基于分形理论不同装药量的爆破动焦散线实验研究

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (14) : 80-86.

论文

杨仁树1,2，肖成龙1,3，陈程1,3，丁晨曦1,3，郑昌达1,3，赵勇1,3，赵志伟1,3

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Experimental study on the blasting dynamic caustics under different charge weight based on the fractal theory

YANG Renshu1,2，XIAO Chenglong1,3，CHEN Cheng1,3，DING Chenxi1,3，ZHENG Changda1,3，ZHAO Yong1,3，ZHAO Zhiwei1,3

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摘要

为研究装药量对爆生裂纹扩展行为的影响，采用透射式数字激光动态焦散线实验系统，分析了不同装药量的爆生裂纹扩展规律，并基于计盒维数的计算原理，编写MATLAB程序计算爆生裂纹的分形维数。结果表明：(1) 起爆后裂纹扩展分2阶段，I阶段（0 ~ 114.3μs）为爆炸应力波与爆生气体对裂纹尖端的作用，在裂纹的起裂时刻扩展速度达到峰值，随即迅速降低；II阶段（114.3μs~裂纹止裂）在反射应力波对裂纹尖端的作用下，裂纹扩展速度继续提升。(2) 裂纹扩展速度峰值、动态应力强度因子峰值、粉碎区面积、爆生裂纹分形维数与装药量正相关。(3) 采用回归分析与线性拟合的方法，得到了裂纹扩展速度与裂纹扩展轨迹分形维数的线性关系，同一裂纹扩展速度的变化符合分形规律。

Abstract

In order to study the effect of charge on the crack propagation behavior of the crack, a dynamic caustic experiment system was used to study the expansion law of cracks in different charges. Based on the calculation principle of box-counting dimension, the MATLAB program is written to calculate the fractal dimension of the crack. Researches show that: (1) The propagation of cracks have two stages, stage I (0 ~ 114.3μs) is the effect of explosive stress wave and explosive gas on the crack tip, at the moment of crack initiation, the expansion speed reaches a peak and then rapidly decreases; stage II (114.3μs ~ crack arrest) ,the crack propagation speed continues to increase under the action of the reflected stress wave on the crack tip. (2) Crack growth rate peak、dynamic stress intensity factor peak、area of crushing area、fractal dimension of crack is positively correlated with the charge. (3) Through the regression analysis and Linear fitting, the linear relationship between the crack propagation velocity and the fractal dimension of the crack propagation trajectory is obtained. The evolution of the same crack propagation velocity conforms to the fractal law.

Key words

dynamic caustics / explosive loading / crack propagation behavior / charge weight / fractal dimension

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杨仁树1,2，肖成龙1,3，陈程1,3，丁晨曦1,3，郑昌达1,3，赵勇1,3，赵志伟1,3. 基于分形理论不同装药量的爆破动焦散线实验研究[J]. 振动与冲击, 2020, 39(14): 80-86

YANG Renshu1,2，XIAO Chenglong1,3，CHEN Cheng1,3，DING Chenxi1,3，ZHENG Changda1,3，ZHAO Yong1,3，ZHAO Zhiwei1,3. Experimental study on the blasting dynamic caustics under different charge weight based on the fractal theory[J]. Journal of Vibration and Shock, 2020, 39(14): 80-86

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