CHINESE JOURNAL OF ENERGETIC MATERIALS
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TATB基PBX双曲Drucker-Prager强度准则适用性分析
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中国工程物理研究院化工材料研究所

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国家自然科学基金资助(11604309)


Applicability Analysis of Hyperbolic Drucker-Prager Strength Criterion for TATB-based PBX
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Institute of Chemical Materials, CAEP, Mianyang 621999, China

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    摘要:

    为准确建立三氨基三硝基苯(TATB)基高聚物粘接炸药(PBX)材料的强度准则,通过自主研制的主动围压试验机获取了不同温度(22.5,35,50 ℃),不同围压(0~10 MPa)下材料的强度;根据单轴拉伸、单轴压缩以及围压压缩实验数据,采用传统Drucker-Prager(D-P)以及双曲D-P强度准则分别建立了不同温度下TATB基PBX材料的强度模型,并分析了其对于强度实验数据的预测精度。结果表明,双曲D-P强度准则对于22.5,35,50 ℃下强度实验数据的预测相对误差最大分别为2.41%,3.46%,5.22%,均方根误差分别为0.42,0.38,0.44 MPa,优于传统D-P强度准则结果;对于间接三轴拉伸和压缩破坏应力状态的预测,其相对误差分别为4.93%和12.14%,总体上均优于传统D-P、Mohr-Column、双剪以及单轴强度准则。考虑中主应力影响且处处正则的双曲D-P强度准则能准确预测不同温度下TATB基PBX材料的强度特性。

    Abstract:

    To accurately establish the strength criterion of TATB-based PBX materials, the strength data under different confining pressures (0-10 MPa) and different temperatures (22.5, 35, 50 ℃) were obtained through the self-developed active confining pressure tester. Based on the experimental data of uniaxial tension, uniaxial compression and confining pressure compression, traditional Drucker-Prager(D-P) and hyperbolic D-P strength criteria were used to establish the strength model of TATB-based PBX at different temperatures, and the prediction accuracy for experimental strength data was analyzed. Results show that the maximum relative errors of the hyperbolic D-P strength criterion at 22.5, 35 ℃ and 50 ℃ are 2.41%, 3.46% and 5.22%, respectively, and the root mean square errors are 0.42, 0.38 MPa, and 0.44 MPa, respectively, which are better than those of the traditional D-P strength criterion. The relative errors for the prediction of indirect triaxial tensile and compressive failure stress are 4.93% and 12.14% respectively and they are superior to the traditional D-P, Mohr-Column, twin shear and uniaxial strength criteria. The hyperbolic D-P strength criterion of considering the influence of middle principal stress and being everywhere regular, can accurately predict the strength characteristics of TATB-based PBX materials at different temperatures.

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引用本文

袁洪魏,赵龙,董天宝,等. TATB基PBX双曲Drucker-Prager强度准则适用性分析[J].含能材料, 2019, 27(1):74-78. DOI:10.11943/CJEM2018102.
YUAN Hong-wei, ZHAO Long, DONG Tian-bao, et al. Applicability Analysis of Hyperbolic Drucker-Prager Strength Criterion for TATB-based PBX[J]. Chinese Journal of Energetic Materials, 2019, 27(1):74-78. DOI:10.11943/CJEM2018102.

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历史
  • 收稿日期: 2018-04-18
  • 最后修改日期: 2018-10-10
  • 录用日期: 2018-06-20
  • 在线发布日期: 2018-09-06
  • 出版日期: 2019-01-25