Volume 43 Issue 1
Jan.  2023
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LI Kewu, HU Qiushi, ZHENG Xianxu, LI Tao, FU Hua, TANG Wei. A theoretical model of PBXs’ tensile strength based on meso-structure parameters[J]. Explosion And Shock Waves, 2023, 43(1): 013106. doi: 10.11883/bzycj-2021-0514
Citation: LI Kewu, HU Qiushi, ZHENG Xianxu, LI Tao, FU Hua, TANG Wei. A theoretical model of PBXs’ tensile strength based on meso-structure parameters[J]. Explosion And Shock Waves, 2023, 43(1): 013106. doi: 10.11883/bzycj-2021-0514

A theoretical model of PBXs’ tensile strength based on meso-structure parameters

doi: 10.11883/bzycj-2021-0514
  • Received Date: 2021-12-15
  • Rev Recd Date: 2022-09-25
  • Available Online: 2022-12-17
  • Publish Date: 2023-01-05
  • In practical applications, plastic bonded explosive (PBX) explosives are often used as load bearing structural components. Hence, the mechanical strength is an important parameter in PBXs’ design. It is of great interest how to adjust the microscopic characteristics of the material in the manufacturing process to obtain an PBX with the required strength. PBX consists of a large portion of energetic particles with a small portion of binder. Therefore, a large number of randomly distributed microcracks exist inside. Inspired by the successful application of microcrack extension mechanism in the PBXs’ mechanical response simulation in recent years, the theory related to microcrack extension was applied to the strength modeling study. The domain of microcrack growth (DMG) theory was applied to analyze PBXs’ uniaxial tension. The results shows that the increase in tensile load resulted in microcrack extension at different orientation angles, as well as a decrease in the crack interval. Meanwhile, recent studies on the cascading behavior of randomly distributed microcracks show that the crack cascading behavior with each other is controlled by the orientation angle and crack interval of adjacent cracks. The PBX tensile fracture comes from the instable extension of macroscopic cracks, and the macroscopic crack formation and extension both come from the cascading of microcracks. By treating the strength as the minimum load required for catastrophic crack cascade extension, there is a one-to-one correspondence between the strength and the maximum orientation angle of extended crack. Based on the DMG theory, this one-to-one correspondence is expressed as the theoretical model of tensile strength. This theoretical model establishes the connection between the tensile strength and the meso-structure parameters such as stress intensity factor, microcrack diameter and microcrack density. Comparison of tensile strength model predictions with wide temperature range (from –40 ℃ to 45 ℃) experimental data, indicated that this model is capable to describe the PBXs’ tensile strength. Suggestions for the design of strength enhancement of PBXs can be provided by this theoretical model.
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