The stress-strain state of a hypoelastic cylindrical layer under finite strain

The exact analytical solution of the problem of axial shear of a cylindrical layer fixed on the inner surface is obtained. On the outer surface, the tangential forces are uniformly distributed. The model of hypoelasticity with objective derivatives of the corotation type is adopted: the Jaumann stress rate and the Green–McInnis–Naghdi stress rate. The analysis of these models shows the existence of the Kelvin and Poynting effects.