On the optimality of the window method in computational homogenization
Author
Temizer, I.
Wu, T.
Wriggers, P.
Date
2013Source Title
International Journal of Engineering Science
Print ISSN
0020-7225
Volume
64
Pages
66 - 73
Language
English
Type
ArticleItem Usage Stats
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Abstract
The window method, where the microstructural sample is embedded into a frame of a homogeneous material, offers an alternative to classical boundary conditions in computational homogenization. Experience with the window method, which is essentially the self-consistent scheme but with a finite surrounding medium instead of an infinite one, indicates that it delivers faster convergence of the macroscopic response with respect to boundary conditions of pure essential or natural type as the microstructural sample size is increased to ensure statistical representativeness. In this work, the variational background for this observed optimal convergence behavior of the homogenization results with the window method is provided and the method is compared with periodic boundary conditions that it closely resembles. © 2013 Elsevier Ltd. All rights reserved.
Keywords
Computational homogenizationSelf-consistent scheme
Thermal conduction
Computational homogenization
Faster convergence
Homogeneous materials
Macroscopic response
Micro-structural
Optimal convergence
Optimality
Periodic boundary conditions
Sample sizes
Self-consistent scheme
Thermal conduction
Window methods
Boundary conditions
Optimization
Homogenization method
Permalink
http://hdl.handle.net/11693/21078Published Version (Please cite this version)
http://dx.doi.org/10.1016/j.ijengsci.2012.12.007Collections
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