Multi-layered cylindrical structures subject to pressure and thermal loading are commonly seen in many industries. In this study, the formulas for multi-layered cylinders under pressure and thermal loading are derived with an assumption that the cylinders meet generalized plane strain condition, i.e., there is no external constraint in the axial direction and the axial growths of the cylindrical layers are the same. A numerical solution procedure for double-layered cylinders subject to both pressure and thermal load is developed and implemented in a MathCAD® program. To validate the solution, a finite element model for a double-layered cylinder is prepared with ABAQUS®, and its responses under pressure and thermal loading are compared to those from the MathCAD® program. The algorithm of the method can be extended to three or more layered cylinders.

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