Fea based optimization of blank holder force and pressure for hydromechanical deep drawing of parabolic cup using 2-D interval halving and RSM methods

Abstract

2-D interval halving and response surface methods are presented to determine optimal process parameters of linear pressure and constant blank holder force profiles for hydromechanical deep drawing of a parabolic cup using finite element analysis. The optimization goal is to obtain the process parameters that minimize part thinning without any cracks and wrinkles. Part thinning and geometry-based wrinkle constraint functions are employed to quantify cracking and wrinkling severity. A response surface of part minimum thickness as a function of maximum internal pressure and blank holder force is constructed by using the data collected during the 2-D interval halving method. The optimum process parameters are then determined from the obtained surface. It is found that the method is capable to determine the optimal blank holder force and linear pressure profiles for hydromechanical deep drawing of the parabolic cup.