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    On the optimality of the window method in computational homogenization

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    Date Issued
    2013
    Author
    Temizer I.
    Wu, T.
    Wriggers P.
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    Please cite this item using this persistent URL
    http://hdl.handle.net/11693/21078
    Journal
    International Journal of Engineering Science
    Published as
    http://dx.doi.org/10.1016/j.ijengsci.2012.12.007
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    • Research Paper [7145]
    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.

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    BİLKENT UNIVERSITY

    Copyright © Bilkent University - Library Technical Services | 06800 Bilkent, Ankara TURKEY
    If you have trouble accessing this page and need to request an alternate format, contact the webmaster. Phone: (312) 290 1771

    Contact Us | Send Feedback | Off-Campus Access