On the optimality of the window method in computational homogenization

authored by: I. Temizer, T. Wu, P. Wriggers
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Bilkent University
Type: Article
Journal: International Journal of Engineering Science
Volume: 64
Pages: 66-73
No. of pages: 8
ISSN: 0020-7225
Publication date: 30.01.2013
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Materials Science, General Engineering, Mechanics of Materials, Mechanical Engineering
Electronic version(s): https://doi.org/10.1016/j.ijengsci.2012.12.007 (Access: Unknown)
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