Applying micro-mechanics to finite element simulations of split hopkinson pressure bar experiments on high explosives

摘要

We have developed a constitutive theory based on the Method of Cells and a modified Mori-Tanaka (MT) effective medium theory to model high explosives. MT effective medium theory allows us to model the smaller explosive grains in the viscoelastic matrix while the Method of Cells partitions the representative volume element into a single subcell designating a large grain, and the remaining subcells for the small grain-binder mixture. The model is then implemented into the finite-element code EPIC. Split Hopkinson Pressure Bar (SHPB) experiments are simulated. We compare the predicted incident, transmitted and reflected strains with SHPB experimental values.