initial blank design of deep drawn orthotropic materials using inverse finite element method

in this work, an inverse finite element formulation was modified for considering material anisotropy in obtaining blank shape and forming severity of deep drawn orthotropic parts. in this procedure, geometry of final part and thickness of initial blank sheet were known. after applying ideal forming formulations between material points of initial blank and final shape, an equation system was obtained in terms of unknown initial positions on the blank sheet. initial positions of material points were obtained by solving this equation system. in this algorithm, the hill's anisotropic plasticity and associated plastic flow rule were used. strain distribution on the final part was obtained by comparing the initial blank and final part. the method was applied for the simulation of drawing an orthotropic blank to a rectangular cup. accuracy of the presented method was evaluated by comparing the results with numerical forward method and experiment results.