Some improvements on the optimum process design in deep drawing using the inverse approach

A “one step” finite element method called the Inverse Approach (IA) has been developed to estimate the large elasto-plastic strains in thin sheet metallic parts obtained by deep drawing. In this work the development status of the IA for the analysis and optimum process design of industrial parts is presented. The first part of the paper deals with the improvements on the analysis with analytical formula to consider the restraining forces due to the drawbeads. The second part deals with the optimization procedure combining the IA, a BFGS algorithm and analytical sensitivity analysis to optimize material parameters and restraining forces. Two applications are presented to demonstrate the applicability of the proposed optimization procedure.