Mathematical analysis and homogenization of the torsion problem

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...

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Main Authors:	Dag Lukkassen, Annette Meidell, Peter Wall
Format:	Article
Language:	English
Published:	Hindawi Limited 2008-01-01
Series:	Journal of Function Spaces and Applications
Online Access:	http://dx.doi.org/10.1155/2008/637035

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spelling	doaj-c6071db9ed2f461cbc3cf16b9ea2cceb2020-11-25T00:24:52ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022008-01-016215517610.1155/2008/637035Mathematical analysis and homogenization of the torsion problemDag Lukkassen0Annette Meidell1Peter Wall2Narvik University College, N-8505 Narvik, NorwayNorut Narvik, P.O. Box 250, N-8504 Narvik, NorwayDepartment of Mathematics, Luleå University of Technology, SE-971 87 Luleå, SwedenIn 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.http://dx.doi.org/10.1155/2008/637035
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Dag Lukkassen Annette Meidell Peter Wall
spellingShingle	Dag Lukkassen Annette Meidell Peter Wall Mathematical analysis and homogenization of the torsion problem Journal of Function Spaces and Applications
author_facet	Dag Lukkassen Annette Meidell Peter Wall
author_sort	Dag Lukkassen
title	Mathematical analysis and homogenization of the torsion problem
title_short	Mathematical analysis and homogenization of the torsion problem
title_full	Mathematical analysis and homogenization of the torsion problem
title_fullStr	Mathematical analysis and homogenization of the torsion problem
title_full_unstemmed	Mathematical analysis and homogenization of the torsion problem
title_sort	mathematical analysis and homogenization of the torsion problem
publisher	Hindawi Limited
series	Journal of Function Spaces and Applications
issn	0972-6802
publishDate	2008-01-01
description	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.
url	http://dx.doi.org/10.1155/2008/637035
work_keys_str_mv	AT daglukkassen mathematicalanalysisandhomogenizationofthetorsionproblem AT annettemeidell mathematicalanalysisandhomogenizationofthetorsionproblem AT peterwall mathematicalanalysisandhomogenizationofthetorsionproblem
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Mathematical analysis and homogenization of the torsion problem

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