Effect of inclination angle on 3D crack growth from a surface flaw in sandstone under uniaxial compression

Zhenyu Han , Diyuan Li , Xing Su , Chenxi Zhang , Yingming Xiao

Journal of Central South University ›› : 1 -28.

PDF
Journal of Central South University ›› :1 -28. DOI: 10.1007/s11771-026-6246-x
Research Article
research-article
Effect of inclination angle on 3D crack growth from a surface flaw in sandstone under uniaxial compression
Author information +
History +
PDF

Abstract

Surface discontinuities are commonly distributed in natural rock masses and highly affect their structural stability. In this study, uniaxial compression tests were carried out on prismatic sandstone to examine 3D crack development from a surface flaw with various inclination angles (0° – 90°). Experimental results indicate that the reduction of strength is between 0.88% at 90° and 14.05% at 30°. The major principal strain and horizontal displacement nephograms demonstrate that the crack trajectories on the front surface differ from those on the back surface, and cracks also propagate along the specimen thickness. Both intragranular and intergranular cracks are found around the surface flaw perimeter at a micro scale (µm), confirming the 3D nature of crack growth. The 15° flawed specimens exhibit the highest susceptibility to rockburst, with the largest and smallest proportions of releasable elastic strain energy and dissipated energy in input energy. The stress intensity factors (SIFs) along the surface flaw periphery are theoretically derived to determine the crack initiation position and fracture angle. As the flaw extends deeper, the nature of the initiating crack transforms from a hybrid type I-III to a hybrid type I-II-III, with an increasing proportion in KII and decreasing proportion in KIII. Sensitivity analysis is conducted to investigate the effects of dimensional flaw depth and flaw aspect ratio on the SIF distribution. Finally, the strain and displacement values in the vicinity of the flaw area are extracted to elucidate the disparity in deformation between the front and back surfaces during the loading process.

Keywords

Surface flaw / Uniaxial compression / Fracture / Stress intensity factor / Energy

Cite this article

Download citation ▾
Zhenyu Han, Diyuan Li, Xing Su, Chenxi Zhang, Yingming Xiao. Effect of inclination angle on 3D crack growth from a surface flaw in sandstone under uniaxial compression. Journal of Central South University 1-28 DOI:10.1007/s11771-026-6246-x

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Zhang Z, Gong F, Kozlovskaya E, et al.Characteristic impedance and its applications to rock and mining engineering [J]. Rock Mechanics and Rock Engineering, 2023, 56(4): 3139-3158.

[2]

Li J, Yuan W, Li H, et al.Study on dynamic shear deformation behaviors and test methodology of sawtooth-shaped rock joints under impact load [J]. International Journal of Rock Mechanics and Mining Sciences, 2022, 158: 105210.

[3]

Zhang Y, Yao X, Liang P, et al.Fracture evolution and localization effect of damage in rock based on wave velocity imaging technology [J]. Journal of Central South University, 2021, 28(9): 2752-2769.

[4]

Wu Q, Xie C, Xie Y, et al.Extending application of asymmetric semi-circular bend specimen to investigate mixed mode I/II fracture behavior of granite [J]. Journal of Central South University, 2022, 29(4): 1289-1304.

[5]

Feng X, Liu J, Chen B, et al.Monitoring, warning, and control of rockburst in deep metal mines [J]. Engineering, 2017, 3(4): 538-545.

[6]

Rosakis A J, Rubino V, Lapusta N. Recent milestones in unraveling the full-field structure of dynamic shear cracks and fault ruptures in real-time: From photoelasticity to ultrahigh-speed digital image correlation [J]. Journal of Applied Mechanics, 2020, 87(3): 030801.

[7]

Cai M, Kaiser P K. In-situ rock spalling strength near excavation boundaries [J]. Rock Mechanics and Rock Engineering, 2014, 47(2):659-675.

[8]

Wawersik W R, Fairhurst C. A study of brittle rock fracture in laboratory compression experiments [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1970, 7(5): 561-575.

[9]

Hou P Y, Cai M. Post-peak stress - strain curves of brittle hard rocks under different loading environment system stiffness [J]. Rock Mechanics and Rock Engineering, 2022, 55(7): 3837-3857.

[10]

Brace W F, Bombolakis E G. A note on brittle crack growth in compression [J]. Journal of Geophysical Research, 1963, 68(12): 3709-3713.

[11]

Wong L N Y, Qiquan X. A method for multiscale interpretation of fracture processes in Carrara marble specimen containing a single flaw under uniaxial compression [J]. Journal of Geophysical Research: Solid Earth, 2018, 123(8): 6459-6490.

[12]

Miao S, Pan P, Wu Z, et al.Fracture analysis of sandstone with a single filled flaw under uniaxial compression [J]. Engineering Fracture Mechanics, 2018, 204: 319-343.

[13]

Miao S, Pan P, Zhao S, et al.A new DIC-based method to identify the crack mechanism and applications in fracture analysis of red sandstone containing a single flaw [J]. Rock Mechanics and Rock Engineering, 2021, 54(8): 3847-3871.

[14]

Bobet A. The initiation of secondary cracks in compression [J]. Engineering Fracture Mechanics, 2000, 66(2): 187-219.

[15]

Zhang X, Liu Q, Wu S, et al.Crack coalescence between two non-parallel flaws in rocklike material under uniaxial compression [J]. Engineering Geology, 2015, 199: 74-90.

[16]

Zhou X, Wang Y, Zhang J, et al.Fracturing behavior study of three-flawed specimens by uniaxial compression and 3D digital image correlation: Sensitivity to brittleness [J]. Rock Mechanics and Rock Engineering, 2019, 52(3): 691-718.

[17]

Huang Y, Yang S, Tian W, et al.Experimental and DEM study on failure behavior and stress distribution of flawed sandstone specimens under uniaxial compression [J]. Theoretical and Applied Fracture Mechanics, 2022, 118: 103266.

[18]

Zhang J, Zhou X, Du Y. Cracking behaviors and acoustic emission characteristics in brittle failure of flawed sandstone: A true triaxial experiment investigation [J]. Rock Mechanics and Rock Engineering, 2023, 56(1): 167-182.

[19]

Sagong M, Bobet A. Coalescence of multiple flaws in a rockmodel material in uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(2): 229-241.

[20]

Le H, Sun S, Kulatilake P H S W, et al.Effect of grout on mechanical properties and cracking behavior of rock-like specimens containing a single flaw under uniaxial compression [J]. International Journal of Geomechanics, 2018, 18(10): 04018129.

[21]

Yang S, Yang Z, Zhang P, et al.Experiment and peridynamic simulation on cracking behavior of red sandstone containing a single non-straight fissure under uniaxial compression [J]. Theoretical and Applied Fracture Mechanics, 2020, 108: 102637.

[22]

Liu X, Liu Q, Liu B, et al.Acoustic emission characteristics of pre-cracked specimens under biaxial compression [J]. Journal of Geophysics and Engineering, 2019, 16(6):1164-1177.

[23]

Tian J, Xu D, Liu T. An experimental investigation of the fracturing behaviour of rock-like materials containing two V-shaped parallelogram flaws [J]. International Journal of Mining Science and Technology, 2020, 30(6): 777-783.

[24]

Fan W, Yang H, Jiang X, et al.Experimental and numerical investigation on crack mechanism of folded flawed rock-like material under uniaxial compression [J]. Engineering Geology, 2021, 291: 106210.

[25]

Zhang K, Zhang K, Bao R, et al.A novel quantitative explanation for the fracture mechanism of sandstone containing a circular inclusion [J]. Fatigue & Fracture of Engineering Materials & Structures, 2023, 46(5): 1775-1791.

[26]

Wong L N Y, Einstein H H. Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(2): 239-249.

[27]

Cannon N P, Schulson E M, Smith T R, et al.Wing cracks and brittle compressive fracture [J]. Acta Metallurgica et Materialia, 1990, 38(10): 1955-1962.

[28]

Duriez J, Scholtès L, Donzé F V. Micromechanics of wing crack propagation for different flaw properties [J]. Engineering Fracture Mechanics, 2016, 153: 378-398.

[29]

Bernabé Y, Pec M. Brittle creep and failure: A reformulation of the wing crack model [J]. Journal of Geophysical Research: Solid Earth, 2022, 127(9): e2022JB024610.

[30]

Liu L, Li H, Li X. A state-of-the-art review of mechanical characteristics and cracking processes of pre-cracked rocks under quasi-static compression [J]. Journal of Rock Mechanics and Geotechnical Engineering, 2022, 14(6):2034-2057.

[31]

Zhou X, Zhang J, Yang S, et al.Compression-induced crack initiation and growth in flawed rocks: A review [J]. Fatigue & Fracture of Engineering Materials & Structures, 2021, 44(7): 1681-1707.

[32]

Hoek E, Martin C D. Fracture initiation and propagation in intact rock – A review [J]. Journal of Rock Mechanics and Geotechnical Engineering, 2014, 6(4): 287-300.

[33]

Han Z, Li D, Li X. Dynamic mechanical properties and wave propagation of composite rock-mortar specimens based on SHPB tests [J]. International Journal of Mining Science and Technology, 2022, 32(4): 793-806.

[34]

Esterhuizen GS, Dolinar DR, Ellenberger JL. Pillar strength and design methodology for stone mines [C]. Proceedings of the 27th international conference on ground control in mining, 2008, Morgantown WV: West Virginia University, 241-253

[35]

Han Z, Li J, Wang H, et al.Initiation and propagation of a single internal 3D crack in brittle material under dynamic loads [J]. Engineering Fracture Mechanics2023, 285: 109299.

[36]

Han Z, Li J, Li D, et al.3D spatial fracture behavior of sandstone containing a surface flaw under uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2023, 171: 105583.

[37]

Irwin G R. Crack-extension force for a part-through crack in a plate [J]. Journal of Applied Mechanics, 1962, 29(4): 651-654.

[38]

Wong R H C, Huang M l, Jiao M r, et al.The mechanisms of crack propagation from surface 3-D fracture under uniaxial compression [J]. Key Engineering Materials, 2004, 261–263: 219-224.

[39]

Wong R H C, Law C M, Chau K T, et al.Crack propagation from 3-D surface fractures in PMMA and marble specimens under uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41: 37-42.

[40]

Wong R H C, Guo Y S H, Chau K T, et al.The crack growth mechanism from 3-D surface flaw with strain and acoustic emission measurement under axial compression [J]. Key Engineering Materials, 2007, 353–358: 2357-2360.

[41]

Yin P, Wong R H C, Chau K T. Coalescence of two parallel pre-existing surface cracks in granite [J]. International Journal of Rock Mechanics and Mining Sciences, 2014, 68: 66-84.

[42]

Chang S Y, Al Bahar S K, Husain A A M, et al.Advances in Civil Engineering and Building Materials [M], 2012, Boca Raton: CRC Press

[43]

Liang Z Z, Xing H, Wang S Y, et al.A three-dimensional numerical investigation of the fracture of rock specimens containing a pre-existing surface flaw [J]. Computers and Geotechnics2012, 45: 19-33.

[44]

Zhuang X, Augarde C E, Mathisen K M. Fracture modeling using meshless methods and level sets in 3D: Framework and modeling [J]. International Journal for Numerical Methods in Engineering, 2012, 92(11): 969-998.

[45]

Fan X, Yu H, Deng Z, et al.Cracking and deformation of cuboidal sandstone with a single nonpenetrating flaw under uniaxial compression [J]. Theoretical and Applied Fracture Mechanics, 2022, 119: 103284.

[46]

Mondal S, Olsen-Kettle L, Gross L. Simulating damage evolution and fracture propagation in sandstone containing a preexisting 3-D surface flaw under uniaxial compression [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2019, 43(7): 1448-1466.

[47]

Irwin G R. Analysis of stresses and strains near the end of a crack traversing a plate [J]. Journal of Applied Mechanics, 1957, 24(3): 361-364.

[48]

Atkinson B KFracture Mechanics of Rock [M], 20152nd edLondonElsevier

[49]

Santos Vizini V O, Futai M M. Mode I fracture toughness determination of rock and concrete via pull-off test [J]. Rock Mechanics and Rock Engineering2023, 56(2): 1305-1319.

[50]

Khan K, Al-Shayea N A. Effect of specimen geometry and testing method on mixed mode I–II fracture toughness of a limestone rock from Saudi Arabia [J]. Rock Mechanics and Rock Engineering, 2000, 33(3): 179-206.

[51]

Newman J C, Raju I S. An empirical stress-intensity factor equation for the surface crack [J]. Engineering Fracture Mechanics, 1981, 15(1): 185-192. 2

[52]

Li S, He T, Teng C, et al.Theoretical and experimental study of 3-D initial fracture and its significance to faulting [J]. Earthquake Science, 2011, 24(3): 283-298.

[53]

Kramarov V, Parrikar P N, Mokhtari M. Evaluation of fracture toughness of sandstone and shale using digital image correlation [J]. Rock Mechanics and Rock Engineering, 2020, 53(9): 4231-4250.

[54]

Ju Y, Xing D, Mao L, et al.Optical measurement, characterization and quantification for plastic deformations and stress in three-dimensional structures: Recent developments, challenges, and prospects [J]. Measurement, 2021, 186: 110212.

[55]

Zhang J, Fu B, Li Z, et al.Criterion and classification for strain mode rockbursts based on five-factor comprehensive method [M]. Harmonising Rock Engineering and the Environment, 2011, Boca Raton: CRC Press, 1435-1440.

[56]

Newman J C. Fracture analysis of surface- and through-cracked sheets and plates [J]. Engineering Fracture Mechanics1973, 5(3): 667-689.

[57]

China Academy of AeronauticsHandbook of stress intensity factors [M], 1981, Beijing: Science Press(in Chinese)

[58]

Richard H A, Eberlein A, Kullmer G. Concepts and experimental results for stable and unstable crack growth under 3D-mixed-mode-loadings [J]. Engineering Fracture Mechanics2017, 174: 10-20.

Rights & permissions

Central South University

PDF

3

Accesses

0

Citation

Detail

Sections
Recommended

/

〈 〉