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Thermo‐viscoplastic parameter identification formulated as an inverse finite element analysis of the hot torsion test
Author(s) -
Gavrus Adinel,
Massoni Elisabeth,
Chenot JeanLoup
Publication year - 1999
Publication title -
steel research
Language(s) - English
Resource type - Journals
eISSN - 1869-344X
pISSN - 0177-4832
DOI - 10.1002/srin.199905637
Subject(s) - viscoplasticity , inverse , finite element method , torsion (gastropod) , rheology , mathematics , thermodynamics , calculus (dental) , constitutive equation , mathematical analysis , physics , geometry , medicine , surgery , dentistry
This paper deals with an inverse finite element approach applied to the analysis of the steel behaviour during a hot torsion test. The rheological test is simulated by a finite element model and the inverse analysis principle is to find the constitutive parameters which permit to compute the closest values of a set of experimental torques which are measured for different operating conditions. A least square deviation between computed and measured variables is minimized with respect to the Theological coefficients corresponding to an appropriate material constitutive equation. A numerical validation of the proposed method is illustrated in the case of a Norton‐Hoff thermo‐viscoplastic law. All the rheological parameters which defined the consistency and the strain rate sensitivity can be simultaneously determined for a chosen analytical expression.