Discrete element numerical study on the influence of different 3D boundaries on the triaxial simulation test of granite

WANG Zhilin; ZHENG Mingming; XIA Min; XIONG Liang; WU Zurui and WANG Kai; ${author.authorNameEn}

doi:10.12143/j.ztgc.2023.01.021

2023 Vol. 50, No. 1

Article Contents

Article navigation > DRILLING ENGINEERING > 2023 > 50(1): 150-158

Next Article Previous Article

WANG Zhilin, ZHENG Mingming, XIA Min, XIONG Liang, WU Zurui and WANG Kai, . 2023. Discrete element numerical study on the influence of different 3D boundaries on the triaxial simulation test of granite. DRILLING ENGINEERING, 50(1): 150-158. doi: 10.12143/j.ztgc.2023.01.021

Citation:

WANG Zhilin, ZHENG Mingming, XIA Min, XIONG Liang, WU Zurui and WANG Kai, . 2023. Discrete element numerical study on the influence of different 3D boundaries on the triaxial simulation test of granite. DRILLING ENGINEERING, 50(1): 150-158. doi: 10.12143/j.ztgc.2023.01.021

Discrete element numerical study on the influence of different 3D boundaries on the triaxial simulation test of granite

State Key Laboratory of Geohazard Prevention and Geoenvironment Protection,Chengdu University of Technology, Chengdu Shichuan 610059, China

More Information

Corresponding author: ZHENG Mingming, mingming_zheng513@163.com

Received Date: 13 April 2022

Revised Date: 17 September 2022

Abstract

Abstract

This paper studies the influence of different boundaries on the conventional triaxial simulation test of granite. The particle flow code（PFC3D） was used to generate the granite model based on the method of grain?-based model. At the same time， the discrete element triaxial test models were established respectively for the three boundaries of the rigid membrane， flexible membrane and finite element （“Shell”） by using the FDM?-DEM coupling modeling technology. Test results shows that compared with the “Shell” boundary， the rigid boundary will increase the probability of stress concentration in the sample and affect the failure form of rock samples， the flexible membrane boundary will cause the actual confining pressure of the rock sample to be larger than the target confining pressure during the triaxial loading process， and significantly increase the residual strength of the rock sample. However， the confining pressure of the rock sample under the shell boundary is stable， and the probability of stress concentration is the smallest. Therefore， the shell boundary should be used in the triaxial test of discrete element simulation.
- granite /
- triaxial test /
- FDM‍-DEM coupling /
- flexible membrane boundary /
- rigid boundary /
- “Shell” boundary /
- stress-strain characteristics

FullText(HTML)

References

[1]	杨达，陈宝义，曹宏宇，等.基于冲击载荷的硬质合金球齿碎岩机理研究［J］.钻探工程，2022，49（1）：142-152. Google Scholar YANG Da， CHEN Baoyi， CAO Hongyu， et al. Study on rock fragmentation mechanism of carbide spherical teeth based on impact load［J］. Drilling Engineering， 2022，49（1）：142-152. Google Scholar
[2]	[2] 汤凤林， Нескоромных В. В.，宁伏龙，等.金刚石钻进岩石破碎过程及其与规程参数关系的研究［J］.钻探工程，2021，48（10）：43-55. Google Scholar TANG Fenglin， NESKOROMNYH V. V.， NING Fulong， et al. Research on the rock fragmentation process and its relationship with drilling parameters in diamond drilling［J］. Drilling Engineering， 2021，48（10）：43-55. Google Scholar
[3]	[3] 张程，赵大军，张书磊，等.基于岩石表面位移场的超声波振动下花岗岩损伤特性试验研究［J］.钻探工程，2021，48（3）：39-45. Google Scholar ZHANG Cheng， ZHAO Dajun， ZHANG Shulei， et al. Experimental study on damage characteristics of granite under ultrasonic vibration based on the displacement field of the rock surface［J］. Drilling Engineering， 2021，48（3）：39-45. Google Scholar
[4]	[4] Li X F， Li H B， Zhao J. 3D polycrystalline discrete element method （3PDEM） for simulation of crack initiation and propagation in granular rock［J］. Computers and Geotechnics， 2017，90：96-112. Google Scholar
[5]	[5] Chen Q， Zhang C， Yang C， et al. Effect of fine-grained dipping interlayers on mechanical behavior of tailings using discrete element method［J］. Engineering Analysis with Boundary Elements， 2019，104：288-299. Google Scholar
[6]	[6] Tang C. Numerical simulation of progressive rock failure and associated seismicity［J］. International Journal of Rock Mechanics and Mining Sciences， 1997，34（2）：249-261. Google Scholar
[7]	[7] Li H， Yang C， Ding X， et al. Weibull linear parallel bond model （WLPBM） for simulating micro-mechanical characteristics of heterogeneous rocks［J］. Engineering Analysis with Boundary Elements， 2019，108：82-94. Google Scholar
[8]	[8] 李博，朱强，张丰收，等.基于矿物晶体模型的非均质性岩石双裂纹扩展规律研究［J］.岩石力学与工程学报，2021，40（6）： 1119-1131. Google Scholar LI Bo， ZHU Qiang， ZHANG Fengshou. et al. Influence of meso-structure heterogeneity on granite strength and deformation with particle flow code［J］. Chinese Journal of Rock Mechanics and Engineering， 2021， 40（6）： 1119-1131. Google Scholar
[9]	[9] 胡训健，卞康，谢正勇，等.细观结构的非均质性对花岗岩强度及变形影响的颗粒流模拟［J］.岩土工程学报，2020，42（8）： 1540-1548. Google Scholar HU Xunjian， BIAN Kang， XIE Zhengyong， et al. Numerical simulation of large-scale triaxial tests on soil-rock mixture using DEM with three-dimensional flexible membrane boundary ［J］. Chinese Journal of Geotechnical Engineering， 2020，42（8）：1540-1548. Google Scholar
[10]	[10] 金磊，曾亚武.基于三维柔性薄膜边界的土石混合体大型三轴试验颗粒离散元模拟［J］.岩土工程学报，2018，40（12）：2296–2304.JIN Lei， ZENG Yawu. Numerical simulation of large-scale triaxial tests on soil-rock mixture using DEM with three-dimensional flexible membrane boundary［J］. Chinese Journal of Geotechnical Engineering， 2018，40（12）：2296-2304. Google Scholar
[11]	[11] Xu Wenjie， Hu Liming， Gao W. Random generation of the meso-structure of a soil-rock mixture and its application in the study of the mechanical behavior in a landslide dam［J］. International Journal of Rock Mechanics and Mining Sciences， 2016，86：166-178. Google Scholar
[12]	[12] Cheung G， O’Sullivan C. Effective simulation of flexible lateral boundaries in two- and three-dimensional DEM simulations［J］. Particuology， 2008，6（6）：483-500. Google Scholar
[13]	[13] Thomas P A， Bray J D. Capturing nonspherical shape of granular media with disk clusters［J］. Journal of Geotechnical and Geoenvironmental Engineering， 1999，125（3）：169-178. Google Scholar
[14]	[14] Qu T， Feng Y T， Wang Y， et al. Discrete element modelling of flexible membrane boundaries for triaxial tests［J］. Computers and Geotechnics， 2019，115：103-154. Google Scholar
[15]	[15] 张涛，蔚立元，鞠明和，等.基于PFC3D-GBM的晶体-单元体尺寸比对花岗岩动态拉伸特性影响分析［J］.岩石力学与工程学报，2022，41（3）：28-38. Google Scholar ZHANG Tao， WEI Liyuan， JU Minghe， et al. Study on the effect of grain size-particle size ratio on the dynamic tensile properties of granite based on PFC3D-GBM［J］. Journal of Engineering Geology， 2022，41（3）：28-38. Google Scholar
[16]	[16] 刘静，李江腾.基于颗粒流的大理岩三轴循环加卸载细观损伤特性分析［J］.中南大学学报（自然科学版），2018，49（11）： 2797-2803. Google Scholar LIU Jing， LI Jiangteng. Analysis on meso-damage characteristics of marble under triaxial cyclic loading and unloading based on particle flow simulation［J］. Journal of Central South University （Science and Technology）， 2018，49（11）：2797-2803. Google Scholar
[17]	[17] HE Pengfei， KULATILAKE P H S W， YANG Xuxu， et al. Detailed comparison of nine intact rock failure criteria using polyaxial intact coal strength data obtained through PFC3D simulations［J］. Acta Geotechnica， 2018，13（2）：419-445. Google Scholar
[18]	[18] PARK B， MIN K B. Bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock［J］. International Journal of Rock Mechanics & Mining Sciences， 2015，76：243-255. Google Scholar
[19]	[19] Lu Z， Yao A， Su A， et al. Re-recognizing the impact of particle shape on physical and mechanical properties of sandy soils： A numerical study［J］. Engineering Geology， 2019，253：36-46. Google Scholar
[20]	[20] Ding X， Zhang L， Zhu H， et al. Effect of model scale and particle size distribution on PFC3D simulation results［J］. Rock Mechanics and Rock Engineering， 2014，47（6）：2139-2156. Google Scholar
[21]	[21] 毛海涛，黄海均，严新军，等.非饱和紫色土三轴试验颗粒流宏细观参数关系研究［J］.工程地质学报，2021，29（3）：711–723.MAO Haitao， HUANG Haijun， YAN Xinjun， et al. Numerical study on macroscopic and microscopic parameters of particle flow in unsaturated purple soil trixial test［J］. Journal of Engineering Geology， 2021，29（3）：711-723. Google Scholar
[22]	[22] 蒋成龙，许成顺，张小玲，等.三维柔性边界构建方法及其对砾质土变形发展影响的离散元数值研究［J］.土木工程学报， 2021，54（5）：77-86. Google Scholar JIANG Chenglong， XU Chengshun， ZHANG Xiaoling， et al. Three-dimensional flexible boundary construction method and its influence on the deformation development of gravel soil by discrete element simulation［J］. China Civil Engineering Journal， 2021，54（5）：77-86. Google Scholar
[23]	[23] Shivakumar P N， Sivakumar K C. A review of infinite matrices and their applications［J］. Linear Algebra and its Applications， 2009，430（4）：976-998. Google Scholar
[24]	[24] 甘霖.循环应力-温度作用下花岗岩常规三轴力学行为研究［D］.长春：吉林大学， 2021.GAN Lin. Study on conventional triaxial mechanical behavior of granite tender ［D］. Changchun： Jilin University， 2021. Google Scholar
[25]	[25] MARTIN C D. The effect of cohesion loss and stress path on brittle rock strength［J］. Canadian Geotechnical Journal， 1997，34（5）：698-725. Google Scholar