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Explicit limits for nonperiodic homogenization and reduction of dimension
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-3125-3030
2002 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, E-ISSN 1778-3569, Vol. 334, no 11, 977-982 p.Article in journal (Refereed) Published
Abstract [en]

The aim of this Note is to give explicit limit expressions. for diffusion equations involving a small parameter E, describing both nonperiodic homogenization and reduction of dimension. We consider two kinds of reduction of dimension: the case of plates and the case of thin cylinders. In particular, we give the limit diffusion equation for stratified plates. This is completely explicit and requires no special assumption, except stratification. In the case of thin cylinders, the formulae are less explicit, but we also indicate some simple applications to fibered materials.

Place, publisher, year, edition, pages
2002. Vol. 334, no 11, 977-982 p.
Keyword [en]
model, convergence, cylinders
Identifiers
URN: urn:nbn:se:kth:diva-21763ISI: 000177104200009OAI: oai:DiVA.org:kth-21763DiVA: diva2:340461
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Gustafsson, Björn

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