胶结颗粒材料抗拉强度数值试验
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摘要
为获得胶结颗粒材料细观参数对其抗拉性能的影响,基于离散元理论提出一种胶结颗粒材料单轴拉伸试验数值模拟方法。将数值模拟得到的胶结颗粒材料拉伸应力-应变曲线与试验结果进行对比,验证了数值模拟方法的可行性。采用该方法研究了颗粒粘结参数对平行粘结模型数值试样抗拉强度的影响,建立了给定颗粒尺寸和空隙率情况下的胶结颗粒材料抗拉强度数学预测模型,并根据颗粒粘结参数直接估计胶结颗粒材料抗拉强度。研究结果表明:采用平行粘结模型的数值试样能够较为准确地反映胶结颗粒材料的拉伸力学性状;在颗粒尺寸和空隙率不变的情况下,胶结颗粒材料的抗拉强度与粘结半径系数呈二次函数关系;粘结切向强度和粘结法向强度同步线性增大时,抗拉强度线性增大;粘结切向强度小于粘结法向强度时,抗拉强度随粘结法向强度增长的趋势减缓。
In order to obtain the influence of microparameters on the tensile strength of bonded granular material,a numerical simulation method of uniaxial tensile test for bonded granular material based on discrete element theory was proposed.The validity of the numerical simulation method was proved by comparing the tensile stress-strain curve obtained from the numerical simulation with that from the experimental results.Based on this numerical simulation method,the influence of particle bond parameters on the tensile strength of the numerical specimen used parallel bond model was analyzed.A mathematical prediction model of the tensile strength of bonded granular material with specified particle size and porosity was established,which made it possible to estimate the tensile strength of bonded granular material from particle bond parameters directly.The results show that the numerical specimen used parallel bond model can reflect the tensile mechanical properties of bonded granular material properly.When the particle size and the porosity remain unchanged,the tensile strength of bonded granular material is affected by the parallel-bond radius coefficient in a quadratic way.The tensile strength exhibitslinear increase as the normal and shear strengths of bonds increase synchronous linearly.The growth tendency of the tensile strength of bonded granular material slows down with the increase of normal strength when the shear strength of the bonds is less than the normal strength.
In order to obtain the influence of microparameters on the tensile strength of bonded granular material,a numerical simulation method of uniaxial tensile test for bonded granular material based on discrete element theory was proposed.The validity of the numerical simulation method was proved by comparing the tensile stress-strain curve obtained from the numerical simulation with that from the experimental results.Based on this numerical simulation method,the influence of particle bond parameters on the tensile strength of the numerical specimen used parallel bond model was analyzed.A mathematical prediction model of the tensile strength of bonded granular material with specified particle size and porosity was established,which made it possible to estimate the tensile strength of bonded granular material from particle bond parameters directly.The results show that the numerical specimen used parallel bond model can reflect the tensile mechanical properties of bonded granular material properly.When the particle size and the porosity remain unchanged,the tensile strength of bonded granular material is affected by the parallel-bond radius coefficient in a quadratic way.The tensile strength exhibitslinear increase as the normal and shear strengths of bonds increase synchronous linearly.The growth tendency of the tensile strength of bonded granular material slows down with the increase of normal strength when the shear strength of the bonds is less than the normal strength.
引文
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[18]孙萍,彭建兵,殷跃平,等.黄土拉伸试验及其破裂过程仿真分析[J].岩土力学,2010,31(2):633-637.SUN Ping,PENG Jian-bing,YIN Yue-ping,et al.Tensile Test and Simulation Analysis of Fracture Process of Loess[J].Rock and Soil Mechanics,2010,31(2):633-637.
[19]赵国彦,戴兵,马驰.平行粘结模型中细观参数对宏观特性影响研究[J].岩石力学与工程学报,2012,31(7):1491-1498.ZHAO Guo-yan,DAI Bing,MA Chi.Study of Effects of Microparameters on Macroproperties for Parallel Bonded Model[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(7):1491-1498.
[20]HSIEH Y M,LI H H,HUANG T H,et al.Interpretations on How the Macroscopic Mechanical Behavior of Sandstone Affected by Microscopic Properties-revealed by Bonded-particle Model[J].Engineering Geology,2008,99(1):1-10.
[21]许明,刘先珊.颗粒摩擦因数对胶结砂岩力学特性的影响[J].中南大学学报:自然科学版,2014,45(1):299-305.XU Ming,LIU Xian-shan.Influence of Particle Friction Coefficient on Mechanical Characteristics of Cemented Sandstone[J].Journal of Central South University:Science and Technology,2014,45(1):299-305.
[2]周健,池永,池毓蔚,等.颗粒流方法及PFC2D程序[J].岩土力学,2000,21(3):271-274.ZHOU Jian,CHI Yong,CHI Yu-wei,et al.The Method of Particle Flow and PFC2D Code[J].Rock and Soil Mechanics,2000,21(3):271-274.
[3]徐泳,孙其诚,张凌,等.颗粒离散元法研究进展[J].力学进展,2003,33(2):251-260.XU Yong,SUN Qi-cheng,ZHANG Ling,et al.Advances in Discrete Element Methods for Particulate Materials[J].Advances in Mechanics,2003,33(2):251-260.
[4]蒋明镜,陈贺,刘芳.岩石微观胶结模型及离散元数值仿真方法初探[J].岩石力学与工程学报,2013,32(1):15-23.JIANG Ming-jing,CHEN He,LIU Fang.A Microscopic Bond Model for Rock and Preliminary Study of Numerical Simulation Method by Distinct Element Method[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(1):15-23.
[5]POTYONDY D O,CUNDALL P A.A Bonded-particle Model for Rock[J].International Journal of Rock Mechanics and Mining Sciences,2004,41(8):1329-1364.
[6]刘新荣,傅晏,郑颖人,等.颗粒流细观强度参数与岩石断裂韧度之间的关系[J].岩石力学与工程学报,2011,30(10):2084-2089.LIU Xin-rong,FU Yan,ZHENG Ying-ren,et al.Relation Between Meso-parameters of Particle Flow Code and Fracture Toughness of Rock[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(10):2084-2089.
[7]刘宁,张春生,褚卫江.深埋大理岩破裂扩展时间效应的颗粒流模拟[J].岩石力学与工程学报,2011,30(10):1989-1996.LIU Ning,ZHANG Chun-sheng,CHU Wei-jiang.Simulating Time-dependent Failure of Deep Marble with Particle Flow Code[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(10):1989-1996.
[8]李凡.岩土材料破损特性的颗粒流研究[J].土木工程学报,2007,40(9):78-81.LI Fan.A Study on the Breakage Properties of Geological Materials Using Particle Flow Simulation[J].China Civil Engineering Journal,2007,40(9):78-81.
[9]黄达,岑夺丰,黄润秋.单裂隙砂岩单轴压缩的中等应变率效应颗粒流模拟[J].岩土力学,2013,34(2):535-545.HUANG Da,CEN Duo-feng,HUANG Run-qiu.Influence of Medium Strain Rate on Sandstone with a Single Pre-crack Under Uniaxial Compression Using PFC Simulation[J].Rock and Soil Mechanics,2013,34(2):535-545.
[10]ERGENZINGER C,SEIFRIED R,EBERHARD P.A Discrete Element Model to Describe Failure of Strong Rock in Uniaxial Compression[J].Granular Matter,2011,13(4):341-364.
[11]CHO N,MARTIN C D,SEGO D C.A Clumped Particle Model for Rock[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(7):997-1010.
[12]李识博,王常明,王念秦,等.黄土三轴试验的颗粒流数值模拟[J].中国公路学报,2013,26(6):22-29.LI Shi-bo,WANG Chang-ming,WANG Nian-qin,et al.Numerical Simulation of Loess Triaxial Shear Test by PFC3D[J].China Journal of Highway and Transport,2013,26(6):22-29.
[13]许尚杰,尹小涛,马双科,等.基于颗粒流的混凝土材料数值实验研究[J].实验力学,2009,24(3):251-258.XU Shang-jie,YIN Xiao-tao,MA Shuang-ke,et al.Numerical Test Study of Concrete Material Based on Particle Flow[J].Journal of Experimental Mechanics,2009,24(3):251-258.
[14]徐菁,吴子燕.混凝土材料细观结构断裂数值模拟[J].西北工业大学学报,2003,21(5):556-559.XU Jing,WU Zi-yan.On Predicting Fracture Strength of Concrete[J].Journal of Northwestern Polytechnical University,2003,21(5):556-559.
[15]马晓晖,李立寒.利用离散元模型分析沥青混合料的空隙特性[J].同济大学学报:自然科学版,2013,41(12):1830-1836.MA Xiao-hui,LI Li-han.Analysis of Void Characteristics of Asphalt Mixtures with Discrete Element Method Model[J].Journal of Tongji University:Natural Science,2013,41(12):1830-1836.
[16]王端宜,赵熙.沥青混合料单轴压缩试验的离散元仿真[J].华南理工大学学报:自然科学版,2009,37(7):37-41.WANG Duan-yi,ZHAO Xi.Simulation of Uniaxial Compression Test for Asphalt Mixture with Discrete Element Method[J].Journal of South China University of Technology:Natural Science Edition,2009,37(7):37-41.
[17]杨军,张旭,朱浩然.沥青混合料三轴剪切试验的离散元模拟研究[J].建筑材料学报,2012,15(1):64-68.YANG Jun,ZHANG Xu,ZHU Hao-ran.Discrete Element Simulation on Tri-axial Shear Test of Asphalt Mixtures[J].Journal of Building Materials,2012,15(1):64-68.
[18]孙萍,彭建兵,殷跃平,等.黄土拉伸试验及其破裂过程仿真分析[J].岩土力学,2010,31(2):633-637.SUN Ping,PENG Jian-bing,YIN Yue-ping,et al.Tensile Test and Simulation Analysis of Fracture Process of Loess[J].Rock and Soil Mechanics,2010,31(2):633-637.
[19]赵国彦,戴兵,马驰.平行粘结模型中细观参数对宏观特性影响研究[J].岩石力学与工程学报,2012,31(7):1491-1498.ZHAO Guo-yan,DAI Bing,MA Chi.Study of Effects of Microparameters on Macroproperties for Parallel Bonded Model[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(7):1491-1498.
[20]HSIEH Y M,LI H H,HUANG T H,et al.Interpretations on How the Macroscopic Mechanical Behavior of Sandstone Affected by Microscopic Properties-revealed by Bonded-particle Model[J].Engineering Geology,2008,99(1):1-10.
[21]许明,刘先珊.颗粒摩擦因数对胶结砂岩力学特性的影响[J].中南大学学报:自然科学版,2014,45(1):299-305.XU Ming,LIU Xian-shan.Influence of Particle Friction Coefficient on Mechanical Characteristics of Cemented Sandstone[J].Journal of Central South University:Science and Technology,2014,45(1):299-305.