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Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
University of Liverpool, England.
Liverpool John Moores University, England.
2016 (English)In: Multiscale Modeling & simulation, ISSN 1540-3459, E-ISSN 1540-3467, Vol. 14, no 1, 138-172 p.Article in journal (Refereed) PublishedText
Abstract [en]

For highly perforated domains the paper addresses a novel approach to study mixed boundary value problems for the equations of linear elasticity in the framework of mesoscale approximations. There are no assumptions of periodicity involved in the description of the geometry of the domain. The size of the perforations is small compared to the minimal separation between neigh-boring defects and here we discuss a class of problems in perforated domains, which are not covered by the homogenization approximations. The mesoscale approximations presented here are uniform. Explicit asymptotic formulas are supplied with the remainder estimates. Numerical illustrations, demonstrating the efficiency of the asymptotic approach developed here, are also given.

Place, publisher, year, edition, pages
SIAM PUBLICATIONS , 2016. Vol. 14, no 1, 138-172 p.
Keyword [en]
mesoscale approximations; singularly perturbed problems; elasticity; multiply perforated domains; asymptotic analysis
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URN: urn:nbn:se:liu:diva-127592DOI: 10.1137/151006068ISI: 000373366500006OAI: diva2:925956
Available from: 2016-05-03 Created: 2016-05-03 Last updated: 2016-05-24

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Mazya, Vladimir
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Mathematics and Applied MathematicsFaculty of Science & Engineering
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