Abstract
It is important to investigate the dynamic behaviors of deep rocks near explosion cavity to reveal the mechanisms of deformations and fractures. Some improvements are carried out for Grigorian model with focuses on the dilation effects and the relaxation effects of deep rocks, and the high pressure equations of states with Mie-Grüneisen form are also established. Numerical calculations of free field parameters for deep underground explosions are carried out based on the user subroutines which are compiled by means of the secondary development functions of LS-DYNA9703D software. The histories of radial stress, radial velocity and radial displacement of rock particles are obtained, and the calculation results are compared with those of U.S. Hardhat nuclear test. It is indicated that the dynamic responses of free field for deep underground explosions are well simulated based on improved Grigorian model, and the calculation results are in good agreement with the data of U.S. Hardhat nuclear test. The peak values of particle velocities are consistent with those of test, but the waveform widths and the rising times are obviously greater than those without dilation effects. The attenuation rates of particle velocities are greater than the calculation results with classic plastic model, and they are consistent with the results of Hardhat nuclear test. The attenuation behaviors and the rising times of stress waves are well shown by introducing dilation effects and relaxation effects into the calculation model. Therefore, the defects of Grigorian model are avoided. It is also indicated that the initial stress has obvious influences on the waveforms of radial stress and the radial displacements of rock particles.
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GE Tao, WANG Ming-yang. Characters near strong impact loading zone in hard rock [J]. Explosion and Shock Waves, 2007, 27(7): 306–311. (in Chinese)
QI Cheng-zhi, QIAN Qi-hu. Basic problem of dynamic deformation and fracture of rock mass [M]. Bei**g: Science Press, 2009: 65–90. (in Chinese)
QIAN Qi-hu. The characteristic scientific phenomena of engineering response to deep rock mass and implication deepness [J]. Journal of East China Institute of Technology, 2004, 27(1): 1–5. (in Chinese)
WANG Ming-yang, GE Tao, QI Cheng-zhi, QIAN Qi-hu. Study of deformation and failure of rock under explosion load (Part I) [J]. Journal of Disaster Prevention and Mitigation Engineering, 2003, 23(2): 43–53. (in Chinese)
KIPP M E, GRADY D E. Numerical study of rock fragmentation [R]. SAND-79-1582, 1980.
GRADY D E, KIPP M E. Geometric statistics about dynamic fragmentation [J]. J Appl Phys, 1985, 58(3): 1210–1222.
GRIGORIAN C C. Elasto-plastic model about general soils [J]. PMM, 1960, 24(6): 1057–1072. (in Russian)
FAN **n. Study on deformation and dynamic damage effects of deep rock [D]. Nan**g: PLA University of Science and Technology, 2006. (in Chinese)
STAVROGIN A H, PROTOSENYA A G. Mechanics of deformation for mountain rocks [M]. Moscow: Nedra, 1992: 72–101. (in Russian)
CHEN Wan-xiang, WANG Ming-yang, QIAN Yue-hong, FANG Ying-guang, WU Hao. Dynamic model and numerical simulation for hard rock near explosion cavity [J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(z1): 3091–3097. (in Chinese)
TAN Tjong-kie. Rockbursts, case records, theory and control [J]. Chinese Journal of Rock Mechanics and Engineering, 1987, 6(1): 1–18. (in Chinese)
TAN Tjong-kie. Tunnelling in complex rock formations in China-Importance of geotectonic stress and time effects [J]. Chinese Journal of Rock Mechanics and Engineering, 1988, 7(1): 1–14. (in Chinese)
SEDOV L I. Continuum mechanics [M]. Translated by LI Zhi. Bei**g: Higher Education Press, 2007: 102–117. (in Chinese)
KILMISTER C W, REEVE J E. Rational Mechanics [M]. New York: American Elsevier Pub Co, 1966: 84–92.
TAN Tjongkie, SHI Zhe-quan, YU Zhi-hai, WU **ang-yang. Dilatancy creep and relaxation of brittle rocks measured with 8000KN multipurpose triaxial apparatus [J]. Chinese Journal of Rock Mechanics and Engineering, 1989, 8(2): 97–118. (in Chinese)
WANG Ming-yang, WANG Li-yun, QI Cheng-zhi, QIAN Qi-hu. Study of deformation and failure of rock under explosion load (Part II) [J]. Journal of Disaster Prevention and Mitigation Engineering, 2003, 23(3): 9–20. (in Chinese)
CHEN Wan-xiang. Dynamic model and deformation & failure mechanism of deep rock under explosion load [D]. Guangzhou: South China University of Technology, 2013. (in Chinese)
LI Jie, WANG Ming-yang, FAN Peng-xian, SHI Cun-cheng. Study of loading-unloading states and energy distribution relationship for rock mass [J]. Rock and Soil Mechanics, 2012, 33(Supp2): 125–132. (in Chinese)
SHEN Cheng-kang. Fracture mechanics [M]. Shanghai: Tongji University Press, 1996: 20–63. (in Chinese)
QI Cheng-zhi. Deformation & failure mechanism of rock medium under strong impact [D]. Nan**g: PLA University of Science and Technology, 2002.
GAO Zhan-peng. Real material state equations under explosion and impact [J]. Mechanics Progress, 1991, 21(2): 176–188. (in Chinese)
BAI **-ze. The theory and analysis of example for LS-DYNA3D [M]. Bei**g, Science Press, 2005: 104–123. (in Chinese)
CHEN Wan-xiang, GUO Zhi-kun, YUAN Zheng-ru, CUI Wen-li. Artificial boundary for seismic analysis and its applications in LS-DYNA [J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 12(z2): 3504–3515. (in Chinese)
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Foundation item: Project(51378498) supported by the National Natural Science Foundation of China; Project(BK20141066) supported the Natural Science Foundation of Jiangsu Province, China; Project(SKLGDUEK1208) supported by State Key Laboratory for GeoMechanics and Deep Underground Engineering (China University of Mining & Technology), China; Project(DPMEIKF201301) supported by State Key Laboratory of Disaster Prevention & Mitigation of Explosion & Impact (PLA University of Science and Technology), China
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Chen, Wx., Fan, X., Guo, Zk. et al. Dynamic responses of deep underground explosions based on improved Grigorian model. J. Cent. South Univ. 22, 323–331 (2015). https://doi.org/10.1007/s11771-015-2525-7
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DOI: https://doi.org/10.1007/s11771-015-2525-7