考虑壳体运动惯性约束效应的装药燃烧裂纹网络反应演化理论模型  

A buring-crack network theoretical model for reaction evolution of explosives considering the inertial confinement effect of the shell motion

作　　者：教继轩 白志玲 段卓平[1] 张连生[1] 黄风雷[1] JIAO Jixuan;BAI Zhiling;DUAN Zhuoping;ZHANG Liansheng;HUANG Fenglei(State Key Laboratory of Explosion Science and Safety Protection,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]北京理工大学爆炸科学与安全防护全国重点实验室,北京100081

出　　处：《爆炸与冲击》2025年第3期11-23,共13页Explosion and Shock Waves

基　　金：国家自然科学基金(12002044)。

摘　　要：为合理描述机械约束下炸药装药点火后的反应演化行为,深入分析壳体变形运动特征,将壳体响应变化过程分为弹塑性准静态阶段、完全屈服运动阶段和壳体破裂后惯性运动约束阶段。考虑装药燃烧裂纹网络反应演化与壳体变形运动的耦合作用,建立了反映壳体运动惯性约束效应的装药反应演化模型,通过与典型实验结果进行对比,验证了模型及参数的适应性。壳体运动速度和内部压力的变化本质表征了装药能量释放与产物气体对外做功的关系,考虑壳体运动惯性约束效应可以更全面地表征装药反应演化过程,利用该模型,可以根据壳体壁面运动速度历史计算得到弹内压力、反应速率和反应度变化历史,可为约束装药在意外刺激下的安全性设计与评估提供理论支撑。To reasonably describe the reaction evolution behavior of explosives after ignition under mechanical confinement,we conduct in-depth analysis of the deformation and movement characteristics of the shell,and divide the response process of the shell into three stages:elastoplastic stage,complete yield stage,and shell rupture stage with inertial motion constraint.The combustion rate theory and the combustion crack-network theory are employed as pivotal parameters for the reaction evolution of the explosives.In the initial stage,the mechanical properties of the shell are taken into consideration,with the material properties serving as the upper limit for structural constraint strength.During this stage,the deformation of the shell remains relatively small.In the second stage,a generalized equivalent stiffness concept is introduced in order to account for the inertial confinement effect of the shell movement.Furthermore,a mechanical deformation analysis of cylindrical shells and end caps is conducted,which takes into account the coupled effects of combustion crack network reaction evolution and shell deformation movement based on a kinematic theory.The third stage is building upon the foundation established in preceding stages,the impact of gas leakage following shell rupture on the progression of the explosive reaction process is considered,The integration of these three stages yields a formula for pressure,shell velocity,and time in the non-impact ignition reaction evolution process of solid explosives.A model for explosives reaction evolution is established to characterize the inertial confinement effects of the shell movement.This model and the related parameters are verified by comparing the calculating results with typical experimental data.It is found that the velocity of shell motion and the changes in internal pressure fundamentally characterize the relationship between the energy release of the explosives and the work done by the product gas.Considering the inertial confinement effects of shell motion is mor

关 键 词：非冲击点火 反应演化行为 惯性约束效应 广义等效惯性约束刚度 

分 类 号：O389[理学—流体力学] TJ55[理学—力学]