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A bar explosion model based on continuous-discontinuous element method and its application in blasting excavation
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Yunpeng Lia, b, d, Xinguang Zhud, Dong Chenc, Jun Fuc, Minjie Wena, Yiming Zhanga, b, *
Underground Space | 2026, 27 : 406 - 423
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Underground Space | 2026, 27: 406-423
• Research Paper •
A bar explosion model based on continuous-discontinuous element method and its application in blasting excavation
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Yunpeng Lia, b, d, Xinguang Zhud, Dong Chenc, Jun Fuc, Minjie Wena, Yiming Zhanga, b, *
Affiliations
  • aSchool of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, China
  • bSchool of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou 310018, China
  • cThird Engineering Co., Ltd., China Railway 16th Bureau Group, Huzhou 313002, China
  • dKey Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Published: 2026-04-10 doi: 10.1016/j.undsp.2025.12.004
Outline
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Blasting excavation is widely used in engineering, often involving complex whole layouts. However, the small size of the blasthole and the large size of the three-dimensional (3D) numerical model lead to the large calculation scale of the 3D blasting numerical simulation, which requires considerable calculation time. Typically, a 3D numerical model is simplified into a two-dimensional (2D) numerical model, and a 1/2- or 1/4-scale model can be adopted to reduce the calculation scale. To solve this problem, a one-dimensional bar explosion model is adopted to replace the traditional solid explosion model under the framework of the continuous-discontinuous element method. The detonation pressure is directly distributed to the elements penetrated by the bar, and the volume expansion of the elements is used to calculate the volume expansion attenuation detonation pressure at each stage of detonation, thus avoiding the problem of local mesh refinement. Compared with the solid explosion case, the reliability of the bar explosion model is verified by the propagation of the explosion stress wave, peak explosion pressure, and damage nephogram. In combination with the engineering background, three blasting conditions are simulated, and the optimal one is evaluated based on fracture degree and blast fragment size pass rate.

Bar explosion model  /  Continuous-discontinuous element method (CDEM)  /  Blasting excavation  /  Numerical simulation
Yunpeng Li, Xinguang Zhu, Dong Chen, Jun Fu, Minjie Wen, Yiming Zhang. A bar explosion model based on continuous-discontinuous element method and its application in blasting excavation[J]. Underground Space, 2026 , 27 : 406 -423 . DOI: 10.1016/j.undsp.2025.12.004
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Funding
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  • National Natural Science Foundation of China(52178324)
  • Technical Development Contract of the China Railway 16th Bureau(WQGS-KYJS-2024-001)
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Year 2026 volume 27 Issue 0
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Article Info
doi: 10.1016/j.undsp.2025.12.004
  • Receive Date：2025-07-07
  • Online Date：2026-06-17
  • Published：2026-04-10
Article Data
Affiliations
History
  • Received：2025-07-07
  • Revised：2025-11-10
  • Accepted：2025-12-01
Funding
National Natural Science Foundation of China(52178324)
Technical Development Contract of the China Railway 16th Bureau(WQGS-KYJS-2024-001)
Affiliations
    aSchool of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, China
    bSchool of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou 310018, China
    cThird Engineering Co., Ltd., China Railway 16th Bureau Group, Huzhou 313002, China
    dKey Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Corresponding:

* School of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, China. E-mail address: (Y. Zhang).
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小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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