Deformation of chiral elastic cylinders composed of two materials

The behavior of chiral elastic materials is of interest to the fields of auxetic materials, carbon nanotubes, honeycomb structures and mechanics of bone. The chiral effects cannot be described within classical elasticity. In this paper we study the deformation of isotropic chiral solids by using the theory of Cosserat elasticity. We investigate the behavior of a bar composed by two different materials. The intended applications of the solution are to bone implants and various compound cylinders. The bar is reinforced by a longitudinal rod and is subjected to extension, bending and torsion. It is shown that the compression of the composed cylinder, in contrast with the result predicted by the theory of achiral materials, is accompanied by torsion and bending. The method is used to investigate the case of a circular cylinder reinforced by a circular rod. In this case the compression of the bar produces only a twist around its axis.