This is a review paper containing the governing equations and analytical solutions of classical shear deformation theories functionally graded straight beams. The classical, first-order, third-order account for through-thickness variation two-constituent material, modified couple stress (i.e., strain gradient), von Kármán nonlinearity. Analytical bending linear theories, some which are not read...

We perform the analytic investigation of stress-strain state a functionally graded cylindrical shell finite length heated by two-dimensional temperature field. The properties material are regarded as functions thickness coordinate. In our investigations, we use equations refined theory shells that takes into account deformation transverse shear and normal deformation. heat-conduction equation i...