Weak solutions of the problem of torsion of micropolar elastic beams

Abstract

In this paper, we consider torsion of a micropolar beam whose cross-section is bounded by an irregular curve. Using the boundary integral equation method we find the (weak) solution for the warping function in a Sobolev space setting and illustrate the effectiveness of the method using an example of torsion of a micropolar graphite square beam. The example demonstrates the effect of material microstructure.