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| Study on breakage transition matrix of granular soils |
| DONG Zonglei1，TONG Chenxi1，ZHANG Sheng1，2，SHENG Daichao1，2 |
| (1. School of Civil Engineering，Central South University，Changsha，Hunan 410075，China；2. National Engineering Laboratory for High Speed Railway Construction，Central South University，Changsha，Hunan 410075，China) |
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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.
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2021, Vol. 40 
