基于Markov链的岩土材料颗粒破碎演化规律研究

童晨曦; 张升; 李希; 盛岱超

doi:10.11779/CJGE201505013

基于Markov链的岩土材料颗粒破碎演化规律研究 English Version

童晨曦^{1, 2},
张升^1,2,,
李希^{1, 2},
盛岱超^{1, 2}

1. 中南大学土木工程学院,湖南长沙 410075; 2. 高速铁路建造技术国家工程实验室,湖南长沙 410075

基金项目: 国家重点基础研究发展计划（973计划）项目（2014CB047001）; 国家自然科学基金项目（41340012）

详细信息

作者简介:
童晨曦 (1990- ),男,江西上饶人,硕士研究生,主要从事岩土材料颗粒破碎特性等方面的研究。E-mail：tongcx525@163.com。

通讯作者:
张升

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出版历程
- 收稿日期: 2014-08-03
- 发布日期: 2015-05-19

Evolution of geotechnical materials based on Markov chain considering particle crushing

TONG Chen-xi^{1, 2},
ZHANG Sheng^1,2,,
LI Xi^{1, 2},
SHENG Dai-chao^{1, 2}

1. School of Civil Engineering, Central South University, Changsha 410075, China; 2. National Engineering Laboratory for High Speed Railway Construction, Changsha 410075, China

摘要

摘要: 从单一粒径组颗粒破碎演化规律角度入手,研究了多粒径组颗粒破碎演化规律。首先,提出了能够描述单一粒径组颗粒破碎状态的两参数Weibull分布函数;此外,提出了多粒径组颗粒有效破碎概率概念;在上述基础上建立了一个能够较好的描述多粒径组颗粒破碎演化规律的Markov链模型,选取了不同岩土材料、试验条件和颗粒大小下的试验数据对该模型进行了验证,表明提出的模型能够描述各种试验条件下多粒径组颗粒破碎的演化规律。
- 单一粒径组 /
- 多粒径组 /
- Weibull分布 /
- Markov链模型 /
- 演化规律
Abstract: The evolution of multi-size particle materials considering particle crushing is studied considering the evolution of single-size ones. A two-parameter Weibull distribution function is introduced to describe the crushing state of single-size particles. Besides, the concept of effective breaking probability of multi-size particles is proposed. Based on these, a Markov chain model is established to describe the evolution of multi-size particles considering particle crushing. The proposed model is verified by selecting the experimental data under different geotechnical materials, test conditions and particle sizes. The results indicate that the proposed model can approximately describe the evolution of geotechnical materials considering particle crushing.
- single-size particle /
- multi-size particle /
- Weibull distribution /
- Markov chain model /
- evolution

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参考文献(28)

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