基于Yeoh-Boyce本构模型的HTPB推进剂药柱结构完整性分析  

Structural integrity analysis of HTPB propellant grain based on Yeoh⁃Boyce constitutive structure model

作　　者：徐一航 李道奎[1] 周仕明 申志彬[1] XU Yihang;LI Daokui;ZHOU Shiming;SHEN Zhibin(Hunan Key Laboratory of Intelligent Planning and Simulation for Aerospace Missions,College of Aerospace Science and Engineering,National University of Defense Technology,Changsha 410073,China)

机构地区：[1]国防科技大学空天科学学院,空天任务智能规划与仿真湖南省重点实验室,长沙410073

出　　处：《固体火箭技术》2023年第5期681-694,共14页Journal of Solid Rocket Technology

基　　金：国家自然科学基金(11872372);湖南省杰出青年基金(2021JJ10046);湖南省自然科学基金(2021JJ30770)。

摘　　要：针对精确描述不同工况下固体火箭发动机药柱结构完整性的需求,基于并行流变框架理论(Yeoh-Boyce)提出了一种能表征HTPB推进剂力学性能变化的非线性本构模型。首先开展了非线性本构模型对不同温度、速率和压力条件下推进剂力学性能的预示能力分析,进而基于所构建推进剂非线性本构模型重点对固化降温后点火增压的固体火箭发动机药柱结构完整性进行分析,并将所得计算结果与工程常用Prony级数线粘弹性本构模型计算结果对比,得到了非线性本构模型与Prony级数线粘弹性本构模型两种模型下的固体火箭发动机药柱工作安全系数。结果表明,所提本构模型对推进剂力学性能预示结果与实验数据符合较好,并且使用Von Mises应变为药柱失效准则时,非线性本构模型计算固化降温后点火增压的固体火箭发动机药柱工作安全系数为1.35,Prony级数线粘弹性本构模型计算结果为1.75。以上结果表明,非线性本构模型计算所得工作安全系数远小于Prony级数线粘弹性本构模型计算结果。In order to accurately describe the structural integrity of solid rocket motor grain under different operating conditions,a non-linear constitutive model based on a parallel rheological framework was proposed to characterize the variation of the mechanical properties of HTPB propellants.The analysis of the predictive capability of the nonlinear constitutive model for the mechanical properties of propellants under different temperature,rate and pressure conditions was carried out firstly,and then the structural integrity of the solid rocket motor grain after solidification and cooling and ignition boosting was analyzed,based on the constructed propellant nonlinear constitutive model.The results were compared with those of the Prony linear viscoelastic constitutive model,and the operational safety coefficients of the solid rocket motor grain were obtained under both the non-linear constitutive model and the Prony linear viscoelastic constitutive model.The results show that the proposed constitutive model predicts the mechanical properties of the propellant,in good agreement with the experimental data,and the working safety coefficient of the solid rocket motor grain for ignition boosting after the results are curing and cooling is 1.35 for the non-linear constitutive model and 1.75 for the Prony linear viscoelastic constitutive model when using the Von Mises strain as the grain failure criterion.The above results show that the working safety coefficient calculated by the non-linear constitutive model is much smaller than that calculated by the Prony linear viscoelastic constitutive model.

关 键 词：HTPB推进剂 并行流变框架 结构完整性 Prony级数 

分 类 号：V435[航空宇航科学与技术—航空宇航推进理论与工程]