Characterization and modeling of the viscoelasticity of pharmaceutical tablets

Evolution of the compaction properties of powders with the compaction speed (strain rate sensitivity, SRS) is a common phenomenon during the manufacturing of pharmaceutical tablets. Nevertheless, several different phenomena can be responsible of the SRS like friction, viscoelasticity, viscoplasticity or air entrapment. In this work, an original experimental methodology was developed to characterize specifically the viscoelasticity of tablets using a compaction simulator. After various compressions, tablets were finally loaded elastically at different constant strain rates. This methodology made it possible to measure the apparent bulk and shear moduli as a function of the strain rate. The methodology was successfully applied to microcrystalline cellulose (MCC), Starch, Lactose monohydrate (GLac) and Anhydrous Calcium Phosphate (ACP). No significant evolution of the moduli was found for Lac and ACP as expected. On the contrary, for MCC and Starch, both shear and bulk moduli were found to increase along with the strain rate. The viscoelastic behavior was then successfully modeled using prony series. Assessment of the model parameters was achieved by inverse identification using an analytical model and a finite element analysis.