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.