An advanced detonation shock dynamics (DSD) model for Insensitive High Explosives

The original DSD model is an asymptotic theory describing the near Chapman-Jouguet detonation reaction zone, accounting for velocity changes due to local shock curvature. Advanced DSD models incorporate additional intrinsic quantities, such as shock acceleration. In this work, we propose an advanced DSD mathematical framework for insensitive plastic-bonded explosives, derive the resulting differential equations, and demonstrate how these quantities can be calibrated to experimental observables, such as the detonation diameter effect and shock-to-detonation transition. Furthermore, we highlight the benefits of including acceleration terms, as they enable the modeling of detonation initiation and failure. Finally, we validate the model using detonation corner-turning experiments.