CLC number:
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2023-02-01
Cited: 0
Clicked: 1338
Citations: Bibtex RefMan EndNote GB/T7714
Tian WANG, Jian WANG, Sheng JIANG, Jiahe ZHANG. Numerical investigations of the failure mechanism evolution of rock-like disc specimens containing unfilled or filled flaws[J]. Journal of Zhejiang University Science A, 2023, 24(1): 64-79.
@article{title="Numerical investigations of the failure mechanism evolution of rock-like disc specimens containing unfilled or filled flaws",
author="Tian WANG, Jian WANG, Sheng JIANG, Jiahe ZHANG",
journal="Journal of Zhejiang University Science A",
volume="24",
number="1",
pages="64-79",
year="2023",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2200238"
}
%0 Journal Article
%T Numerical investigations of the failure mechanism evolution of rock-like disc specimens containing unfilled or filled flaws
%A Tian WANG
%A Jian WANG
%A Sheng JIANG
%A Jiahe ZHANG
%J Journal of Zhejiang University SCIENCE A
%V 24
%N 1
%P 64-79
%@ 1673-565X
%D 2023
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2200238
TY - JOUR
T1 - Numerical investigations of the failure mechanism evolution of rock-like disc specimens containing unfilled or filled flaws
A1 - Tian WANG
A1 - Jian WANG
A1 - Sheng JIANG
A1 - Jiahe ZHANG
J0 - Journal of Zhejiang University Science A
VL - 24
IS - 1
SP - 64
EP - 79
%@ 1673-565X
Y1 - 2023
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2200238
Abstract: The mechanical responses and ultimate failure patterns of rocks are associated with the failure mechanism evolution. In this study, smoothed particle hydrodynamics (SPH) method with the mixed-mode failure model is proposed to probe into failure mechanism evolutions for disc specimens upon loading. The tensile damage model and the Drucker-Prager model are used to calculate the tensile failure and shear failure of the material, respectively. It is concluded that for flaw-unfilled disc specimens, the crack coalescence mechanism in the rock bridge area is affected by the flaw inclination angle and the material property. Considering disc specimens with filled flaws, the incremental rate of tensile damage grows more rapidly when the disc and filling material have a closer ratio of tensile strength to cohesion, which makes the entire specimen response greater brittleness. Furthermore, with the increasing non-uniformity of filling distribution, the incremental rate of tensile-activated damage decreases and the disc specimen performs more ductile. Besides, the influence of the fillings is greater when the flaw inclination angle is approaching 45°. It is proved that the proposed SPH method can be used to simulate the failure mechanism evolution of rocks, which lays a foundation for the study of more complex rock failure.
[1]AdachiJ, SiebritsE, PeirceA, et al., 2007. Computer simulation of hydraulic fractures. International Journal of Rock Mechanics and Mining Sciences, 44(5):739-757.
[2]AfolagboyeLO, HeJM, WangSJ, 2018. Crack initiation and coalescence behavior of two non-parallel flaws. Geotechnical and Geological Engineering, 36(1):105-133.
[3]BenzW, AsphaugE, 1995. Simulations of brittle solids using smooth particle hydrodynamics. Computer Physics Communications, 87(1-2):253-265.
[4]BuiHH, FukagawaR, SakoK, et al., 2008. Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model. International Journal for Numerical and Analytical Methods in Geomechanics, 32(12):1537-1570.
[5]CaiM, KaiserPK, TasakaY, et al., 2004. Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations. International Journal of Rock Mechanics and Mining Sciences, 41(5):833-847.
[6]ChenJK, BeraunJE, CarneyTC, 1999. A corrective smoothed particle method for boundary value problems in heat conduction. International Journal for Numerical Methods in Engineering, 46(2):231-252.
[7]ChenWF, MizunoE, 1990. Nonlinear Analysis in Soil Mechanics: Theory and Implementation. Elsevier, Amsterdam, the Netherlands.
[8]ChenZP, ShenLM, 2022. A modified smoothed particle hydrodynamics for modelling fluid-fracture interaction at mesoscale. Computational Particle Mechanics, 9(2):277-297.
[9]ClearyPW, 1998. Modelling confined multi-material heat and mass flows using SPH. Applied Mathematical Modelling, 22(12):981-993.
[10]DasR, ClearyPW, 2010. Effect of rock shapes on brittle fracture using smoothed particle hydrodynamics. Theoretical and Applied Fracture Mechanics, 53(1):47-60.
[11]DasR, ClearyPW, 2015. Evaluation of accuracy and stability of the classical SPH method under uniaxial compression. Journal of Scientific Computing, 64(3):858-897.
[12]DasR, ZhangY, SchaubsP, et al., 2014. Modelling rock fracturing caused by magma intrusion using the smoothed particle hydrodynamics method. Computational Geosciences, 18(6):927-947.
[13]DebD, PramanikR, 2013. Failure process of brittle rock using smoothed particle hydrodynamics. Journal of Engineering Mechanics, 139(11):1551-1565.
[14]Douillet-GrellierT, JonesBD, PramanikR, et al., 2016. Mixed-mode fracture modeling with smoothed particle hydrodynamics. Computers and Geotechnics, 79:73-85.
[15]Douillet-GrellierT, PramanikR, PanK, et al., 2017. Development of stress boundary conditions in smoothed particle hydrodynamics (SPH) for the modeling of solids deformation. Computational Particle Mechanics, 4(4):451-471.
[16]GingoldRA, MonaghanJJ, 1977. Smoothed particle hydrodynamics: theory and application to non-spherical stars. Monthly Notices of the Royal Astronomical Society, 181(3):375-389.
[17]GuiY, BuiHH, KodikaraJ, 2015. An application of a cohesive fracture model combining compression, tension and shear in soft rocks. Computers and Geotechnics, 66:142-157.
[18]HaeriH, ShahriarK, MarjiMF, et al., 2014. Experimental and numerical study of crack propagation and coalescence in pre-cracked rock-like disks. International Journal of Rock Mechanics and Mining Sciences, 67:20-28.
[19]IchikawaY, KawamuraK, UesugiK, et al., 2001. Micro- and macrobehavior of granitic rock: observations and viscoelastic homogenization analysis. Computer Methods in Applied Mechanics and Engineering, 191(1-2):47-72.
[20]JinZ, LuZ, YangY, 2021. Numerical analysis of column collapse by smoothed particle hydrodynamics with an advanced critical state-based model. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 22(11):882-893.
[21]LeiRD, ZhangZY, BertoF, et al., 2020. Cracking process and acoustic emission characteristics of sandstone with two parallel filled-flaws under biaxial compression. Engineering Fracture Mechanics, 237:107253.
[22]LiberskyLD, PetschekAG, CarneyTC, et al., 1993. High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response. Journal of Computational Physics, 109(1):67-75.
[23]LinP, WongRHC, TangCA, 2015. Experimental study of coalescence mechanisms and failure under uniaxial compression of granite containing multiple holes. International Journal of Rock Mechanics and Mining Sciences, 77:313-327.
[24]LucyLB, 1977. A numerical approach to the testing of the fission hypothesis. Astronomical Journal, 82:1013-1024.
[25]MaG, ZhangYD, ZhouW, et al., 2018. The effect of different fracture mechanisms on impact fragmentation of brittle heterogeneous solid. International Journal of Impact Engineering, 113:132-143.
[26]MiaoST, PanPZ, WuZH, et al., 2018. Fracture analysis of sandstone with a single filled flaw under uniaxial compression. Engineering Fracture Mechanics, 204:319-343.
[27]MonaghanJJ, 1992. Smoothed particle hydrodynamics. Annual Review of Astronomy and Astrophysics, 30(1):543-574.
[28]PalS, KayniaAM, BhasinRK, et al., 2012. Earthquake stability analysis of rock slopes: a case study. Rock Mechanics and Rock Engineering, 45(2):205-215.
[29]PanPZ, MiaoST, JiangQ, et al., 2020. The influence of infilling conditions on flaw surface relative displacement induced cracking behavior in hard rock. Rock Mechanics and Rock Engineering, 53(10):4449-4470.
[30]PotapovS, MaurelB, CombescureA, et al., 2009. Modeling accidental-type fluid-structure interaction problems with the SPH method. Computers & Structures, 87(11-12):721-734.
[31]SharafisafaM, NazemM, 2014. Application of the distinct element method and the extended finite element method in modelling cracks and coalescence in brittle materials. Computational Materials Science, 91:102-121.
[32]SharafisafaM, ShenLM, XuQF, 2018. Characterisation of mechanical behaviour of 3D printed rock-like material with digital image correlation. International Journal of Rock Mechanics and Mining Sciences, 112:122-138.
[33]SharafisafaM, ShenLM, ZhengYG, et al., 2019. The effect of flaw filling material on the compressive behaviour of 3D printed rock-like discs. International Journal of Rock Mechanics and Mining Sciences, 117:105-117.
[34]ShenBT, StephanssonO, EinsteinHH, et al., 1995. Coalescence of fractures under shear stresses in experiments. Journal of Geophysical Research: Solid Earth, 100(B4):5975-5990.
[35]TangCA, LinP, WongRHC, et al., 2001. Analysis of crack coalescence in rock-like materials containing three flaws—part II: numerical approach. International Journal of Rock Mechanics and Mining Sciences, 38(7):925-939.
[36]TianWL, YangSQ, 2017. Experimental and numerical study on the fracture coalescence behavior of rock-like materials containing two non-coplanar filled fissures under uniaxial compression. Geomechanics and Engineering, 12(3):541-560.
[37]WangJ, ChanD, 2014. Frictional contact algorithms in SPH for the simulation of soil-structure interaction. International Journal for Numerical and Analytical Methods in Geomechanics, 38(7):747-770.
[38]WangJ, WuH, GuCS, et al., 2013. Simulating frictional contact in smoothed particle hydrodynamics. Science China Technological Sciences, 56(7):1779-1789.
[39]WangT, WangJ, ZhangP, 2020. An improved support domain model of smoothed particle hydrodynamics method to simulate crack propagation in materials. International Journal of Computational Methods, 17(10):1950081.
[40]WangYN, BuiHH, NguyenGD, et al., 2019. A new SPH-based continuum framework with an embedded fracture process zone for modelling rock fracture. International Journal of Solids and Structures, 159:40-57.
[41]WangYN, TranHT, NguyenGD, et al., 2020. Simulation of mixed-mode fracture using SPH particles with an embedded fracture process zone. International Journal for Numerical and Analytical Methods in Geomechanics, 44(10):1417-1445.
[42]WhyattJK, BoardMP, 1991. Numerical Exploration of Shear-Fracture-Related Rock Bursts Using a Strain-Softening Constitutive Law. US Department of the Interior, Bureau of Mines, USA, p.1-20.
[43]WongLNY, EinsteinHH, 2009a. Crack coalescence in molded gypsum and Carrara marble: part 1. Macroscopic observations and interpretation. Rock Mechanics and Rock Engineering, 42(3):475-511.
[44]WongLNY, EinsteinHH, 2009b. Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression. International Journal of Rock Mechanics and Mining Sciences, 46(2):239-249.
[45]WongRHC, ChauKT, 1998. Crack coalescence in a rock-like material containing two cracks. International Journal of Rock Mechanics and Mining Sciences, 35(2):147-164.
[46]WongRHC, LinP, ChauKT, et al., 2000. The effects of confining compression on fracture coalesence in rock-like material. Key Engineering Materials, 183-187:857-862.
[47]XuY, ChenSH, 2016. A method for modeling the damage behavior of concrete with a three-phase mesostructure. Construction and Building Materials, 102:26-38.
[48]YeylaghiS, MoaB, BuckhamB, et al., 2017. ISPH modelling of landslide generated waves for rigid and deformable slides in Newtonian and non-Newtonian reservoir fluids. Advances in Water Resources, 107:212-232.
[49]YinZY, JinYF, ZhangX, 2021. Large deformation analysis in geohazards and geotechnics. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 22(11):851-855.
[50]YuJ, ChenSJ, ChenX, et al., 2015. Experimental investigation on mechanical properties and permeability evolution of red sandstone after heat treatments. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 16(9):749-759.
[51]ZhangXP, WongLNY, 2012. Cracking processes in rock-like material containing a single flaw under uniaxial compression: a numerical study based on parallel bonded-particle model approach. Rock Mechanics and Rock Engineering, 45(5):711-737.
[52]ZhangXP, WongLNY, WangSJ, 2015. Effects of the ratio of flaw size to specimen size on cracking behavior. Bulletin of Engineering Geology and the Environment, 74(1):181-193.
[53]ZhaoYL, ZhangLY, WangWJ, et al., 2016. Cracking and stress–strain behavior of rock-like material containing two flaws under uniaxial compression. Rock Mechanics and Rock Engineering, 49(7):2665-2687.
[54]ZhaoZH, ZhouD, 2016. Mechanical properties and failure modes of rock samples with grout-infilled flaws: a particle mechanics modeling. Journal of Natural Gas Science and Engineering, 34:702-715.
[55]ZhaoZH, LinT, ChenYD, et al., 2022. Shear behaviors of natural rock fractures infilled with cemented calcite. Computers and Geotechnics, 141:104493.
[56]ZhengG, ZhuR, SunJB, et al., 2021. Numerical study on failure propagation between two closely spaced tunnels. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 22(11):894-908.
[57]ZhouXP, ChengH, FengYF, 2014. An experimental study of crack coalescence behaviour in rock-like materials containing multiple flaws under uniaxial compression. Rock Mechanics and Rock Engineering, 47(6):1961-1986.
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