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Mathematical analysis and homogenization of the torsion problem

Abstract

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.

Category

Academic article

Language

English

Author(s)

  • Dag Lukkassen
  • Annette Meidell
  • Peter Wall

Affiliation

  • SINTEF Narvik
  • Luleå University of Technology
  • UiT The Arctic University of Norway

Year

2008

Published in

Journal of Function Spaces and Applications

ISSN

0972-6802

Volume

6

Issue

2

Page(s)

155 - 176

View this publication at Norwegian Research Information Repository