Modeling of Shock Wave Propagation through Energetic Solid State Composites using a Taylor-Galerkin Scheme

摘要

A structural dynamics code for modeling extreme events such as shock and detonation waves in Polymer-Bonded Explosives (PBXs)is presented. PBXs are multi-component solid-state composite consisting of energetic crystals and metal particles embedded in a polymeric binder and are used for conventional munitions. A stable efficient solution strategy based on a Taylor-Galerkin finite element (FE) discretization was developed to solve PBXs behavior under extreme shock loading. Equations of state for the solid unreacted material and gaseous reaction products are implemented using a pressure mixture rule governed by pressure based reaction rates. The FE model is verified using analytical solutions for Sod shock and ZND strong detonation models. Numerical results for PBXs under shock loading are presented using a continuum model and a first-order multiscale model.