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四种强度准则在高聚物粘结炸药强度分析中的适应性
引用本文:唐维,李明,温茂萍,蓝林刚,刘彤,章定国.四种强度准则在高聚物粘结炸药强度分析中的适应性[J].固体力学学报,2013,34(6):550-556.
作者姓名:唐维  李明  温茂萍  蓝林刚  刘彤  章定国
作者单位:1. 中国工程物理研究院化工材料研究所2. 3. 南京理工大学理学院
摘    要:强度准则是炸药材料破坏力学的重要组成部分,是炸药部件承载能力评估的基础。基于单轴加载技术,设计了圆柱试件的端部约束压溃试验方法,对HMX基PBX和TATB基PBX两种材料进行了复杂应力下的强度失效试验。依据试验边界条件和平均测试结果,利用有限元方法定量分析了试件内部的应力场分布,最后采用最先破坏处的三向主应力数据分析了四种典型强度准则在PBX强度分析中的适应性。就描述精度来看,Mohr-Coulomb准则最优,误差在15%以内,Twin-shear准则和Drucker-Prager准则次之,现常用的Uniaxial-strength准则相对最差。就安全阈度来看,Uniaxial-strength准则最优,两种材料中安全阈度均超过75%,Mohr-Coulomb准则和双剪Twin-shear准则次之,Drucker-Prager准则相对最差。总的来讲,Mohr-Coulomb准则可用于描述HMX基PBX的表观强度上限和TATB基PBX的表观强度下限,Twin-shear准则可用于描述TATB基PBX的表观强度上限。

关 键 词:固体力学  强度准则  高聚物粘结炸药  表观强度  
收稿时间:2012-11-15

Adaptability of Four Strength Criterions in Polymer Bonded Explosives Strength Analysis
Abstract:Strength criterion is an important component in explosive failure mechanics, and is also the basis of appraising the supporting capacity of explosive parts. Two types of polymer bonded explosives (PBXs), HMX-based PBX and TATB-based PBX, are employed. An end-bounded cylinder collapse method, based on uniaxial loading technique, is proposed to test strength failure under complex stress states. The stress field is presented according to finite element simulation, and the adaptability of criterions in PBXs’ strength analysis is illustrated based on principal stresses of initial failure position at last. Among these four criterions, Mohr-Coulomb criterion has the best precision with a error less than 15%, Twin-shear criterion and Drucker-Prager criterion take second place, Uniaxial-strength criterion is relatively poor. On the other hand, Uniaxial-strength criterion has the best safety threshold with a margin more than 75%, Mohr-Coulomb criterion, Twin-shear criterion and Drucker-Prager criterion follow. In a word, Mohr-Coulomb criterion can predict the apparent strength upper limit of HMX-based PBX and the lower limit of TATB-based PBX, whose upper limit can be predicted by Twin-shear criterion.
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