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Rock Mechanics and Rock Engineering (2023) 56:7357–7375
https://doi.org/10.1007/s00603-023-03426-9
ORIGINAL PAPER
Study onTamped Spherical Detonation‑Induced Dynamic Responses
ofRock andPMMA Through Mini‑chemical Explosion Tests
andaFour‑Dimensional Lattice Spring Model
JianjunMa1,2· JinxinZhao1,2· YuexiangLin3,4· JiguanLiang3· JunjieChen1,2· WanxiangChen1,2·
LinchongHuang1,2,3
Received: 8 January 2023 / Accepted: 15 June 2023 / Published online: 5 July 2023
© The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023
Abstract
The dynamic responses of both underground structures and their surrounding geoformations induced by tamped spherical
detonation have been recognised as one of the key topics in both defence engineering and civil engineering. Proper under-
standing and evaluation of tamped detonation-induced particle movement, spherical stress wave propagation/attenuation,
and dynamic crack propagation in geoformations require effective experimental methods and numerical tools. To capture
the main characteristics of the spherical shock waves, including the wave propagation and attenuation, a systematic tamped
spherical detonation test technique on PMMA has been designed in this study. A mini-explosive sphere with a diameter of
4mm is generated to produce a small-scale explosion within the PMMA specimen. To monitor the movement of particles
during explosion, an electronic measurement system consisting of embedded particle velocity sensors and high-intensity
magnetic field generators, has been developed. For the modelling of tamped spherical detonation, a modified multibody
failure criterion, equation of state (EOS), and Johnson–Holmquist–Beissel (JHB) model have been implemented in a four-
dimensional lattice spring model, thus forming an improved JHB-4DLSM model (M-JHB-4DLSM). It is capable of repro-
ducing the effects of large Poisson’s ratios, the strain rate and the high ratio of uniaxial compressive strength to the uniaxial
tensile strength values (UCS/T). The developed M-JHB-4DLSM model has been validated through modelling the dynamic
responses of both granite and PMMA. Results indicate that the dynamic process and fracturing patterns reproduced by
M-JHB-4DLSM are consistent with experimental observations. M-JHB-4DLSM model is then applied to investigate the
impact effects of tunnels subjected to close-in buried blasting.
* Yuexiang Lin
linyx86@mail.sysu.edu.cn
1 School ofCivil Engineering, Sun Yat-Sen University,
Guangzhou510275, China
2 Southern Marine Science andEngineering Guangdong
Laboratory (Zhuhai), Guangdong Key Laboratory
ofOceanic Civil Engineering, Guangdong Research
Centre forUnderground Space Exploitation Technology,
Zhuhai519082, China
3 School ofAeronautics andAstronautics, Shenzhen Campus
ofSun Yat-sen University, Shenzhen518107, China
4 Department ofCivil andEnvironmental Engineering, The
Hong Kong Polytechnic University, HongKong, China
Highlights
• A systematic experimental technique has been developed for the tamped spherical denotation test.
• A M-JHB-4DLSM model has been proposed for more realistic modelling of brittle materials subjected to blasting load.
• The proposed model has been validated through modelling the dynamic responses of both PMMA and granite.
Keywords Tamped spherical detonation experiment· Johnson–Holmquist–Beissel (JHB) model· 4DLSM model·
Dynamic responses· Tunnels
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