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An analytical solution for the upset forging of parts that have some axis of symmetry, using an upper bound approach have been represented in this paper. The method presented in here is general and could be applied to different shapes and sizes. The upsetting pressure and the deformation patterns could be obtained using this analysis. Two and threedimensional deformations during the upset forging of non-circular billets could be obtained using the present method from which the three dimensional forging of
elliptical billets are presented here as an example. The bulging effect has also been
taken into account and is predicted very well by the theory. The effect of work hardening has also been taken into account in the present formulations. The theoretical results obtained by the present theory have been compared with the experimental and theoretical results of other workers and good agreement was observed. The main advantage of the present analysis was the
computational time taken by this method,
which was estimated to be at least 75% less than that of the other workers.