An inverse method for material parameters determination of titanium samples under tensile loading

The present study focus on the parameters identification of an elastic-plastic behaviour law by the mean of full-field measurements and inverse method. Titanium samples are loaded under tensile conditions. Measurements provides displacement fields that are used to update a Finite Element (FE) model. The minimization of the cost-function is ensured by a Levenberg-Marquardt (LM) algorithm. The whole deformation process is considered even while necking occurs. Finally, five parameters are successfully identified. The resulting force assessed by the FE model with the identified parameters point the mismatching of the Hollomon’s law when necking rules the deformation.