粗粒土颗粒破碎的级配转移矩阵研究

doi:10.13722/j.cnki.jrme.2020.1109

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摘要级配转移矩阵通过建立颗粒破碎前后各粒径百分含量向量的关系，能有效地描述粗粒土破碎过程中的级配演化。现有的级配转移矩阵忽略了不同粒径组颗粒的破碎差异，且不能考虑颗粒发生诸如研磨等现象后其粒径分组未改变的情况。为此，提出一种新的级配转移矩阵求解方法：首先基于大量的单颗粒点荷载试验，提出能够描述单颗粒破碎后子颗粒粒径分布的Hill分布函数；在此基础上，将单颗粒的破碎演化规律引入到离散元模拟中，基于子颗粒替代法，对不同粒径组颗粒采用相应的阿波罗填充模式，开展一系列多粒径组试样的一维压缩试验，最后通过追踪各粒径子颗粒来源，求解土体级配转移矩阵。该研究克服了传统数值方法中子颗粒数量和粒径分布选择较为主观的缺点，可较好地反映不同粒径组颗粒的破碎演化规律。

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	董宗磊1
	童晨曦1
	张升1
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	盛岱超1
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关键词 ：土力学, 粗粒土, 级配转移矩阵, 点荷载试验, Hill分布, 离散元法

Abstract：Breakage transition matrix can effectively describe the evolution of particle size distributions(PSDs) of granular soils by establishing the relationship between the percentage vectors of each size of particles before and after breakage. The existing breakage transition matrix neglects the breakage difference of different size groups of particles，and fails to consider the fact that the daughter particles fall into the original groups after surface grinding occurs. Therefore，this paper proposes a new method for calculating the breakage transition matrix. Firstly，a Hill distribution function，which can describe the distribution of the daughter particles，was proposed based on the point load test of single particle. Such a breakaed law of single particle was then introduced to DEM simulations. A series of one-dimensional compression tests were carried out based on the replacement method and the Apollo filling mode. Finally，the breakage transition matrix was obtained by tracing the breakage paths of particles with different sizes. This research overcomes the disadvantages of the traditional replacement method in numerical simulations that the choices of the number and distribution of the daughter particles are subjective，and provides an alternative approach for studying the evolution of particle breakage of granular soils.

Key words： soil mechanics')" href="#">

soil mechanics granular soil breakage transition matrix point load test Hill distribution ')" href="#">discrete element method

引用本文:

董宗磊1，童晨曦1，张升1，2，盛岱超1，2. 粗粒土颗粒破碎的级配转移矩阵研究[J]. 岩石力学与工程学报, 2021, 40(7): 1504-1512.
DONG Zonglei1，TONG Chenxi1，ZHANG Sheng1，2，SHENG Daichao1，2. Study on breakage transition matrix of granular soils. , 2021, 40(7): 1504-1512.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.1109 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I7/1504

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