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推导了一维轴对称(切向爆轰)破片速度半经验公式,式中考虑了爆轰产物残余内能、金属塑性变形能和空气击波能,用30种炸药的47组实验数据确定式中的系数,公式适用于不同炸药、装药密度和质量比。计算的破片速度和实验值的一致性较好,置信度0.9时,置信区间为0.0012±0.0201毫米/微秒。 用同样方法得到了一维平面(切向爆轰)破片速度半经验公式,用4种炸药92组实验数据确定式中的系数。计算的破片速度和实验值的一致性较好,置信度0.9时,置信区间为-0.006±0.0143毫米/微秒。 最后,用一维不定常流动解讨论了Gurney假定。
The semi-empirical formula of the one-dimensional axial symmetry (tangential detonation) fragment velocity is deduced. The residual internal energy, metal plastic deformation energy and airwave energy of the detonation product are taken into account. In the coefficient, the formula applies to different explosives, charge density and mass ratio. The calculated fragment velocity is in good agreement with the experimental values, with a confidence interval of 0.9 and a confidence interval of 0.0012 ± 0.0201 mm / μsec. A half-empirical formula of one-dimensional plane (tangential detonation) fragment velocity was obtained by the same method. The coefficients of the formula were determined by experimental data of 92 groups of four explosives. The calculated fragment velocity is in good agreement with the experimental data. The confidence interval is -0.006 ± 0.0143 mm / μsec with a confidence level of 0.9. Finally, the Gurney hypothesis is discussed using a one-dimensional unsteady flow solution.