基于Markov链的岩土材料颗粒破碎演化规律研究

Evolution of geotechnical materials based on Markov chain considering particle crushing

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。

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.