自由边界影响下定向断裂爆破裂纹尖端应力分布与扩展机理

邱鹏 岳中文

邱鹏, 岳中文. 自由边界影响下定向断裂爆破裂纹尖端应力分布与扩展机理[J]. 高压物理学报, 2024, 38(5): 054104. doi: 10.11858/gywlxb.20240799
引用本文: 邱鹏, 岳中文. 自由边界影响下定向断裂爆破裂纹尖端应力分布与扩展机理[J]. 高压物理学报, 2024, 38(5): 054104. doi: 10.11858/gywlxb.20240799
QIU Peng, YUE Zhongwen. Stress Distribution and Propagation Mechanism of Crack Tip in Directional Fracturing Blasting under the Influence of Free Boundary[J]. Chinese Journal of High Pressure Physics, 2024, 38(5): 054104. doi: 10.11858/gywlxb.20240799
Citation: QIU Peng, YUE Zhongwen. Stress Distribution and Propagation Mechanism of Crack Tip in Directional Fracturing Blasting under the Influence of Free Boundary[J]. Chinese Journal of High Pressure Physics, 2024, 38(5): 054104. doi: 10.11858/gywlxb.20240799

自由边界影响下定向断裂爆破裂纹尖端应力分布与扩展机理

doi: 10.11858/gywlxb.20240799
基金项目: 国家自然科学基金(52204106,52174094);国家重点研发计划(2021YFC2902103);山西省基础研究面上项目(202203021211133)
详细信息
    作者简介:

    邱 鹏(1991-),男,博士,助理研究员,主要从事煤岩爆破断裂研究. E-mail:qiupeng@tyut.edu.cn

    通讯作者:

    岳中文(1975-),男,博士,教授,主要从事岩土工程、爆破工程、采矿工程研究. E-mail:zwyue75@163.com

  • 中图分类号: O389; O521.9

Stress Distribution and Propagation Mechanism of Crack Tip in Directional Fracturing Blasting under the Influence of Free Boundary

  • 摘要: 天然岩体常含自由边界,对定向断裂爆破产生干扰。为探究自由边界对定向断裂爆破的影响,采用爆炸焦散线方法和高速摄影技术,研究了含自由边界时定向爆炸裂纹尖端的应力分布和扩展机理。自由边界的反射P/S波作用于定向爆炸裂纹,改变了裂尖应力分布,产生了“弧线形”裂纹扩展路径。定向爆炸裂纹扩展可分为3个阶段。(1) 反射波作用前:裂尖受爆生气体“气楔”作用,产生Ⅰ型断裂,并沿直线扩展。(2) 反射波作用时:反射P/S波均使裂尖受张拉-剪切作用,产生Ⅰ-Ⅱ复合型断裂,裂纹偏转趋向自由边界;在反射P波的作用下裂尖产生畸变焦散斑,裂尖应力由K场主导变为非K场主导,而在反射S波的作用下裂尖应力恢复为K场主导。(3) 反射波作用后:裂尖在惯性作用下恢复为Ⅰ型断裂,沿直线扩展。在明确反射P/S波对定向爆炸裂纹作用的基础上,推导了自由边界影响下定向断裂爆破炮孔间距的计算公式,可为精细化定向断裂爆破提供理论参考。

     

  • 图  试件的示意图:(a) 试件尺寸,(b) 切缝药包

    Figure  1.  Schematic diagram of the specimen: (a) size of the specimen; (b) slotted cartridge

    图  爆炸焦散线实验系统

    Figure  2.  Blasting caustics experimental setup

    图  经典的焦散斑方法测量应力强度因子:(a) Ⅰ型焦散斑,(b) Ⅰ-Ⅱ复合型焦散斑,(c) 焦散斑尺寸比例,(d) δTδLmax

    Figure  3.  Classical stress intensity factor measurement by caustics patterns: (a) mode Ⅰ caustics pattern; (b) mixed Ⅰ-Ⅱ mode caustics pattern; (c) ratio of caustics pattern size; (d) δT and δLmax

    图  爆炸后裂纹路径:(a) 爆后试件S1,(b) 爆后试件S2,(c) 4条定向爆炸裂纹路径

    Figure  4.  Crack path after blasting: (a) specimen S1 after blasting; (a) specimen S2 after blasting;(c) paths of four directional blast-induced cracks

    图  反射波作用前:(a) 爆炸焦散斑图像,(b) t=30 μs时C1裂纹尖端“圆形”焦散斑,(c) t=40 μs时C1裂纹尖端“椭圆形”焦散斑

    Figure  5.  Before action of reflected waves: (a) blast-induced caustics patterns; (b) circle caustics pattern at the tip of crack C1 at 30 μs; (c) ellipse caustics pattern at the tip of crack C1 at 40 μs

    图  反射P波作用时:(a) 爆炸焦散斑图像,(b) t=50 μs时C1裂纹尖端的“椭圆形”焦散斑,(c) t=60 μs时C2裂纹尖端的Ⅰ-Ⅱ复合型焦散斑

    Figure  6.  Under action of reflected P wave: (a) blast-induced caustics patterns; (b) ellipse caustics pattern at the tip of crack C1 at 50 μs; (c) mixed Ⅰ-Ⅱ mode caustics pattern at the tip of crack C2 at 60 μs

    图  反射S波作用时:(a) 爆炸焦散斑图像,(b) t=70 μs 时C1裂纹尖端的Ⅰ-Ⅱ复合型焦散斑,(c) t=70 μs时C2裂纹尖端的Ⅰ-Ⅱ复合型焦散斑

    Figure  7.  Under action of reflected S wave: (a) blast-induced caustics patterns; (b) mixed Ⅰ-Ⅱ mode caustics pattern at the tip of crack C1 at 70 μs; (c) mixed Ⅰ-Ⅱ mode caustics pattern at the tip of crack C2 at 70 μs

    图  反射波作用后:(a) 爆炸焦散斑图像,(b) t=110 μs 时C1裂纹尖端Ⅰ型焦散斑,(c) t=120 μs 时C1裂纹尖端的Ⅰ型焦散斑

    Figure  8.  After action of reflected waves: (a) blast-induced caustics patterns; (b) mode Ⅰ caustics pattern at the tip of crack C1 at 110 μs; (c) mode Ⅰ caustics pattern at the tip of crack C1 at 120 μs

    图  定向爆炸裂纹尖端应力强度因子:(a) Ⅰ型应力强度因子K,(b) Ⅱ型应力强度因子K(RP和RS分别代表反射P波和反射S波)

    Figure  9.  Stress intensity factors of directional blast-induced cracks: (a) mode Ⅰ stress intensity factor K; (b) mode Ⅱ stress intensity factor K (RP and RS represent reflected P and S waves, respectively.)

    图  10  定向爆炸裂纹扩展结果:(a) 裂纹扩展速度,(b) 裂纹扩展速度与K的正相关性

    Figure  10.  Results of directional blast-induced crack propagation : (a) crack propagation velocity; (b) positive correlation between crack propagation velocity and K

    图  11  定向断裂爆破炮孔间距计算示意图

    Figure  11.  Schematic diagram of borehole spacing calculation for directional fracturing blasting

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出版历程
  • 收稿日期:  2024-04-22
  • 修回日期:  2024-05-15
  • 网络出版日期:  2024-08-29
  • 刊出日期:  2024-09-29

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