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Developement of a parameter identification method by inverse analysis coupled with a 3D finite element model

Romain Forestier 
Abstract : The aim of this work is the developement of an automatic parameter identification method coupled with the finite element software FORGE3. Mechanical tests analysis involving refined material flows and complex rheological behaviour requires the use of inverse methods coupled with finite element solvers. The method developed in this study is coupled with the 3D direct model FORGE3 in order to take into account 3D material flows encountered in some tests. The inverse problem is formulated as a least square optimisation problem. In order to minimise the computational time associated with the resolution of the inverse problem, a descent direction method (Gauss-Newton method) is chosen. This algorithm is a good compromise between accuracy and computational time. Since descent direction method can show some instabilities, the Gauss-Newton method is stabilised in order to allow the identification of relatively complex rheological model parameters. The proposed approach is validated for several numerical problems which cover a wide range of mechanical tests. In order to compute the Gauss-Newton algorithm and to study its accuracy, a sensitivity analysis module is developed. This module is based on a semi-analytical scheme, which is flexible, accurate and not too time consuming. The global parameter identification scheme is tested on practical problems: compression, torsion and plane strain compression tests. The proposed approach also allows the study of formability tests to obtain rheological behaviours. SICO tests, bulge tests and Nakazima on metallic sheets tests are analysed. The proposed parameter identification module allows to identify various rheological models (viscoplastic, elastic-viscoplastic, Hill's anisotropic criterion) from various simple or complex mechanical tests. Finally, the sensitivity analysis has been used as a tool to design the experiments themselves, for instance for the Nakazima tests and for the plane strain compression tests.
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Submitted on : Monday, September 5, 2005 - 8:00:00 AM
Last modification on : Tuesday, September 29, 2015 - 10:32:45 AM
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  • HAL Id : pastel-00001362, version 1



Romain Forestier. Developement of a parameter identification method by inverse analysis coupled with a 3D finite element model. Mathematics [math]. École Nationale Supérieure des Mines de Paris, 2004. English. ⟨pastel-00001362⟩



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