基于分形理论的钙质土颗粒破碎状态演化研究

doi:10.13722/j.cnki.jrme.2020.0591

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摘要颗粒破碎会使土体的颗粒级配发生重大变化，而颗粒级配的变化又会显著影响土体的物理力学性质。采用冲击荷载试验对单一粒组以及复杂粒组的钙质土在冲击荷载作用下的破碎行为进行研究，根据单一粒组试验结果，基于分形理论，建立单一粒组在破碎状态下的颗粒级配演化函数；该函数仅包含2个参数，分形维数D以及破碎率pB，且D与pB皆为输入能量Eb的函数。将复杂粒组视为若干相互独立的单一粒组的集合，其发生破碎后的颗粒级配状态可通过建立装配矩阵由单一粒组的演化函数获得。2组复杂粒组的冲击荷载试验结果显示，该方法能较好地预测在不同Eb下发生破碎后的试样颗粒级配曲线。

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	林澜1
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	李飒1
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	孙立强1
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	李婷婷1
	2
	尹蒋松1
	2

关键词 ：土力学, 钙质土, 颗粒破碎, 颗粒级配, 演化规律, 分形理论

Abstract：Particle breakage will change the particle size distribution(PSD)，which can significantly affect the physical and mechanical properties of corresponding soils. In this study，a series of impact load tests were performed to investigate the evolution of PSD in breakage state for uniformly and non-uniformly graded carbonate soils under impact loads. Based on the test results of uniformly graded samples as well as fractal theory，an evolution function was established to describe the PSD evolution in breakage state for uniformly graded carbonate soils. The function contains only two parameters including fractal dimension D and breakage probability pB，which are both the functions of the input energy Eb. The non-uniformly graded sample was assumed to be a collection of independent multiple uniformly graded groups，and，from the PSD evolution functions of these groups，an assembly matrix was proposed to describe the PSD evolution for non-uniformly graded samples in breakage state. The test results of two sets of non-uniformly graded samples show that the proposed method can well predict the PSD in breakage state for non-uniformly graded samples under different Eb.

Key words： soil mechanics carbonate soil particle breakage particle size distribution evolution fractal theory

引用本文:

林澜1，2，李飒1，2，孙立强1，2，李婷婷1，2，尹蒋松1，2. 基于分形理论的钙质土颗粒破碎状态演化研究[J]. 岩石力学与工程学报, 2021, 40(3): 640-648.
LIN Lan1，2，LI Sa1，2，SUN Liqiang1，2，LI Tingting1，2，YIN Jiangsong1，2. Study on evolution of particle breakage of carbonate soils based on fractal theory. , 2021, 40(3): 640-648.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.0591 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I3/640

[21]	LV Y R，WANG Y，ZUO D J. Effects of particle size on dynamic constitutive relation and energy absorption of calcareous sand[J]. Powder Technology，2019，356：21-30.
[27]	HARDIN B O. Crushing of soil particles[J]. Journal of Geotechnical Engineering，1985，111 (10)：1 177-1 192.
[5]	INDRARATNA B，IONESCU D，CHRISTIE H D. Shear behavior of railway ballast based on large-scale triaxial tests[J]. Journal of geotechnical and geoenvironmental engineering，1998，124(5)：439-449.
[15]	信鹏飞，李飒，吴文娟. 冲击荷载作用下钙质砂破碎与变形特性研究[J]. 水力发电学报，2019，38(12)：102-111.(XIN Pengfei，LI Sa，WU Wenjuan. Study on particle breakage and deformation characteristics of calcareous sand under impact loading[J]. Journal of Hydroelectric Engineering，2019，38(12)：102-111.(in Chinese))
[25]	LADD R S. Preparing test specimens using undercompaction[J]. Geotechnical Testing Journal，1978，1(1)：16-23.
[4]	FU Z，CHEN S，PENG C. Modeling cyclic behavior of rockfill materials in a framework of generalized plasticity[J]. International Journal of Geomechanics，2014，14(2)：191-204.
[14]	XIAO Y，LIU HL，XIAO P，et al. Fractal crushing of carbonate sands under impact loading[J]. Géotechnique Letters，2016，6(3)：199-204.
[24]	林澜，李飒，孙立强，等. 基于动力触探的钙质土相对密实度研究[J]. 岩土力学，2020，41(8)：2 730-2 738.(LIN Lan，LI Sa，SUN Liqiang，et al. Study of relative density for carbonate soil using dynamic cone penetration test[J]. Rock and Soil Mechanics，2020，41(8)：2 730-2 738.(in Chinese))
[2]	单华刚，汪稔，周曾辉. 南沙群岛永暑礁工程地质特性[J]. 海洋地质与第四纪地质，2000，20(3)：31-36.(SHAN Huagang，WANG Ren，ZHOU Zenghui. Yongshu reef engineering geology of Nansha islands[J]. Marine Geology And Quaternary Geology，2000，20(3)：31-36.(in Chinese))
[12]	YU F W. Particle breakage in triaxial shear of a coral sand[J]. Soils and Foundations，2018，58(4)：866-880.
[22]	ASTM. D2487 Standard practice for classification of soils for engineering purposes[S]. West Conshohocken：ASTM International，2017.
[10]	张季如，胡泳，张弼文，等. 石英砂砾破碎过程中粒径分布的分形行为研究[J]. 岩土工程学报，2015，37(5)：784-791.(ZHANG Jiru，HU Yong，ZHANG Biwen，et al. Fractal behavior of particle-size distribution during particle crushing of quartz sand and gravel[J]. Chinese Journal of Geotechnical Engineering，2015，37(5)：784-791.(in Chinese))
[20]	童晨曦，张升，李希，等. 基于Markov链的岩土材料颗粒破碎演化规律研究[J]. 岩土工程学报，2015，37(5)：870-877.(TONG Chenxi，ZHANG Sheng，LI Xi，et al. Evolution of geotechnical materials based on Markov chain considering particle crushing[J]. Chinese Journal of Geotechnical Engineering，2015，37(5)：870-877. (in Chinese))
[7]	TYLER S W，WHEATCRAFT S W. Fractal scaling of soil particle-size distributions：Analysis and Limitations[J]. Soil Science Society of America Journal，1992，56(2)：362-369.
[17]	SADREKARIMI A，OLSON S M. Particle damage observed in ring shear tests on sands[J]. Canadian Geotechnical Journal，2010，47(5)：497-515.
[19]	OZKAN G，ORTOLEVA P J. Evolution of the gouge particle size distribution：A Markov model[J]. Pure and Applied Geophysics，2000，157 (3)：449-468.
[23]	CLARK A R，WALKER B F. A proposed scheme for the classification and nomemclature for use in the engineering description on Middle Eastern sedimentary rocks[J]. Geotechnique，1977，27(1)：93-99.
[1]	李飒，刘富诗，戴旭，等. 不同碳酸钙含量砂土的工程特性研究[J]. 岩石力学与工程学报，2019，38(增1)：3 271-3 278.(LI Sa，LIU Fushi，DAI Xu，et al. Study on engineering properties of sand with different calcium carbonate contents[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(Suup.1)：3 271-3 278.(in Chinese))
[3]	蔡正银，侯贺营，张晋勋，等. 考虑颗粒破碎影响的珊瑚砂临界状态与本构模型研究[J]. 岩土工程学报，2019，41(6)：989-995.(CAI Zhengyin，HOU Heying，ZHANG Jinxun，et al. Critical state and constitutive model for coral sand considering particle breakage[J]. Chinese Journal of Geotechnical Engineering，2019，41(6)：989-995. (in Chinese))
[6]	XIAO Y，LIU H，CHEN Y，et al. Strength and deformation of rockfill material based on large-scale triaxial compression tests. II：influence of particle breakage[J]. Journal of geotechnical and geoenvironmental engineering，2014，140(12)：04014071.
[8]	COOP M R，SORENSEN K K，FREITAS T B，et al. Particle breakage during shearing of a carbonate sand[J]. Géotechnique，2004，54(3)：157-163.
[9]	张季如，祝杰，黄文竞. 侧限压缩下石英砂砾的颗粒破碎特性及其分形描述[J]. 岩土工程学报，2008，30(6)：783-789.(ZHANG Jiru，ZHU Jie，HUANG Wenjing. Crushing and fractal behaviors of quartz sand-gravel particles under confined compression[J]. Chinese Journal of Geotechnical Engineering，2008，30(6)：783-789.(in Chinese))
[11]	石修松，程展林. 堆石料颗粒破碎的分形特性[J]. 岩石力学与工程学报，2019，38 (增2)：3 852-3 857.(SHI Xiusong，CHENG Zhanlin. Fractal behavior in crushing of rockfill material[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(Suup.2)：3 852-3 857.(in Chinese))
[13]	杜俊，侯克鹏，梁维，等. 粗粒土压实特性及颗粒破碎分形特征试验研究[J]. 岩土力学，2013，34(增1)：155-161.(DU Jun，HOU Kepeng，LIANG Wei，et al. Experimental study of compaction characteristics and fractal feature in crushing of coarse-grained soils[J]. Rock and Soil Mechanics，2013，34(Suup.1)：155-161.(in Chinese))
[16]	KOKUSHO T，HARA T，HIRAOKA R. Undrained shear strength of granular soils with different particle gradations[J]. Journal of Geotechnical and Geoenvironmental Engineering，2004，130(6)：621-629.
[18]	KARIMPOUR H，LADE P V. Time effects relate to crushing in sand[J]. Journal of Geotechnical and Geoenvironmental Engineering，2010，136(9)：1 209-1 219.
[26]	ALTUHAFI F N，COOP M R. Changes to particle characteristics associated with the compression of sands[J]. Géotechnique，2011，61(6)：459-471.