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3D inverse analysis model using semi-analytical differentiation for mechanical parameter estimation

Abstract : An inverse method is developed in order to estimate constitutive parameters of a material from compression tests. The direct model used to simulate mechanical tests is FORGE3®. It solves a transient thermo-mechanical problem using a finite element method. From velocity, pressure and temperature fields, any output of a mechanical test can be computed and compared with experimental data. A Gauss-Newton algorithm is implemented to solve the least-square problem associated with the inverse problem. The optimisation module is coupled with a semi-analytical sensitivity analysis method. This method is fast and stable when using a remeshing algorithm. A confidence interval estimator is proposed. The stability of the optimisation module and the confidence interval estimation are tested for numerical test cases. Finally, constitutive parameters of a steel grade are estimated for two elastic-viscoplastic constitutive laws.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00673862
Contributor : Magalie Prudon <>
Submitted on : Friday, February 24, 2012 - 2:18:00 PM
Last modification on : Thursday, September 24, 2020 - 5:22:54 PM

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Romain Forestier, Yvan Chastel, Elisabeth Massoni. 3D inverse analysis model using semi-analytical differentiation for mechanical parameter estimation. Inverse Problems in Engineering, Informa UK (Taylor & Francis), 2003, 11 (3), pp.Pages 255-271. ⟨10.1080/1068276031000135908⟩. ⟨hal-00673862⟩

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