On the optimality of the window method in computational homogenization

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dc.citation.epage73en_US
dc.citation.spage66en_US
dc.citation.volumeNumber64en_US
dc.contributor.authorTemizer, I.en_US
dc.contributor.authorWu, T.en_US
dc.contributor.authorWriggers, P.en_US
dc.date.accessioned2016-02-08T09:40:44Z
dc.date.available2016-02-08T09:40:44Z
dc.date.issued2013en_US
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractThe 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.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T09:40:44Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2013en
dc.identifier.doi10.1016/j.ijengsci.2012.12.007en_US
dc.identifier.issn0020-7225
dc.identifier.urihttp://hdl.handle.net/11693/21078
dc.language.isoEnglishen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.ijengsci.2012.12.007en_US
dc.source.titleInternational Journal of Engineering Scienceen_US
dc.subjectComputational homogenizationen_US
dc.subjectSelf-consistent schemeen_US
dc.subjectThermal conductionen_US
dc.subjectComputational homogenizationen_US
dc.subjectFaster convergenceen_US
dc.subjectHomogeneous materialsen_US
dc.subjectMacroscopic responseen_US
dc.subjectMicro-structuralen_US
dc.subjectOptimal convergenceen_US
dc.subjectOptimalityen_US
dc.subjectPeriodic boundary conditionsen_US
dc.subjectSample sizesen_US
dc.subjectSelf-consistent schemeen_US
dc.subjectThermal conductionen_US
dc.subjectWindow methodsen_US
dc.subjectBoundary conditionsen_US
dc.subjectOptimizationen_US
dc.subjectHomogenization methoden_US
dc.titleOn the optimality of the window method in computational homogenizationen_US
dc.typeArticleen_US

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