Interaction mechanism between explosive stress waves and fracture in deep rock mass

Abstract

Under the dynamic-static coupling of explosive shock and high in-situ stress, the failure mechanisms of rocks become more complex. Therefore, this paper establishes a numerical model for blasting in deep fractured rock masses, simulating the evolution process of explosion-induced initiation and propagation of rock fractures in deep environments. The effects of confining pressure, lateral pressure coefficient, and crack inclination angle on rock damage are studied. By analyzing the displacement trend lines, the fracture failure modes are identified, revealing a new co-directional tensile failure mode. Furthermore, the fracture propagation mechanism is investigated from the perspective of dynamic stress intensity factors. The study reveals that the explosive-induced stress waves undergo scattering, reflection, and transmission when passing through fractures, resulting in a complex stress distribution around the fractures. To achieve optimal blasting outcomes in deep rock masses, it is advisable to orient boreholes in alignment with the direction of the maximum stress.

Keywords

deep underground / fracture / dynamic stress intensity factor / rock mechanics / blasting

References

[1] Yu X-j, Shi M, Feng X-t, et al. . Mechanisms of long-term deformation and failure in deep hard fractured rock roadways: A case study on blasting-induced effects. Tunnelling and Underground Space Technology, 2026, 168: 107110 J]

[2] Wang F, He Z-l, Deng J-h, et al. . Investigating stress corrosion-induced rupture behavior using the acoustic emission technique. Theoretical and Applied Fracture Mechanics, 2025, 136: 104843 J]

[3] Huo X-f, Qiu X-y, Shi X-z, et al. . Crack propagation and distribution characteristics of deep-buried rock masses under water-coupled presplit blasting. Engineering Fracture Mechanics, 2025, 329: 111600 J]

[4] Li X-d, Liu K-w, Yang J-c, et al. . Numerical study on the effect of in-situ stress on smoothwall blasting in deep tunnelling. Underground Space, 2023, 11: 96-115 J]

[5] Liu H-l, Huang L-q, Chen J-z, et al. . Research on fracturing behavior and mechanism of multi-empty-hole directional blasting in deep hard rock. Tunnelling and Underground Space Technology, 2025, 165: 106925 J]

[6] Han H-y, Fukuda D, Xie J-b, et al. . Rock dynamic fracture by destress blasting and application in controlling rockbursts in deep underground. Computers and Geotechnics, 2023, 155: 105228 J]

[7] Guo X, Ding C-x, Wei P-j, et al. . Theoretical analysis of the interaction between blasting stress wave and linear interface crack under high in-situ stress in deep rock mass. International Journal of Rock Mechanics and Mining Sciences, 2024, 176: 105723 J]

[8] Kucewicz M, Lukasz M, Baranowski P, et al. . Numerical modeling of blast-induced rock fragmentation in deep mining with 3D and 2D FEM method approaches. Journal of Rock Mechanics and Geotechnical Engineering, 2024, 16(11): 4532-4553 J]

[9] Lu Y, He B-g, Li H-p, et al. . Theoretical and numerical investigation of damage zones in deep tunnels within a layered rock mass under full-face blasting. International Journal of Rock Mechanics and Mining Sciences, 2025, 188: 106053 J]

[10] Guo X, Ding C-x, Wei P-j, et al. . Theoretical analysis of the scattering characteristics of blasting stress waves at an arc-shaped interface crack in a deep rock mass with high in-situ stress. Engineering Fracture Mechanics, 2024, 307: 110280 J]

[11] Yang J-h, Peng C, Ye Z-w, et al. . Study on the efficiency of energy transfer in the blasting with different coupling mediums for deep rock mass excavation. Engineering Fracture Mechanics, 2025, 319: 111048 J]

[12] Mei W-q, Pan P-z, Wang Z-f, et al. . Dynamic responses and failure characteristics of surrounding rock in a deep-buried tunnel with an arbitrary cross-section subjected to blasting P-wave. Computers and Geotechnics, 2025, 186: 107447 J]

[13] Liu C G, Liu S H, Shen C M, et al. . Characterizing segregation in blast rock piles: A deep-learning approach leveraging aerial image analysis. Powder Technology, 2025, 464: 121244 J]

[14] Ma X-m, Chen Z-y, Chen P, et al. . Predicting the utilization factor of blasthole in rock roadways by random forest. Underground Space, 2023, 11: 232-245 J]

[15] Hong Z-x, Tao M, Cui X-j, et al. . Experimental and numerical studies of the blast-induced overbreak and underbreak in underground roadways. Underground Space, 2023, 8: 61-79 J]

[16] Zhang J-w, Wan D-y, Gao W-t, et al. . Numerical study on the dynamic propagation model of cracks from different angles under the effect of circular hole explosion. Applied Sciences, 2023, 13(13): 7955 J]

[17] He C-l, Yang J, Yu Qi. Laboratory study on the dynamic response of rock under blast loading with active confining pressure. International Journal of Rock Mechanics and Mining Sciences, 2018, 102: 101-108 J]

[18] Wang F, Wang M, Zhu Z-m, et al. . Rock dynamic crack propagation behaviour and determination method with improved single cleavage semi-circle specimen under impact loads. Acta Mechanica Solida Sinica, 2020, 33(6): 793-811 J]

[19] Ma G W, An X M. Numerical simulation of blasting-induced rock fractures. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(6): 966-975 J]

[20] Shu Y, Zhu Z-m, Wang M, et al. . Parameter calibration of the tensile-shear interactive damage constitutive model for sandstone failure. Journal of Rock Mechanics and Geotechnical Engineering, 2024, 16(4): 1153-1174 J]

[21] Wang H-c, Wang Z-l, Wang J-g, et al. . Effect of confining pressure on damage accumulation of rock under repeated blast loading. International Journal of Impact Engineering, 2021, 156: 103961 J]

[22] Zhang Z-y, Zhang N, Shimada H, et al. . Optimization of hard roof structure over retained goaf-side gateroad by pre-split blasting technology. International Journal of Rock Mechanics and Mining Sciences, 2017, 100: 330-337 J]

[23] Gao W-t, Zhu Z-m, Wang M, et al. . Investigation of the influence of non-uniform strain zone on the crack propagation of PMMA material based on 2D-DIC. International Journal of Impact Engineering, 2025, 196: 105159 J]

[24] Shibanuma K, Yanagimoto F, Namegawa T, et al. . Modeling of brittle crack propagation/arrest behavior in steel plates. Procedia Structural Integrity, 2016, 2: 2598-2605 J]

[25] Lee J, Hong J W. Dynamic crack branching and curving in brittle polymers. International Journal of Solids and Structures, 2016, 100–101: 332-340 J]

[26] Zhu Z-m, Xie H-p, Mohanty B. Numerical investigation of blasting-induced damage in cylindrical rocks. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(2): 111-121 J]

[27] Rossmanith H P, Shukla A. Dynamic photoelastic investigation of interaction of stress waves with running cracks. Experimental Mechanics, 1981, 21(11): 415-422 J]

[28] Li M, Zhu Z-m, Liu R-f, et al. . Study of the effect of empty holes on propagating cracks under blasting loads. International Journal of Rock Mechanics and Mining Sciences, 2018, 103: 186-194 J]

[29] HE Cheng-long, YANG Jun. Dynamic crack propagation of granite subjected to biaxial confining pressure and blast loading [J]. Latin American Journal of Solids and Structures, 2018, 15(6). DOI: https://doi.org/10.1590/1679-78254463.

[30] Yang L-y, Yang R-s, Qu G-l, et al. . Caustic study on blast-induced wing crack behaviors in dynamic-static superimposed stress field. International Journal of Mining Science and Technology, 2014, 24(4): 417-423 J]

[31] Jenabidehkordi A, Fu X-l, Rabczuk T. An open source peridynamics code for dynamic fracture in homogeneous and heterogeneous materials. Advances in Engineering Software, 2022, 168: 103124 J]

[32] Prabhu S, Qiu T. Modeling of sand particle crushing in split Hopkinson pressure bar tests using the discrete element method. International Journal of Impact Engineering, 2021, 156: 103974 J]

[33] Wan D-y, Wang M, Zhu Z-m, et al. . Coupled GIMP and CPDI material point method in modelling blast-induced three-dimensional rock fracture. International Journal of Mining Science and Technology, 2022, 32(5): 1097-1114 J]

[34] Zhang Y-m, Huang J-g, Yuan Y, et al. . Cracking elements method with a dissipation-based arc-length approach. Finite Elements in Analysis and Design, 2021, 195: 103573 J]

[35] Zou M, Zhu Z-m, Wang M, et al. . Study on the propagation behavior of parallel fractures in deep rock masses under explosive loading. Fatigue & Fracture of Engineering Materials & Structures, 2025, 48(11): 4879-4892 J]

[36] Dehghan Banadaki M M, Mohanty B. Numerical simulation of stress wave induced fractures in rock. International Journal of Impact Engineering, 2012, 40–41: 16-25 J]

[37] Kong X-z, Fang Q, Chen L, et al. . A new material model for concrete subjected to intense dynamic loadings. International Journal of Impact Engineering, 2018, 120: 60-78 J]

[38] Jiang X-d, Xue Y-g, Kong F-m, et al. . Dynamic responses and damage mechanism of rock with discontinuity subjected to confining stresses and blasting loads. International Journal of Impact Engineering, 2023, 172: 104404 J]

[39] Xie L X, Lu W B, Zhang Q B, et al. . Analysis of damage mechanisms and optimization of cut blasting design under high in-situ stresses. Tunnelling and Underground Space Technology, 2017, 66: 19-33 J]

[40] Jayasinghe L B, Shang J-l, Zhao Z-y, et al. . Numerical investigation into the blasting-induced damage characteristics of rocks considering the role of in-situ stresses and discontinuity persistence. Computers and Geotechnics, 2019, 116: 103207 J]

[41] Li X-h, Zhu Z-m, Wang M, et al. . Influence of blasting load directions on tunnel stability in fractured rock mass. Journal of Rock Mechanics and Geotechnical Engineering, 2022, 14(2): 346-365 J]

[42] Li X-d, Liu K-w, Sha Y-y, et al. . Numerical investigation on rock fragmentation under decoupled charge blasting. Computers and Geotechnics, 2023, 157: 105312 J]

[43] Liu K-w, Li X-d, Hao H, et al. . Study on the raising technique using one blast based on the combination of long-hole presplitting and vertical crater retreat multiple-deck shots. International Journal of Rock Mechanics and Mining Sciences, 2019, 113: 41-58 J]

[44] Li X-h, Zhu Z-m, Wang M, et al. . Numerical study on the behavior of blasting in deep rock masses. Tunnelling and Underground Space Technology, 2021, 113: 103968 J]

[45] de Hoop A T. Representation theorems for the displacement in an elastic solid and their application to elastodynamic diffraction theory, 1958, Delft, Delft University of Technology [D]

[46] Zhang X-p, Wong L N Y. Displacement field analysis for cracking processes in bonded-particle model. Bulletin of Engineering Geology and the Environment, 2014, 73(1): 13-21 J]

[47] Dong Y-q, Zhu Z-m, Yu L-y, et al. . Investigation of dynamic fracture in VASCT samples under the effect of different loading modes. Theoretical and Applied Fracture Mechanics, 2022, 119: 103321 J]

[48] Backers T, Stephansson O. ISRM suggested method for the determination of mode II fracture toughness. Rock Mechanics and Rock Engineering, 2012, 45(6): 1011-1022 J]

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