Details
| Original language | English |
|---|---|
| Pages (from-to) | 66-73 |
| Number of pages | 8 |
| Journal | International Journal of Engineering Science |
| Volume | 64 |
| Publication status | Published - 30 Jan 2013 |
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.
Keywords
- Computational homogenization, Self-consistent scheme, Thermal conduction
ASJC Scopus subject areas
- Materials Science(all)
- Engineering(all)
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: International Journal of Engineering Science, Vol. 64, 30.01.2013, p. 66-73.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the optimality of the window method in computational homogenization
AU - Temizer, I.
AU - Wu, T.
AU - Wriggers, P.
PY - 2013/1/30
Y1 - 2013/1/30
N2 - 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.
AB - 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.
KW - Computational homogenization
KW - Self-consistent scheme
KW - Thermal conduction
UR - http://www.scopus.com/inward/record.url?scp=84873309179&partnerID=8YFLogxK
U2 - 10.1016/j.ijengsci.2012.12.007
DO - 10.1016/j.ijengsci.2012.12.007
M3 - Article
AN - SCOPUS:84873309179
VL - 64
SP - 66
EP - 73
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
SN - 0020-7225
ER -