Analytical solution for the micropolar cylindrical shell: Carrera unified formulation (CUF) approach.

Here, an analytical form Navier solution for higher-order micropolar theory of cylindrical shell was developed based on the CUF approach. The cases of complete linear expansion and model based on Timoshenko-Mindlin shear deformation hypothesis are considered in detail. The two-dimensional system of differential equations obtained here using the principle of virtual displacements for the theory of micropolar elastic cylindrical shell of a higher order is solved here for the case of freely supported cylindrical shell using the Navier variable separation method. Some numerical examples were performed and the influence of the rotational field, as well as the micropolar couple stress on the stress–strain state, was analyzed. The equations presented here can be used for the stress–strain calculation and for thin-walled structures modeling in macro-, micro-, and nanoscale, with considering effects of micropolar couple stress and rotation. [ABSTRACT FROM AUTHOR]