties. Secondly, Richardson extrapolation technique is introduced to obtain more accurate approximations of effective material properties by using some smaller cell domains, without the need for computations in larger cell domain. Numerical examples demonstrate that the method significantly saves computation time and computer memory while improving the accuracy of the effective material properties.
- Subjects
INHOMOGENEOUS materials; PREDICTION models; ASYMPTOTIC homogenization; STOCHASTIC convergence; RICHARDSON extrapolation
- Publication
Archive of Applied Mechanics, 2014, Vol 84, Issue 2, p247
- ISSN
0939-1533
- Publication type
Article
- DOI
10.1007/s00419-013-0797-7