Generally, in functionally graded material structures, a ceramic material as reinforcing part is distributed in a metallic matrix. These structures benefit the merits of both their metallic and ceramic parts such as the mechanical strength and thermal resistance. An important aspect in the function and study of functionally graded material structures is the effect of temperature. Usually, the resulted thermal stresses are so high that partial failure of structure is inevitable. In this paper, by using of different exact and approximate mathematical models and solution techniques, the yielding of a functionally graded material cylindrical pressure vessel is studied. Different solution techniques such as closed form solution, FE solution of ABAQUS and semi-analytical solution of variable material properties are used. Based on the von Mises and Tresca’s yield criteria, the shape of plastic zone are obtained and compared. The influences of different structural parameters as well as the effect of failure criterion upon the results are studied. Accordingly, some justifications are made regarding the selection of different material parameters or failure models.

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