Abstract Shock-to-detonation transition profiles of PBX 9502 explosive are analyzed to develop a rate law for shock acceleration. The shock motion profiles are seen to follow a common trend in the shock acceleration–velocity frame, aside from an early time transient that is dependent on the initiating shock strength. The duration of the early time transient is seen to correlate with the initial shock strength. The common shock acceleration profile is seen to be Arrhenius-like with respect to the local particle velocity or pressure. A dual-rate pressure-dependent Arrhenius-type rate law is developed with the duration of the early rate set by the initial shock strength. The rate law is able to predict the shock motion for all tests well in both particle velocity and pressure space. In addition to directly measuring commonalities in the acceleration profiles of the experimental shock motion, this work provides insight into the functional form of the reaction rate laws for this TATB-based high explosive. The rate law also supports the concept that shock-driven reaction in heterogenous high explosives is driven by localized ignition and growth of hotspots.

中文翻译：

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PBX 9502 高炸药冲击-爆轰转变过程的压力或速度相关加速度定律

摘要 分析了PBX 9502 炸药的冲击-爆轰转变曲线，以建立冲击加速度的速率定律。除了依赖于起始冲击强度的早期瞬变之外，冲击运动轮廓被认为遵循冲击加速度 - 速度框架中的共同趋势。早期瞬变的持续时间被认为与初始冲击强度相关。就局部粒子速度或压力而言，常见的冲击加速度曲线被认为是类似阿伦尼乌斯的。双速率压力相关的 Arrhenius 型速率定律是由初始冲击强度设定的早期速率持续时间发展而来的。速率定律能够很好地预测粒子速度和压力空间中所有测试的冲击运动。除了直接测量实验冲击运动的加速度曲线的共性外，这项工作还提供了对这种基于 TATB 的高爆炸药反应速率定律函数形式的深入了解。速率定律还支持这样一个概念，即非均质高爆炸药中的冲击驱动反应是由局部点火和热点增长驱动的。