基于分形理论不同装药量的爆破动焦散线实验研究

摘要
图/表
参考文献(25)
相关文章 (15)

全文: PDF (1623 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

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。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	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

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

收稿日期: 2019-04-03 出版日期: 2020-07-15

引用本文:

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. 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. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(14): 80-86.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I14/80

[1] Yu L, Su H, Jing H, et al. Experimental study of the mechanical behavior of sandstone affected by blasting[J]. International Journal of Rock Mechanics and Mining Sciences, 2017, 93:234-241.
[2] 张继春. 三峡工程基岩爆破振动特性的试验研究[J]. 爆炸与冲击, 2001, 21(2):131-137.
ZHANG Jichun. Vibration characteristics of blasting in bed rock mass at sanxia project[J]. Explosion and Shock Waves, 2001, 21(2):131-137.
[3] 夏祥,石永强,李海波,等.岩体单孔及群孔齐发爆破爆炸荷载数值分析[J]. 岩石力学与工程学报, 2007, 26(A01):3390-3396.
XIA Xiang, SHI Yongqiang, LI Haibo, et al. Numerical analysis of explosive load of single-hole blasting and multiple-hole simultaneous blasting in rockmass[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(A01):3390-3396.
[4] MANOGG P. Anwendung der schattenoptik zur untersuchung des zerreissvorgangs von platten[D]. West Germany:University of Freiburg, 1964.
[5] Yao X F, Xu W, Xu M Q, et al. Experimental study of dynamic fracture behavior of PMMA with overlapping offset-parallel cracks[J]. Polymer Testing, 2003, 22(6):663-670.
[6] 杨仁树,陈程,王煦,等. 不同直径空孔对爆生裂纹扩展行为影响规律的实验研究[J]. 煤炭学报,2017,42(10):2498-2503.
YANG Renshu, CHEN CHENG, WANG XU, et al. Experimental investigation on the influence of different diameter empty holes on the crack growth behavior of blasting[J]. Journal of China Coal Society, 2017,42(10):2498-2503.
[7] 杨仁树,丁晨曦,杨立云,等.含缺陷PMMA介质的定向断裂控制爆破试验研究[J]. 岩石力学与工程学报, 2017(03):175-181.
YANG Renshu, DING Chenxi,YANG Liyun, et al. Experimental study on controlled directional fracture blasting on PMMA mediums with flaws[J]. Chinese Journal of Rock Mechanics and Engineering, 2017(03):175-181.
[8] 岳中文, 郭洋, 王煦. 切槽孔爆炸载荷下裂纹扩展行为的实验研究[J]. 岩石力学与工程学报, 2015(10):2018-2026.
YUE Zhongwen, GUO Yang, WANG Xu. Experimental study of crack propagation under blasting load in notched boreholes[J]. Chinese Journal of Rock Mechanics and Engineering, 2015(10):2018-2026.
[9] MANDELBROT B B, WHEELER J A. The Fractal Geometry of Nature[J]. American Journal of Physics, 1998, 51(4):468 p.
[10] 谢和平. 分形:岩石力学导论[M]. 科学出版社, 1996.
[11] 周宏伟, 谢和平. 岩石节理张开度的分形描述[J]. 水文地质工程地质, 1999(1):1-4.
ZHOU Hongwei, XIE Heping. The fractal description on the opening of a rock fracture[J]. Hydrogeology and Engineering Geology, 1999(1):1-4.
[12] Ju Y, Xi C, Zhang Y, et al. Laboratory In Situ CT Observation of the Evolution of 3D Fracture Networks in Coal Subjected to Confining Pressures and Axial Compressive Loads: A Novel Approach[J]. Rock Mechanics and Rock Engineering, 2018.
[13] 高峰, 谢和平, 巫静波. 岩石损伤和破碎相关性的分形分析[J]. 岩石力学与工程学报, 1999, 18(5):503-503.
GAO Feng, XIE Heping, WU Jingbo. Fractal analysis of the relation between rock damage and rock fragmentation[J]. Chinese Journal of Rock Mechanics and Engineering, 1999, 18(5):503-503.
[14] 杨军, 王树仁. 岩石爆破分形损伤模型研究[J]. 爆炸与冲击, 1996, 16(1):5-10.
YANG Jun, WANG Shuren. Study on fractal damage model of rock fragmentation by blasting[J]. Explosion and Shock Waves, 1996, 16(1):5-10.
[15] KALTHOFF J F,WINKLER S,BEINERT J.Dynamic stress intensity factors for arresting cracks in DCB specimens[J]. International Journal of Fracture, 1976, 12(2):317-319.
[16] ROSSMANITH H,DAEHNKE A,NASMILLNER R,et al. Fracture mechanics applications to drilling and blasting[J]. Fatigue and Fracture of Engineering Materials and Structures,1997,20(11) :1617–1636.
[17] LAGARDE A . Static and dynamic photoelasticity and caustics recent developments[M].Static and Dynamic Photoelasticity and Caustics. Springer Vienna, 1987.
[18] 彭瑞东,谢和平,鞠杨.二维数字图像分形维数的计算方法[J].中国矿业大学学报,2004(01):22-27.
PENG Ruidong, XIE Heping, JU Yang. Computation method of fractal dimension for 2-D digital image[J], Journal of China University of Mining & Technology,2004(01):22-27.
[19] Li M, Zhu Z M, Liu R F, et al. Study of the effect of empty holes on propagating cracks under blasting loads[J]. International Journal of Rock Mechanics & Mining Sciences, 2018, 103:186-194.
[20] Yue Z W, Yang L Y, Wang Y B. Experimental study of crack propagation in polymethyl methacrylate material with double holes under the directional controlled blasting[J]. Fatigue & Fracture of Engineering Materials & Structures, 2013, 36(8):827-833.
[21] 张奇, 杨永琦. 岩石爆破作用的分形研究[J]. 岩土工程学报, 1997, 19(2):11-16.
ZHANG Qi,YANG Yongqi. Fractal study on blasting effect in rock[J]. Rock and Soil Mechanics, 1997, 19(2):11-16.
[22] 杨仁树, 许鹏. 爆炸作用下介质损伤破坏的分形研究[J]. 煤炭学报, 2017, 42(12):3065-3071.
YANG Renshu, XU Peng. Fractal study of media damage under blasting loading[J] . Journal of China Coal Society, 2017, 42(12):3065-3071.
[23] Zhu Z, Mohanty B, Xie H. Numerical investigation of blasting-induced crack initiation and propagation in rocks[J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(3):412-424.
[24] 岳中文,宋耀,陈彪,等. 冲击载荷下层状岩体动态断裂行为的模拟试验研究[J]. 振动与冲击,2017,36(12):223-229.
YUE Zhongwen, SONG Yao,CHEN Biao, et al. A study on the behaviors of dynamic fracture in layered rocks under impact loading[J]. Journal of Vibration and Shock,2017,36(12):223-229.
[25] 李清, 于强, 朱各勇,等. 不同药量的切缝药包双孔爆破裂纹扩展规律试验[J]. 岩石力学与工程报,2017,36(09):2205-2212.
LI Qing, YU Qiang, ZHU Geyong, et al. Experimental study of crack propagation under two-hole slotted cartridge blasting with different charge masses[J]. Chinese Journal of Rock Mechanics and Engineering, 017,36(09):2205-2212.