Weak solutions of the problem of torsion of micropolar elastic beams

作者：Potapenko Stanislav^*; Shmoylova E

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2010, 61(3): 529-536.

DOI：10.1007/s00033-009-0018-y

• Linear micropolar elasticity
• Torsion
• Material microstructure
• Weak solutions

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.

• 出版日期2010-6