3D Inverse Analysis Model Using Semi-Analytical Differentiation for Mechanical Parameter Estimation

Authors: Forestier R.; Chastel Y.; Massoni E.

Source: Inverse Problems in Engineering, Volume 11, Number 3, June 2003 , pp. 255-271(17)

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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.

Keywords: Parameter estimation; Semi-analytical derivatives; Confidence intervals; Mechanical tests

Document Type: Research article

DOI: http://dx.doi.org/10.1080/1068276031000135908

Publication date: 2003-06-01