节理粗糙度对应力波传播及试样破坏影响的颗粒流模拟

doi:10.11872/j.issn.1005-2518.2021.02.143

Abstract

Abstract:

In order to study the effect of joint roughness coefficient（JRC） on stress wave propagation and the mechanism of failure of rough joint rock specimens under stress wave action，a numerical model of particle flow code in a split Hopkinson pressure bar（SHPB） system was established by using PFC^2D，a numerical analysis software based on discrete element method. Based on the existing SHPB physical test，the microcosmic parameters of joint rock specimens were demarcated. By comparing the waveforms of incidence，transmission and reflection generated by physical test and numerical simulation，the microscopic parameters were adjusted until the waveforms were basically the same，so that the correctness of the numerical model was verified. The numerical model was used to study the influence of JRC on stress wave propagation under low impact load and the microcosmic crack propagation and failure mechanism of joint rock specimens with different morphology under high impact load. In addition，the stress balance at both ends of the specimen under low impact load was analyzed by using the stress balance factor and the stress variation with time at the incident end and transmission end of the specimen. The typical stages of stress change at both ends of joint rock specimen and complete specimen in numerical impact test were compared and analyzed to explain the delayed effect of stress wave on joint surface and the effect of joint roughness on the increase of stress at the incident end. The results show that the presence of joint surface can reduce the transmission coefficient of stress wave，and the larger the JRC value of joint rock specimen is，the smaller the transmission coefficient is，and the stronger the reflected wave of the joint surface is，the more obvious the effect of stress growth slowing down at the incident end of the specimen is. Under impact load，the crack initiation occurs at the joint surface and spread rapidly to the whole part of the specimen，especially the end surface of the specimen，most of the cracks are formed in the post-peak stage，and tensile cracks are dominant. The rougher the joint surface is，the lower the dynamic strength is，the more easily the specimen is destroyed and the more cracks are produced.

Key words: SHPB, PFC, numerical simulation, JRC, stress wave propagation, transmission coefficient

CLC Number:

TU455

Weihua WANG,Jie LUO,Tian LIU,Zhenyu HAN. Particle Flow Simulation on Influence of Joint Roughness Coefficient on Stress Wave Propagation and Specimens Failure[J].Gold Science and Technology, 2021, 29(2): 208-217.

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References 0

	Barton N R，Choubey V，1977.The shear strength of rock joints in theory and practice［J］.Rock Mechanics and Rock Engineering，10（1）：1-54.
	Cundall P A，Potyondy D O，2004.A bonded-particle model for rock［J］.International Journal of Rock Mechanics and Mining Sciences，41（8）：1329-1364.
	Hu Wanrui，2017.Research on Mechanical Behavior of Jointed Rock mass Based on Smooth-joint Contact Model［D］.Wuhan：Wuhan University.
	Li D Y，Han Z Y，Zhu Q Q，al et，2019.Stress wave propagation and dynamic behavior of red sandstone with single bonded planar joint at various angles［J］.International Journal of Rock Mechanics and Mining Sciences，117：162-170.
	Li J C，Li N N，Li H B，al et，2017.An SHPB test study on wave propagation across rock masses with different contact area ratios of joint［J］.International Journal of Impact Engineering，105：109-116.
	Li X B，Zou Y，Zhou Z L，2014.Numerical simulation of the rock SHPB test with a special shape striker based on the discrete element method［J］.Rock Mechanics and Rock Engineering，47（5）：1693-1709.
	Li Xibing，2014.Rock Dynamics：Fundamentals and Applications［M］.Beijing：Science Press.
	Li Y X，Zhu Z M，Li B X，al et，2011.Study on the transmission and reflection of stress waves across joints［J］.International Journal of Rock Mechanics & Mining Sciences，48（3）：364-371.
	Mehranpour M H，Kulatilake P H S W，2017.Improvements for the smooth joint contact model of the particle flow code and its applications［J］.Computers and Geotechnics，87：163-177.
	Pyrak-nolte L J，Cook N G W，Myer L R，1987.Seismic visibility of fractures［C］//Proceeding of 28th US Symposium on Rock Mechanics.Rotterdam：A.
	Balkema A..
	Qiu J D，Li D Y，Li X B，al et，2017.Dynamic fracturing behavior of layered rock with different inclination angles in SHPB tests［J］.Shock and Vibration，（1）：1-12.
	Resende R，Lamas L，Lemos J V，al et，2010.Micromechanical modelling of stress waves in rock and rock fractures［J］.Rock Mechanics and Rock Engineering，43（6）：741-761.
	Schoenberg M，1980.Elastic wave behavior across linear slip interfaces［J］.Journal of the Acoustical Society of America，68（5）：1516-1521.
	Shi Chong，Zhang Qiang，Wang Shengnian，2018.Numerical Simulation Technology and Application with Particle Flow Code（PFC5.0）［M］.Beijing：China Architecture and Building Press.
	Wang Weihua，Li Xibing，Zuo Yujun，2006.Effects of single joint with nonlinear normal deformation on P-wave propagation［J］.Chinese Journal of Rock Mechanics and Engineering，25（6）：1218-1225.
	Xie Heping，1992.Fractal geometry and its application to rock and soil mechanics［J］.Chinese Journal of Geotechnical Engineering，14（1）：14-24.
	Yu Jin，Guan Yunfei，Xiao Lin，al et，2007.Transmission of elastic P-wave across single fracture with different nonlinear normal deformation behaviors［J］.Journal of PLA University of Science and Technology（Natural Science），8（6）：589-594.
	Yu Jin，Zhao Xiaobao，Zhao Weibing，al et，2008.Improved nonlinear elastic constitutive model for normal deformation of rock fractures［J］.Chinese Journal of Geotechnical Engineering，30（9）：1316-1321.
	Zeng Chao，Zeng Yawu，Zhao Kai，2018.Numerical simulation of particle flow of stress wave propagation characteristics under the impacts of ioint contact area and thickness［J］.Journal of Water Resources and Architectural Engineering，16（1）：134-139.
	Zhao J，Cai J G，2001.Transmission of elastic P-waves across single fractures with a nonlinear normal deformational behavior［J］.Rock Mechanics and Rock Engineering，34（1）：3-22.
	Zhao Jian，1997.Joint match coefficient and effects to behavior of rock joint［J］.Chinese Journal of Rock Mechanics and Engineering，16（6）：514-521.
	Zhou Z L，Zhao Y，Jiang Y H，al et，2017.Dynamic behavior of rock during its post failure stage in SHPB tests［J］.Transactions of Nonferrous Metals Society of China，27（1）：184-196.
	曾超，曾亚武，赵凯，2018.节理接触面积和厚度对应力波传播特性影响的颗粒流数值模拟［J］.水利与建筑工程学报， 16（1）：134-139.
	胡万瑞，2017.基于光滑节理模型的节理岩体力学特性研究［D］.武汉：武汉大学.
	李夕兵，2014.岩石动力学基础与应用［M］.北京：科学出版社.
	石崇，张强，王盛年，2018.颗粒流（PFC5.0）数值模拟技术及应用［M］.北京：中国建筑工业出版社.
	王卫华，李夕兵，左宇军，2006.非线性法向变形节理对弹性纵波传播的影响［J］.岩石力学与工程学报，25（6）：1218-1225.
	谢和平，1992.分形几何及其在岩土力学中的应用［J］.岩土工程学报，14（1）：14-24.
	俞缙，关云飞，肖琳，等，2007.弹性纵波在不同非线性法向变形行为节理处的传播［J］.解放军理工大学学报（自然科学版），8（6）：589-594.
	俞缙，赵晓豹，赵维炳，等，2008.改进的岩石节理弹性非线性法向变形本构模型研究［J］.岩土工程学报，30（9）：1316-1321.
	赵坚，1997.岩石节理吻合系数及其对节理特性的影响［J］.岩石力学与工程学报，16（6）：514-521.

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参数	数值	参数	数值
颗粒半径/mm	0.9~3.0	切向接触刚度/（N·m^-1）	2.45×10¹¹
孔隙率	0.12	颗粒密度/（kg·m^-3）	7 894.7
法向接触刚度/（N·m^-1）	6.86×10¹¹	法/切向黏结强度/MPa	1×10¹⁰⁰

颗粒参数	数值	平行黏结参数	数值
弹性模量/GPa	8.0	弹性模量/GPa	8.0
刚度比	2.0	刚度比	2.0
摩擦因数	0.4	法向强度/MPa	60±5
最大半径/mm	4.5	切向强度/MPa	48±5
最小半径/mm	0.3	半径乘数	1.0
密度/（kg·m^-3）	2 710.4	阻尼	0.05

SJ模型参数	数值
单位法向刚度/（GPa·m^-1）	1 000
单位切向刚度/（GPa·m^-1）	500
摩擦因数	0.5
抗拉强度、内聚力/MPa	0

试样类别	入射应力/MPa	透射应力/MPa	透射系数
完整试样	52.15	32.70	0.627
JRC4~6	52.15	31.30	0.600
JRC8~10	52.15	31.02	0.595
JRC12~14	52.15	30.34	0.582
JRC16~18	52.15	29.20	0.560

节理试样	峰值裂纹数/个			最终裂纹数/个
节理试样	剪切裂纹	张拉裂纹	总裂纹	剪切裂纹	张拉裂纹	总裂纹
JRC4~6	122	205	327	412	1 638	2 050
JRC8~10	117	162	279	422	1 756	2 172
JRC12~14	105	159	264	436	1 773	2 209
JRC16~18	81	112	193	456	1 921	2 377

Particle Flow Simulation on Influence of Joint Roughness Coefficient on Stress Wave Propagation and Specimens Failure

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