bi-directional thermoelastic analysis of pressurized thick cylindrical shell with nonlinear variable thickness

In this paper, a thermo-elastic analysis is presented to obtain stresses, displacements, and the thermal field in the axisymmetric clamped–clamped rotating thick cylindrical shell with nonlinear variable thickness. this shell is subjected to mechanical and thermal load in two dimensions. the governing equations are formulated as a set of non-homogeneous ordinary differential equations with variable coefficients. the system of partial differential equations is semi-analytically solved by using (mlm). the solution of equations is obtained by applying boundary conditions and ensuring continuity between the layers. the problem is also solved, using the finite element method (fem). the obtained results of the disk form multi-layers method (mlm) are compared with those of fem.