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On the effective heat conduction properties of heterogeneous media with multiple scales
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.ORCID iD: 0000-0003-2942-6841
Responsible organisation
2005 (English)In: IASME Transactions., ISSN 1790-031X, Vol. 2, 180-183 p.Article in journal (Refereed) Published
Abstract [en]

We study the asymptotic behaviour of generalized heat equations describing a periodic heterogeneous material with multiple scales when the fineness of the structure goes to zero. For different ratio between the characteristic sizes of the two spatial scales and the single time scale we find different equations, defined on a representative unit, providing us with the connection between the microstructure and the effective properties.

Place, publisher, year, edition, pages
2005. Vol. 2, 180-183 p.
Keyword [en]
Heterogeneous material, G-convergence, Homogenization, Multiple scales, Effective properties, Monotone operators
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-2297Local ID: 3077OAI: oai:DiVA.org:miun-2297DiVA: diva2:27329
Available from: 2008-09-30 Created: 2008-12-16 Last updated: 2016-12-12Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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