| Author | Antoinette M. Maniatty and Ming-Fa Chen |
|---|---|
| Title | Numerical Solution of Inverse Problems for the Design of Steady Forming Processes |
| Year | 1994 |
| Journal | Inverse Problems in Mechanics |
| Volume | 186 |
| Pages | - - |
| Publisher | ASME Press |
| Editor | S. Saigal and L. Olson |
| Abstract | This paper focuses on the development of numerical tools based on inverse methodology for the design of steady forming processes such as drawing and rolling. The inverse design problem discussed herein is to determine the best process geometry to obtain as close as possible a desired material state in the product. The solution procedure follows three main steps: sensitivity analysis, function minimization, and examination of results. The adjoint method is used for determining the sensitivity coefficients. A gradient-based method is then employed to minimize the objective function. Existence, stability and uniqueness of the solutions are of interest in inverse problems and will be investigated in this study. Preliminary numerical results are presented for the optimum die design that generates the desired state variable distribution in the final drawn product. |