Identification of metal sheet parameters (Levenberg-Marquardt algorithm) and identifiability method

Knowing the material parameters in advance and simulating the process seems something trivial in the numerical modelling. Here, the challenge is starting with the reference result in order to find the material parameters: it is the inverse modelling. In my current work, the chosen algorithm is the well-known Levenberg-Marquardt algorithm. This algorithm allows us to obtain a numerical solution of a problem of minimization function, often nonlinear and depending on several variables. This method was developed by Kenneth Levenberg and published after by Donald Marquardt.
Implementaion and an application of LM algorithm are presented in this report. This original contribution consists to use several tests with different type of numerical results to identify the same set of parameters.