Abstract
A two-layer rod with a box section twisted by angle \(\theta\) under the action of shear stresses is considered. It is assumed that the rod deformations are elastic and its lateral surface is stress-free. The layers have different elastic properties and different thicknesses. The contact line between the layers is assumed to be rigid, i.e., the stresses on it are the same. An exact solution describing the stress state of this structure is constructed using conservation laws. The stress state is determined at each point of the cross section using outer contour integrals.
