Mathematical analysis and homogenization of the torsion problem
Dag Lukkassen,1Annette Meidell,2and Peter Wall3
Academic Editor: Alois Kufner
Received01 Jun 2007
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.