DPC model input data transposition 

  1. A. Michrafy a, G. Alonso Aruffo a, D. Oulahna a

a RAPSODEE CNRS IMT Mines Albi 

Purpose. Drucker-Prager Cap (DPC), is a widely used model for powder compaction behavior. For a good prediction of density distribution using Finite Element Method (FEM), accurate input data are crucial. A Standard Method Calibration (SMC) of DPC parameters is commonly used.  However, FEM simulation of die compaction is often carried out using identical scale. To our knowledge, the transposition of such data to the simulation of another die shape and size, has not been studied. The objective of this work is to investigate the transposition of such data to a parallelepiped shape. 

Methods. DPC model input data of microcrystalline cellulose powder was determined using SMC and an instrumented die of 1 cm3 volume. Used in FEM simulation of compaction of a parallelepiped compact of 42 cm3, such data didn’t allow to predict the compaction cycle. To overcome this, a new procedure was developed to account the shape and size. The new data were further used to compute the density distribution of deep grooved parallelepiped compact and predictions were validated using x-ray tomography measurements. 

Results. With the new data, the measured compaction cycle of a flat face parallelepiped compact was predicted.  Moreover, the predicted density distribution of deep grooved parallelepiped compact was validated using x-ray tomography measurements. 

 Conclusions. This work explored the transposition of DPC input data from a 1 cm3 cylindrical die to a large parallelepiped die using a new procedure of calibration. This methodology showed its robustness to predict the density distribution of deep grooved compact. 

Dr. Abderrahim Michrafy obtained his Ph.D. in applied mathematics from the University of Bordeaux, France. Then he joined the CNRS in 1989 as Research Engineer in modelling and computation science. He worked successively for three French laboratories in chemical and mechanical fields (LRGP at Nancy, ICA-Albi and RAPSODEE, at Ecole des Mines, Albi). In 2011, he defended his HDR (Habilitation à Diriger des Recherches). His main research is focused on die and dry granulation/roll-compaction processes for pharmaceutical and mineral applications. He is currently a scientific responsible of the group “Particulate Solids, Processes and Products” in RAPSODEE lab. of Ecole des Mines.