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The rheological parameter identification formulated as an inverse finite element problem

Abstract : A theory for the automatic computation of the rheological parameters of a material undergoing a large plastic deformation is presented. It is implemented in a non-steady finite element model. The principle is to find the constitutive parameters which permits to compute the closest values of a set of experimental quantities which are measured for different operating conditions. A least square deviation between computed and measured variables is minimized with respect to the parameters of an appropriate material constitutive equation. The proposed identification model is illustrated on the torsion test of a Norton-Hoff viscoplastic material. A detailed numerical analysis and an application for a real experimental torsion data is presented. In the case of more sophisticated constitutive formulation, all the rheological parameters, which defined the variation of the material consistency and of the strain rate sensitivity with respect to the generalized plastic strain and/or the temperature, are simultaneously estimated.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00538371
Contributor : Corinne Matarasso <>
Submitted on : Monday, November 22, 2010 - 1:46:21 PM
Last modification on : Wednesday, October 14, 2020 - 4:02:45 AM

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  • HAL Id : hal-00538371, version 1

Citation

Adinel L. Gavrus, Elisabeth Massoni, Jean-Loup Chenot. The rheological parameter identification formulated as an inverse finite element problem. Inverse Problems in Engineering, Informa UK (Taylor & Francis), 1999, 7 (1), p.1-41. ⟨hal-00538371⟩

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