Relations between macro- and meso-scopic mechanical parameters of granite based on actual distributions of mesocompositions
XU Jinming1，HUANG Dayong1，2，ZHU Hongchang1
(1. Department of Civil Engineering，Shanghai University，Shanghai 200444，China； 2. Department of Civil Engineering，Changzhou Institute of Engineering Technology，Changzhou，Jiangsu 213164，China)
Abstract：Rock is generally composed of various meso-compositions. The type and interaction between these compositions may affect the macro mechanical properties. Taking the Beishan granite as an example，the video images photographed during the laboratory test and the threshold segmentation technique were used to determine the actual types and locations of the various compositions. The particles and cements of the compositions were then assumed as disks and parallel bonds in simulation. The meso-scale mechanical properties were characterized with seven parameters，including the elasticity modulus，stiffness ratio and frictional coefficient of the particles，and the elasticity modulus，stiffness ratio，average normal and tangential strengths of parallel bonds. Macro-scale mechanical properties were characterized with three parameters，including the elasticity modulus，Poisson's ratio，and peak stress of the specimen. The particle flow code and the pixel and particle loops were combined to establish the particle flow model based on the actual compositions. Thirty-two orthogonal simulation tests were then conducted using the seven meso-mechanical parameters in a four level. The macro-meso mechanical relations and the adjustment method in calibrating the meso-mechanical parameters were thereafter proposed. It shows that the digital image processing techniques may be efficiently used to develop a particle flow model reflecting the actual distributions of the multi-compositions；there are good agreements between the elasticity modulus-modulus，Poisson's ratio-stiffness ratio，and peak stress-strength respectively in the macro- and meso-scales. A good correlation exists in the elasticity modulus-stiffness ratio-Poisson's ratio in the macro- and meso-scales. Because the distributions and mechanical features of the meso-compositions control the deformation/failure process，the results presented herein may provide references both in determining the meso-parameters and in estimating the macro parameters of rock materials.
徐金明1，黄大勇1，2，朱洪昌1. 基于细观组分实际分布的花岗岩宏细观参数关系[J]. 岩石力学与工程学报, 2016, 35(S1): 2635-2643.
XU Jinming1，HUANG Dayong1，2，ZHU Hongchang1. Relations between macro- and meso-scopic mechanical parameters of granite based on actual distributions of mesocompositions. , 2016, 35(S1): 2635-2643.
POTYONDYD.O.A bonded-disk model for rock：relating microproperties and macroproperties[C]// Proceedings of the Third International Conference. Virginia：[s. n.]，2002：340-345.
[2]
徐金明，谢芝蕾，贾海涛. 石灰岩细观力学特性的颗粒流模拟[J]. 岩土力学，2010，31(增2)：390-395.(XU Jinming，XIE Zhilei，JIA Haitao. Simulation of mesomechanical properties of limestone using particle flow code[J]. Rock and Soil Mechanics，2010，31(Supp.2)：390-395.(in Chinese))
[3]
HSIEH YM，LI HH，HUANG TH，et al. Interpretations on how the macroscopic mechanical behavior of sandstone affected by microscopic properties-revealed by bonded-particle model[J]. Engineering Geology，2008，99：1-10.
[4]
包春燕，唐春安，唐世斌，等. 单轴拉伸作用下层状岩石表面裂纹的形成模式及其机制研究[J]. 岩石力学与工程学报，2013，32(3)：474-482.(BAO Chunyan，TANG Chunan，TANG Shibin，et al. Research on formation mode and mechanism of layered rock surface fractures under uniaxial tension load[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(3)：474-482.(in Chinese))
[5]
罗 荣，曾亚武，杜 欣. 非均质岩石材料宏细观力学参数的关系研究[J]. 岩土工程学报，2012，34(12)：2331-2 336.(LUO Rong，ZENG Yawu，DU Xin. Relationship between macroscopic and mesoscopic mechanical parametersof inhomogenous rock material[J]. Chinese Journal of Geotechnical Engineering，2012，34(12)：2331- 2 336.(in Chinese))
[6]
尹成薇，梁 冰，姜利国. 基于颗粒流方法的砂土宏 -细观参数关系分析[J]. 煤炭学报，2011，36(增2)：264-267.(YIN Chengwei，LIANG Bing，JIANG Liguo. Analysis of relationship between macro-micro-parameters ofsandy soil based on particle flow theory[J]. Journal of China Coal Society，2011，36(Suppl.2)：264-267.(in Chinese))
[7]
POTYONDY DO，CUNDALL PA. Abonded-particle model for rock[J]. International Journal of Rock Mechanics andMining Sciences，2004，41(8)：1329-1364.
[8]
陈建峰，李辉利，周 健. 黏性土宏细观参数相关性研究[J]. 力学季刊，2010，31(2)：304-309.(CHEN Jianfeng，LI Huili，ZHOU Jian. Study on the relevance of macro-micro parameters for clays[J]. Chinese Quarterly of Mechanics，2010，31(2)：304-309.(in Chinese))
[9]
周 喻，吴顺川，焦建津，等. 基于BP神经网络的岩土体细观力学参数研究[J]. 岩土力学，2011，32(12)：3821-3 826.(ZHOU Yu，WU Shunchuan，JIAO Jianjin，et al. Research on mesomechanical parameters of rockand soil mass based on BP neural network[J]. Rock and Soil Mechanics，2011，32(12)：3821-3 826.(in Chinese))
[10]
史旦达，周 健，刘文白，等. 砂土直剪力学性状的非圆颗粒模拟与宏细观机制研究[J]. 岩土工程学报，2010，32(10)：1557-1 565. (SHI Danda，ZHOU Jian，LIU Wenbai，et al. Exploring macro- and micro-scale responses of sand in direct shear tests bynumerical simulations using non-circular particles[J]. Chinese Journal of Geotechnical Engineering，2010，32(10)：1557-1 565.(in Chinese))
[11]
徐文杰，胡瑞林，王艳萍. 基于数字图像的非均质岩土材料细观结构PFC2D 模型[J]. 煤炭学报，2007，32(4)：358-362.(XU Wenjie，HU Ruilin，WANG Yanping. PFC2D model for mesostructure of inhomogeneous geomaterialbased on digital image processing[J]. Journal of China Coal Society，2007，32(4)：358-362.(in Chinese))
[12]
丁秀丽，李耀旭，王 新. 基于数字图像的土石混合体力学性质的颗粒流模拟[J]. 岩石力学与工程学报，2010，29(3)：477-484. (DING Xiuli，LI Yaoxu，WANG Xin. Particle flow modeling mechanical properties of soiland rock mixtures based on digital image[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(3)：477-484.(in Chinese))
[13]
周 基，田 琼，芮勇勤，等. 基于数字图像的沥青混合料离散元几何建模方法[J]. 土木建筑与环境工程，2012，34(1)：136-140. (ZHOU Ji，TIAN Qiong，RUI Yongqin，et al. A DEM Geometric method of HMA based on digital imaging processing[J]. Journal of Civil Architectural and environmental Engineering，2012，34(1)：136-140.(in Chinese))
[14]
Itasca Consulting Group，Inc..PFC2D(partial flow code in 2 dimension) Version 3.1[R]. Minneapolis，Minnesota：Itasca Consulting Group，Inc.，2001.
[15]
杨 庆，刘元俊. 岩石类材料裂纹扩展贯通的颗粒流模拟[J]. 岩石力学与工程学报，2012，31(增1)：3123-3 129.(YANG Qing，LIU Yuanjun. Simulations of crack propagation in rock-like materialsusing particle flow code[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(Supp.1)：3123-3 129.(in Chinese))
2016, Vol. 35 
