The power and forces required to fill a corner cavity in closed-die forging depend on the amount of transient thermal conduction from the heated billet into the cold die. The amount of this conduction is calculated numerically for a steel billet and a steel die, by neglecting the flow of heat in the direction parallel to the movement of metal. The theory takes account of variations in the flow stress consequent on temperature change within the bulk of the plastic material and in the plastic boundary layer near the interface.

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