Limit Analysis of Hollow Disk Forging—Part 1: Upper Bound

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Abstract
An upper bound analysis for hollow disk forging is presented. Flow is described by a kinematically admissible velocity field which accounts for bulging of the inner and outer surfaces. The friction stress is assumed to be constant across the entire platen-hollow disk interface. Analytical predictions include the relative neutral radius, a bulge parameter and the relative average pressure all in terms of friction and hollow disk geometry. An improvement is observed over previous parallel velocity field solutions.

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