Some results in the theory of chiral Cosserat elastic plates

The mechanical behaviour of chiral materials is of interest for the investigation of carbon nanotubes, honeycomb structures, auxetic materials and bones. This paper is concerned with a theory of chiral Cosserat elastic plates. In this theory, in contrast with the case of achiral plates, the stretching and flexure cannot be treated independently of each other. First, we derive the basic equations which characterize the deformation of chiral plates. Then, the deformation of an infinite plate with a circular hole is studied. The salient feature of solution is that a uniform pressure acting on the boundary of the hole produces a microrotation of the material particles.