Design of large-deformation steady elastoplastic manufacturing processes. Part II: sensitivity analysis and optimization

An optimization algorithm for quasi-steady forming processes is presented t hat is based upon the computationally efficient reference frame formulation . The direct differentiation method is used to efficiently evaluate the res ponse sensitivities. Select forming response measures and their sensitiviti es are combined with non-linear programming methods to optimize the process . To illustrate these methods, drawing and rolling processes are optimized The die shape in a drawing process is designed to minimize the distortion a nd yield stress variation in the workpiece. The pass heights in a multi-pas s rolling process are designed to so that the same degree of camber, and he nce the same roll, can be used in each of the passes. Copyright (C) 2000 Jo hn Wiley & Sons, Ltd.