Eccentric four-dimensional lattice spring model for heterogeneous rock fracturing

ZHAO Gaofeng; QIAO Lei; ZHANG Yuliang; SUN Jianhua; CHEN Hua

doi:10.16511/j.cnki.qhdxxb.2021.26.014

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Journal of Tsinghua University(Science and Technology) ›› 2021, Vol. 61 ›› Issue (8) : 818-826. DOI: 10.16511/j.cnki.qhdxxb.2021.26.014

Numerical Simulation

Eccentric four-dimensional lattice spring model for heterogeneous rock fracturing

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Abstract

The time needed to generate ultra-large heterogeneous models limits the application of discrete numerical methods in rock engineering. This paper presents an eccentric four-dimensional spring model (eccentric 4D-LSM, ECC4D) based on a 4D-LSM (four-dimensional lattice spring model) for parameter analyses of the effects of Poisson ratio, the elastic modulus and the ultimate normal deformation. The model feasibility is demonstrated through a study of the elastic parameters and failure parameters. The irregular, eccentric four-dimensional model ECC4D is generated using a random offset of the center of mass that can be used for large-scale calculations. ECC4D characterizes the irregularities of the rock materials while quickly generating an arbitrary geometry model. This method has been used to prepare a dam model with more than 100 million particles on a workstation.

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four-dimensional lattice spring model (4D-LSM) / eccentric / high performance computing / rock fracturing

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ZHAO Gaofeng, QIAO Lei, ZHANG Yuliang, SUN Jianhua, CHEN Hua. Eccentric four-dimensional lattice spring model for heterogeneous rock fracturing[J]. Journal of Tsinghua University(Science and Technology). 2021, 61(8): 818-826 https://doi.org/10.16511/j.cnki.qhdxxb.2021.26.014

References

[1] 赵尚毅, 郑颖人, 邓卫东. 用有限元强度折减法进行节理岩质边坡稳定性分析[J]. 岩石力学与工程学报, 2003, 22(2):254-260. ZHAO S Y, ZHENG Y R, DENG W D. Stability analysis on jointed rock slope by strength reduction FEM[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(2):254-260. (in Chinese)
[2] 李世海, 高波, 燕琳. 三峡永久船闸高边坡开挖三维离散元数值模拟[J]. 岩土力学, 2002, 23(3):272-277.LI S H, GAO B, YAN L. 3D simulation of the excavation of high steep slope of Three-Gorges permanent lock by distinct element method[J]. Rock and Soil Mechanics, 2002, 23(3):272-277. (in Chinese)
[3] LI X F, ZHANG Q B, LI H B, et al. Grain-based discrete element method (GB-DEM) modelling of multi-scale fracturing in rocks under dynamic loading[J]. Rock Mechanics and Rock Engineering, 2018, 51(12):3785-3817.
[4] 唐春安, 张永彬. 岩体间隔破裂机制及演化规律初探[J]. 岩石力学与工程学报, 2008, 27(7):1362-1369.TANG C A, ZHANG Y B. Discussion on mechanism and evolution laws of fracture spacing in rock mass[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(7):1362-1369. (in Chinese)
[5] 王卫华, 李夕兵. 离散元法及其在岩土工程中的应用综述[J]. 岩土工程技术, 2005, 19(4):177-181.WANG W H, LI X B. A review on fundamentals of distinct element method and its application in geotechnical engineering[J]. Geotechnical Engineering Technique. 2005, 19(4):177-181. (in Chinese)
[6] 郑颖人, 赵尚毅. 有限元强度折减法在土坡与岩坡中的应用[J]. 岩石力学与工程学报, 2004, 23(19):3381-3388.ZHENG Y R, ZHAO S Y. Application of strength reduction fem in soil and rock slope[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(19):3381-3388. (in Chinese)
[7] 焦玉勇, 张秀丽, 刘泉声, 等. 用非连续变形分析方法模拟岩石裂纹扩展[J]. 岩石力学与工程学报, 2007, 26(4):682-691.JIAO Y Y, ZHANG X L, LIU Q S, et al. Simulation of rock crack propagation using discontinuous deformation analysis method[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(4):682-691. (in Chinese)
[8] SHI G H, GOODMAN R E. Two dimensional discontinuous deformation analysis[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1985, 9(6):541-556.
[9] MA G W, AN X M, HE L. The numerical manifold method:A review[J]. International Journal of Computational Methods, 2010, 7(1):1-32.
[10] HRENNIKOFF A. Solution of problems of elasticity by the framework method[J]. Journal of Applied Mechanics, 1941(8):619-715.
[11] ZHAO G F, FANG J N, ZHAO J. A 3D distinct lattice spring model for elasticity and dynamic failure[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 35(8):859-885.
[12] ZHAO G F, FANG J, ZHAO J N. A 3D distinct lattice spring model for elasticity and dynamic failure[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 35(8):859-885.
[13] ZHAO G F, XIA K W. A study of mode-I self-similar dynamic crack propagation using a lattice spring model[J] Computers and Geotechnics, 2018, 96:215-225.
[14] WANG Y B, YANG R S. Study of the dynamic fracture characteristics of coal with a bedding structure based on the NSCB impact test[J]. Engineering Fracture Mechanics, 2017, 184:319-338.
[15] ZHAO Y X, ZHAO G F, JIANG Y D, et al. Effects of bedding on the dynamic indirect tensile strength of coal:Laboratory experiments and numerical simulation[J]. International Journal of Coal Geology, 2014, 132:81-93.
[16] ZHAO G F. Developing a four-dimensional lattice spring model for mechanical responses of solids[J]. Computation Methods in Applied Mechanics and Engineering, 2017, 315:881-905.
[17] 张奔, 赵高峰. 基于四维离散数值方法的岩石圆环试样动态破坏及耗能规律[J]. 土木与环境工程学报, 2019, 41(2):20-28.ZHANG B, ZHAO G F. Dynamic failure and energy dissipation of rock ring specimen based on 4D lattice spring model[J]. Journal of Civil and Environmental Engineering, 2019, 41(2):20-28. (in Chinese)
[18] HU X D, ZHAO G F, DENG X F, et al. Application of the four-dimensional lattice spring model for blasting wave propagation around the underground rock cavern[J] Tunnelling and Underground Space Technology, 2018, 82:135-147.
[19] 郑文刚, 刘凯欣. 离散元法工程计算软件的前后处理系统[J]. 计算机工程与科学, 2000, 22(6):14-15, 23.ZHENG W G, LIU K X. A preprocessing and postprocessing system for an engineering computation software of discrete element methods[J]. Computer Engineering and Science, 2000, 22(6):14-15, 23. (in Chinese)
[20] 赵高峰, 陈华. 基于阿里云的四维弹簧模型并行运算性能[J]. 土木与环境工程学报, 2019, 41(3):1-10.ZHAO G F, CHEN H. Performance of the parallel four-dimensional lattice spring model using Alibaba cloud[J]. Journal of Civil and Environmental Engineering, 2019, 41(3):1-10. (in Chinese)
[21] LIU C, POLLARD D D, GU K, et al. Mechanism of formation of wiggly compaction bands in porous sandstone:2 numerical simulation using discrete element method[J]. Journal of Geophysical Research:Solid Earth, 2015, 120(12):8153-8168.