Calibration of DEM parameters on shear test experiments using Kriging method

Xavier Bednarek (1, 2, 3) , Sylvain Martin (1, 2, 3) , Abibatou Ndiaye (4) , Véronique Peres (1, 2, 5) , Olivier Bonnefoy (1, 2, 3)

1 SPIN-ENSMSE - Centre Sciences des Processus Industriels et Naturels
2 LGF-ENSMSE - Laboratoire Georges Friedel
3 PMMG-ENSMSE - Département Procédés de Mise en oeuvre des Milieux Granulaires
4 Areva-Melox
5 PTSI-ENSMSE - Département Procédés de Transformations des Solides et Instrumentation

Calibration of powder mixing simulation using Discrete-Element-Method is still an issue. Achieving good agreement with experimental results is difficult because time-efficient use of DEM involves strong assumptions. This work presents a methodology to calibrate DEM parameters using Efficient Global Optimization (EGO) algorithm based on Kriging interpolation method. Classical shear test experiments are used as calibration experiments. The calibration is made on two parameters - Young modulus and friction coefficient. The determination of the minimal number of grains that has to be used is a critical step. Simulations of a too small amount of grains would indeed not represent the realistic behavior of powder when using huge amout of grains will be strongly time consuming. The optimization goal is the minimization of the objective function which is the distance between simulated and measured behaviors. The EGO algorithm uses the maximization of the Expected Improvement criterion to find next point that has to be simulated. This stochastic criterion handles with the two interpolations made by the Kriging method : prediction of the objective function and estimation of the error made. It is thus able to quantify the improvement in the minimization that new simulations at specified DEM parameters would lead to

Mots clés: Powder; DEM; Numerical Simulation; Shear test; Calibration; Kriging; Efficient Global Optimisation

Domaines: Génie des procédés

Xavier Bednarek, Sylvain Martin, Abibatou Ndiaye, Véronique Peres, Olivier Bonnefoy. Calibration of DEM parameters on shear test experiments using Kriging method. Powders and Grains 2017 – 8^th International Conference on Micromechanics on Granular Media, LMGC, CNRS, Université de Montpellier; IATE, INRA, Montpellier, Jul 2017, Montpellier, France. ⟨10.1051/epjconf/201714015016⟩. ⟨hal-01570602⟩