Inverse problems in finite element simulation of metal forming processes

• Published in: Engineering computations Vol. 13; no. 2/3/4; pp. 190 - 225
• Main Authors: Chenot, Jean-Loup, Massoni, E., Fourment, JL
• Format: Journal Article
• Language: English
• Published: Bradford MCB UP Ltd 01.03.1996; Emerald Group Publishing Limited; Emerald
• Subjects: Design optimization; Engineering; Engineering Sciences; Extrusion dies; Finite element analysis; Finite element method; Forging; Inverse problems; Metal forming; Metalworking industry; Methods; Numerical analysis; Optimization techniques; Parameter estimation; Parameter identification; Rheology; Sensitivity analysis; Simulation; Studies; Tool design; Finite element method; Tool design; Forging; Metal forming; Simulation
• ISSN: 0264-4401; 1758-7077
• DOI: 10.1108/02644409610114530

Focuses on the inverse problems arising from the simulation of forming processes. Considers two sets of problems: parameter identification and shape optimization. Both are solved using an optimization method for the minimization of a suitable objective function. The convergence and convergence rate of the method depend on the accuracy of the derivatives of this function. The sensitivity analysis is based on a discrete approach, e.g. the differentiation of the discrete problem equations. Describes the method for non-linear, non-steady-state-forming problems involving contact evolution. First, it is applied to the parameter identification and to the torsion test. It shows good convergence properties and proves to be very efficient for the identification of the material behaviour. Then, it is applied to the tool shape optimization in forging for a two-step process. A few iterations of the inverse method make it possible to suggest a suitable shape for the preforming tools.