Shock-induced heating in cyclotrimethylene trinitramine with initial void: Numerical and analytical study

Abstract

This study investigates shock-induced heating in cyclotrimethylene trinitramine (RDX) with initial voids using a combined approach of numerical simulation and analytical models. Our results demonstrate that the presence of voids significantly alters the shock Hugoniot state, promoting localized heating and elevating ignition risk. Localized heating was quantified by calculating the temperature rise within hotspots by averaging over spherical regions with a diameter of 20 Å, determined from the width of nanoscale shear bands observed in shock simulations. To describe the coupled thermo-mechanical response of RDX with initial void, we developed a modified Kim model [K. Kim, Proceedings of the 9th Symposium (International) on Detonation (Office of the Chief of Naval Research, 1989), 593–603], which was originally formulated within a continuum mechanics framework for void collapse heating, that explicitly incorporates void effects. The analytical model provides mechanistic insights into void-driven heating and shows excellent agreement with simulation results, validating its predictive capability at the nanoscale.