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Mathematical analysis and homogenization of the torsion problem
Narvik University College, 8505 Narvik, Norway.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
2008 (English)In: Journal of Function Spaces and Applications, ISSN 0972-6802, E-ISSN 1758-4965, Vol. 6, no 2, p. 155-176Article in journal (Refereed) Published
Abstract [en]

In this paper we address the limitations of the classical formulation of the torsion problem and give a self-contained survey of the function spaces and formulations that are more suitable for analysing the torsional behavior of composite materials. We also prove some homogenization results for the torsion problem in both the periodic and stochastic setting. Our theoretical results are illustrated by numerical examples.

Place, publisher, year, edition, pages
2008. Vol. 6, no 2, p. 155-176
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-11163Local ID: a11ab190-865b-11dd-8275-000ea68e967bOAI: oai:DiVA.org:ltu-11163DiVA, id: diva2:984112
Note
Validerad; 2008; 20080919 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Lukkassen, DagWall, Peter

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