Application of Integration Algorithms for Elastoplastic Constitutive Relations

摘要

The accurate stress distribution computation affects the simulation of sheet metal forming processes and the subsequent springback prediction significantly. The Euler integration method could not obtain the more accurate computation of the stress increment as the closest point projection method unless enough subintervals are taken, by which the Euler method will take excessive computing time. Without decreasing any accuracy, the closest point projection could save much time. In the closest point projection method, two iteration algorithms are put forward according to the quadratic and non-quadratic yield function respectively. Finally, a square cup deep drawing, a benchmark from NUMISHEET'93, was simulated to investigate the accuracy and efficiency of the closest point projection method.