考虑应变率与加载历史效应的HTPB基高填充颗粒增强复合材料双轴拉伸失效判据

A biaxial tensile failure criterion for HTPB-based highly filled particle-reinforced viscoelastic composites considering strain-rate and loading-history effects

  • 摘要: 现有高填充颗粒增强黏弹性材料的多轴失效分析多沿用Mises等瞬时强度理论,未考虑应变率、大变形和蠕变等因素影响,难以描述材料在复杂多轴应力状态下应变率、应力状态和加载历史对损伤演化的耦合作用。以端羟基聚丁二烯 (Hydroxyl-terminated polybutadiene, HTPB) 固体推进剂这一典型的高填充颗粒增强黏弹性材料为研究对象,在25℃条件下开展了10−4 s−1至1 s−1宽应变率范围以及1∶1、1∶0.5和1∶0.25三种加载比的双轴拉伸试验。结果表明,材料失效以界面脱湿、基体撕裂及颗粒断裂为主。随着应变率提高,破坏机制由界面主导向颗粒断裂转变。基于Miner线性累积损伤思想,引入应变率、应力三轴度、偏应力第二不变量以及最大主应力力学参量,建立了考虑应变率效应和加载历史的双轴拉伸失效判据。基于判据和等量损伤原则,构建了不同应变率下能够反映损伤机制变化的失效包络线。该模型的预测结果与试验吻合良好,定力加载验证的平均绝对误差为13.66%,失效包络线平均归一化距离误差为3.49%,且整体预测精度优于传统Mises判据。该研究实现了双轴应力状态下加载历史与率相关损伤行为的统一表征,为高填充颗粒增强黏弹性复合材料在复杂双轴加载条件下的失效预测提供参考。

     

    Abstract: Multiaxial failure analyses of highly filled particle-reinforced viscoelastic materials currently rely largely on instantaneous strength theories such as the Mises criterion, which generally neglect the effects of strain rate, large deformation, and creep. Consequently, these approaches are inadequate for describing the coupled effects of strain rate, stress state, and loading history on damage evolution under complex multiaxial stress conditions. In this study, hydroxyl-terminated polybutadiene (HTPB) solid propellant, a typical highly filled particle-reinforced viscoelastic material, was selected as the research object. Biaxial tensile tests were conducted at 25℃ over a wide strain-rate range from 104 s1 to 1 s1 under three loading ratios of 1∶1, 1∶0.5, and 1∶0.25. The results show that failure of the material is primarily governed by interfacial debonding, matrix tearing, and particle fracture. With increasing strain rate, the dominant failure mechanism shifts from interface-controlled damage to particle fracture. Based on Miner’s linear cumulative damage concept, a biaxial tensile failure criterion incorporating strain-rate effects and loading history was developed by introducing mechanical parameters including strain rate, stress triaxiality, the second invariant of the deviatoric stress tensor, and maximum principal stress. On the basis of this criterion and the principle of equivalent damage, failure envelopes capable of reflecting the evolution of damage mechanisms at different strain rates were constructed. The model predictions agree well with the experimental results, with a mean absolute error of 13.66% in constant-load validation and an average normalized distance error of 3.49% for the failure envelopes. Moreover, the proposed model exhibits higher overall predictive accuracy than the conventional Mises criterion. This study provides a unified characterization of loading-history-dependent and rate-dependent damage behavior under biaxial stress states, offering a reference for failure prediction of highly filled particle-reinforced viscoelastic composites under complex biaxial loading conditions.

     

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