Identification of stress thresholds for crack propagation of rock under quasi-static and dynamic loadings

LI Diyuan; ZHOU Aohui; CHEN Yuda; MA Jinyin

doi:10.11883/bzycj-2023-0065

Volume 43 Issue 10

Oct. 2023

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LI Diyuan, ZHOU Aohui, CHEN Yuda, MA Jinyin. Identification of stress thresholds for crack propagation of rock under quasi-static and dynamic loadings[J]. Explosion And Shock Waves, 2023, 43(10): 103102. doi: 10.11883/bzycj-2023-0065

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LI Diyuan, ZHOU Aohui, CHEN Yuda, MA Jinyin. Identification of stress thresholds for crack propagation of rock under quasi-static and dynamic loadings[J]. Explosion And Shock Waves, 2023, 43(10): 103102. doi: 10.11883/bzycj-2023-0065

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Identification of stress thresholds for crack propagation of rock under quasi-static and dynamic loadings

doi: 10.11883/bzycj-2023-0065

School of Resources and Safety Engineering, Central South University, Changsha 410083, Hunan, China

Received Date: 2023-02-21
Rev Recd Date: 2023-04-28
Publish Date: 2023-10-27

Abstract

Abstract

The identification of stress threshold for crack propagation of rock under compressive loading is an important issue for understanding the progressive damage process and analyzing the macroscopic damage mechanism of rocks. In order to accurately identify the stress threshold of brittle hard rock under quasi-static and dynamic compressive loads, uniaxial and dynamic compression tests were carried out for three kinds of rock specimens (including marble, coarse granite and fine granite) by using an INSTRON 1346 and a split Hopkinson pressure bar (SHPB) system. Two deformation parameters were introduced in the paper, including crack axial strain and crack radial area strain. According to the slope difference of the crack radial area strain curves at the failure point, the three kinds of rocks were classified into type Ⅰ (marble) and type Ⅱ (coarse granite and fine granite) rocks. The testing results indicate that the crack axial strain curves and crack axial strain stiffness curves can be used to accurately identify the crack stability propagation stress σ_sd, crack instability propagation stress σ_usd and the crack connectivity stress σ_ct under quasi-static compressive loading for type Ⅰ and type Ⅱ rocks respectively. It is proved that the stress thresholds of type Ⅰ and type Ⅱ rocks can be identified only by using the axial strain data. The method based on crack axial strain is extended to identify the stress threshold of rock under dynamic impact loading. It solves the problem to identify the stress threshold of rock specimens under dynamic compressive loading. Different from the stress threshold of rock under quasi static loading, it is found that the ratio of the crack stability propagation stress to the peak strength of the rock decreases under dynamic loading. The crack instability propagation stress and the crack connectivity stress coincide with each other, and the ratio to the peak strength also decreases. When the specimen is failed under dynamic loading, it usually generates more penetrating cracks and more fragments than that under quasi-static loading.
- crack propagation,
- stress threshold identification,
- crack axial strain,
- dynamic impact loading,
- crack radial area strain

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References

[1]	李地元, 陈昱达. 单轴压缩下岩石裂纹扩展应力阈值识别与验证 [J]. 岩石力学与工程学报, 2023, 42(S1): 3121–3130. DOI: 10.13722/j.cnki.jrme.2022.0232. LI D Y, CHEN Y D. Identification and verification of stress threshold for rock crack propagation under uniaxial compression [J]. Chinese Journal of Rock Mechanics and Engineering, 2023, 42(S1): 3121–3130. DOI: 10.13722/j.cnki.jrme.2022.0232.
[2]	WU C, GONG F Q, LUO Y. A new quantitative method to identify the crack damage stress of rock using AE detection parameters [J]. Bulletin of Engineering Geology and the Environment, 2021, 80(1): 519–531. DOI: 10.1007/s10064-020-01932-6.
[3]	PEPE G, MINEO S, PAPPALARDO G, et al. Relation between crack initiation-damage stress thresholds and failure strength of intact rock [J]. Bulletin of Engineering Geology and the Environment, 2018, 77(2): 709–724. DOI: 10.1007/s10064-017-1172-7.
[4]	CHEN C S, FAN P X, LI W P. Experimental study on the crack initial stress and the crack damage stress of red sandstone under different strain rate conditions [J]. Advanced Materials Research, 2011, 287/288/289/290: 1221–1226.
[5]	DIEDERICHS M S, KAISER P K, EBERHARDT E. Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(5): 785–812. DOI: 10.1016/j.ijrmms.2004.02.003.
[6]	张超, 曹文贵, 徐赞, 等. 岩石初始宏观变形模拟及微裂纹闭合应力确定方法 [J]. 岩土力学, 2018, 39(4): 1281–1288, 1301. DOI: 10.16285/j.rsm.2016.0863. ZHANG C, CAO W G, XU Z, et al. Initial macro-deformation simulation and determination method of micro-crack closure stress for rock [J]. Rock and Soil Mechanics, 2018, 39(4): 1281–1288, 1301. DOI: 10.16285/j.rsm.2016.0863.
[7]	MARTIN C D. The strength of massive Lac du bonnet granite around underground openings [D]. Winnipeg: University of Manitoba, 1993: 71–84.
[8]	EBERHARDT E. Brittle rock fracture and progressive damage in uniaxial compression [D]. Saskatoon: University of Saskatchewan, 1998: 64–79.
[9]	CAI M, KAISER P K, TASAKA Y, et al. Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(5): 833–847. DOI: 10.1016/j.ijrmms.2004.02.001.
[10]	EBERHARDT E, STEAD D, STIMPSON B, et al. Identifying crack initiation and propagation thresholds in brittle rock [J]. Canadian Geotechnical Journal, 1998, 35(2): 222–233. DOI: 10.1139/t97-091.
[11]	BRACE W F, PAULDING B W JR, SCHOLZ C. Dilatancy in the fracture of crystalline rocks [J]. Journal of Geophysical Research, 1966, 71(16): 3939–3953. DOI: 10.1029/JZ071i016p03939.
[12]	MARTIN C D, CHANDLER N A. The progressive fracture of Lac du Bonnet granite [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1994, 31(6): 643–659. DOI: 10.1016/0148-9062(94)90005-1.
[13]	彭俊, 蔡明, 荣冠, 等. 裂纹闭合应力及其岩石微裂纹损伤评价 [J]. 岩石力学与工程学报, 2015, 34(6): 1091–1100. DOI: 10.13722/j.cnki.jrme.2014.1151. PENG J, CAI M, RONG G, et al. Stresses for crack closure and its application to assessing stress-induced microcrack damage [J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(6): 1091–1100. DOI: 10.13722/j.cnki.jrme.2014.1151.
[14]	NICKSIAR M, MARTIN C D. Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks [J]. Rock Mechanics and Rock Engineering, 2012, 45(4): 607–617. DOI: 10.1007/s00603-012-0221-6.
[15]	LI D Y, LI C C, LI X B. Influence of sample height-to-width ratios on failure mode for rectangular prism samples of hard rock loaded in uniaxial compression [J]. Rock Mechanics and Rock Engineering, 2011, 44(3): 253–267. DOI: 10.1007/s00603-010-0127-0.
[16]	KIM J S, LEE K S, CHO W J, et al. A comparative evaluation of stress-strain and acoustic emission methods for quantitative damage assessments of brittle rock [J]. Rock Mechanics and Rock Engineering, 2015, 48(2): 495–508. DOI: 10.1007/s00603-014-0590-0.
[17]	ZHAO X D, DENG L, XU J T. Defining stress thresholds of granite failure process based on acoustic emission activity parameters [J]. Shock and Vibration, 2020, 2020: 8812066. DOI: 10.1155/2020/8812066.
[18]	董陇军, 张义涵, 孙道元, 等. 花岗岩破裂的声发射阶段特征及裂纹不稳定扩展状态识别 [J]. 岩石力学与工程学报, 2022, 41(1): 120–131. DOI: 10.13722/j.cnki.jrme.2021.0637. DONG L J, ZHANG Y H, SUN D Y, et al. Stage characteristics of acoustic emission and identification of unstable crack state for granite fractures [J]. Chinese Journal of Rock Mechanics and Engineering, 2022, 41(1): 120–131. DOI: 10.13722/j.cnki.jrme.2021.0637.
[19]	安定超, 张盛, 张旭龙, 等. 岩石断裂过程区孕育规律与声发射特征实验研究 [J]. 岩石力学与工程学报, 2021, 40(2): 290–301. DOI: 10.13722/j.cnki.jrme.2020.0752. AN D C, ZHANG S, ZHANG X L, et al. Experimental study on incubation and acoustic emission characteristics of rock fracture process zones [J]. Chinese Journal of Rock Mechanics and Engineering, 2021, 40(2): 290–301. DOI: 10.13722/j.cnki.jrme.2020.0752.
[20]	XUE L, QIN S Q, SUN Q, et al. A study on crack damage stress thresholds of different rock types based on uniaxial compression tests [J]. Rock Mechanics and Rock Engineering, 2014, 47(4): 1183–1195. DOI: 10.1007/s00603-013-0479-3.
[21]	XING H Z, ZHANG Q B, ZHAO J. Stress thresholds of crack development and Poisson’s ratio of rock material at high strain rate [J]. Rock Mechanics and Rock Engineering, 2018, 51(3): 945–951. DOI: 10.1007/s00603-017-1377-x.
[22]	BROWN E T. Rock characterization, testing & monitoring: ISRM suggested methods [M]. Pergamon Press, 1981.
[23]	PENG J, RONG G, CAI M, et al. A model for characterizing crack closure effect of rocks [J]. Engineering Geology, 2015, 189: 48–57. DOI: 10.1016/j.enggeo.2015.02.004.
[24]	金解放, 杨益, 廖占象, 等. 动荷载与地应力对岩石响应特性的影响试验研究 [J]. 岩石力学与工程学报, 2021, 40(10): 1990–2002. DOI: 10.13722/j.cnki.jrme.2021.0093. JIN J F, YANG Y, LIAO Z X, et al. Effect of dynamic loads and geo-stresses on response characteristics of rocks [J]. Chinese Journal of Rock Mechanics and Engineering, 2021, 40(10): 1990–2002. DOI: 10.13722/j.cnki.jrme.2021.0093.