Stresses in heated pressurized multi-layer cylinders in generalized plane strain conditions

•An analytical solution for heated pressurized multi-layer cylinders is developed.•The solution is easily implemented and computationally efficient.•The solution highlights application to coated pipelines.•The analytical solution is verified numerically by finite element analyses.

An analytical solution for the displacement field and corresponding stress state in multi-layer cylinders subjected to pressure and thermal loading is developed. Solutions are developed for axially loaded and spring-mounted cylinders, assuming that the combined multi-layer cross-section remains plane after deformation (generalized plane strain). The analytical solutions are verified by means of detailed three-dimensional finite element analyses. The solutions are easily implemented in, and suitable for, engineering applications.