不同应变率条件下推进剂/衬层界面内聚力模型及其在脱黏模拟中的应用

The bilinear cohesive model of propellant/filling layer interface under different strain rates and its application in the simulation of debonding

摘要

界面脱黏是固体发动机体常见的破坏形式之一，内聚力模型是研究发动机推进剂/衬层界面脱黏的重要手段。首先通过标准矩形试件扯离实验获得6种不同应变率下的载荷-位移曲线，确认了试件的破坏形式为黏接失效，总结了载荷-位移曲线的主要特征。其次，利用响应曲面法构建了获得整体最优参数的方法，通过该方法反演得到双线型（bilinear）与指数型（exponential）内聚力模型的最优参数，通过与实验曲线对比，指明了2种模型的优缺点。最后，将指数型内聚力模型代入圆管发动机有限元模拟中，研究了内聚力参数、加载速率、界面刚度、壳体/推进剂模量等因素对界面脱黏行为的影响。结果表明，刚度与断裂能对脱黏长度有较大影响，而最大强度只影响最大剥离力，加载速率对最大剥离力与剥离长度都有明显影响，推进剂的弹性模量和界面刚度对圆管发动机半径方向上的应力有较大影响，壳体的弹性模量对该应力却并无影响。

Abstract

Interface debonding is one of the most common failure modes in solid rocket motors，and the Cohesive zone model（CZM）is an important method for studying the debonding of the engine propellant/liner interface. Six different strain rate load-displacement curves were obtained through standard rectangular specimen peel tests，confirming that the failure mode of the propellant/liner bonding interface is cohesive failure. The main features of the load-displacement curves were summarized. Then，a method to obtain the overall optimal parameters was established using the response surface method. The optimal parameters of the bilinear cohesive model and the exponential cohesive model were inverted by this method. By compared with the experimental curves，the advantage and disadvantage of these two models were presented. Finally，the exponential cohesive model was incorporated into the finite element model of a cylindrical motor to investigate the influence of cohesive force parameters，loading rate，interface stiffness，and shell/propellant modulus on debonding behavior. The results indicate that stiffness and fracture energy have a significant impact on debonding length，while maximum strength only affects the maximum peel force. Loading rate has a noticeable effect on both maximum peel force and debonding length. The elastic modulus of the propellant and the interface stiffness have a significant influence on the stress in the radial direction of the cylindrical motor，whereas the shell modulus has no effect.

关键词

内聚力模型 / 响应曲面法 / 脱黏

Key words

cohesive zone model / response surface method / debonding

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基金资助

国家自然科学基金资助项目(11932010)