| 用Monte Carlo方法模拟砂土的自然堆积过程 |
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| 引用本文： | 刘军,刘汉龙.用Monte Carlo方法模拟砂土的自然堆积过程[J].岩土力学,2005,26(Z1):113-117. |
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| 作者姓名： | 刘军 刘汉龙 |
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| 作者单位： | [1]河海大学岩土工程研究所 [2]河海大学岩土工程研究所 南京 |
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| 摘 要： | 用MonteCarlo随机模拟方法模拟砂土颗粒在重力作用下,在圆柱与长方体容器中的自然堆积过程。首先用参考网格法生成一个砂土颗粒的松散结构,松散结构中粒子与粒子、粒子与边界间不存在任何接触;然后启动MonteCarlo随机模拟算法,即给处于松散结构中的每个粒子施加随机位移,得到新构形,如果新构形中粒子间或粒子与边界间发生重叠,则放弃这个构形;如果没有重叠存在,则判别粒子体系的势能变化,运用Metropolis准则来判别这个构形是否被接受,重复这个过程可以得到砂土的密集堆积结构。采用Schinner建议的接触发现算法判别粒子间是否存在重叠,同时详细介绍了粒子与边界间的接触发现算法。模拟结果表明,用MonteCarlo方法模拟砂土的自然堆积结构是非常有效的,可以为砂土的流动、压实等的数值模拟工作提供初始构形。
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| 关 键 词： | MonteCarlo方法 随机模拟 砂土颗粒 自然堆积 |
| 收稿时间： | 2005-01-09 |
Simulating natural packing process of sand grains using Monte Carlo method |
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| LIU Jun,LIU Han-long.Simulating natural packing process of sand grains using Monte Carlo method[J].Rock and Soil Mechanics,2005,26(Z1):113-117. |
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| Authors: | LIU Jun LIU Han-long |
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| Institution: | Research Institute of Geotechnical Engineering, Hohai University, Nanjing 210098, China |
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| Abstract: | The natural packing structure of sand grains under gravity within cylindrical and cuboidal container has been simulated using Monte Carlo method. First, a loose packing structure is generated using reference lattice method. Secondly, Monte Carlo algorithm was launched, i.e. random displacements are imposed on sand grains; as a result, a new configuration was obtained. If overlapping exists between grains and between grains and boundaries, the new configuration is deserted. The potential energy change of particles and Metropolis law employed to identify whether the new configuration is accepted or not. The final dense packing configuration is reached by repeating the above-mentioned process. The contact detection algorithm advised by Schinner was used to identify contacts between particles, and the contact detection algorithm between particles and boundaries was also introduced in detail. The simulation results indicate Monte Carlo method is very valid for simulating sand particles packing under gravity. The simulating results can provide initial configuration for simulating flow and compaction of sand materials. |
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| Keywords: | Monte Carlo method random simulation sand grains natural packing |
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