A new approach to visioplasticity in dynamic plane upsetting
A new numerical approach to analyze the stress distributions in the plane-strain upsetting process is developed. In this procedure, the generalizing stream function with the velocity parameters used to find the optimal flow pattern is produced first, and then the velocity and strain-rate fields can be obtained. From the strain-rate fields calculated, the stress fields can be found by the constructed slip-lines from CauchyRiemann equations. Along these slip-lines, the stress fields can be calculated easily from Hencky equations. The results show that this method presents a good and reasonable solution compared with the slab method and traditional visioplasticity.
cauchyriemann equations gerneralizing stream function slip-line functions