Author | A. M. Maniatty and M-F. Chen |
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Title | Algorithm for Optimization of Steady Forming Processes |
Year | 1997 |
Journal | Computational Plasticity: Fundamentals and Applications |
Volume | - - |
Pages | 1341-1348 |
Editor | D.R.J. Owen, E. Onate, and E. Hinton |
Abstract | This work presents a numerical optimization algorithm for designing steady forming processes. The design problem considered involves producing a specified material property distribution in formed materials where the forming process can be approximated as steady. The design parameters are the process geometry and, in some cases, the speed. The material property of interest is a scalar internal variable which is meant to represent the state of the material. The tool shape optimization described in this study is the nonlinear inverse problem that determines the two-dimensional forming geometry used to satisfy a specified design criterion which is to generate a desired material property distribution in the final product. In this work, an objective function is combined with a penalty function to form an unconstrained function to be minimized. The BFGS (Broyden-Fletcher-Goldfarb-Shanno) quasi-Newton method with a Brent method line search is used to perform the minimization. Details of the algorithm and update procedures as well as results for extrusion and rolling processes are presented. |
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