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• 工程地质学与能源地质学 • 上一篇    下一篇

加载速率对岩石单轴压缩试验影响的数值模拟研究

黄靥欢,刘春,张晓宇,秦岩,邓尚   

  • 出版日期:2019-06-20 发布日期:2019-06-27

Numerical Simulation Study on Influence of Loading Rate on Rock Uniaxial Compression Test

HUANGYehuan,LIU Chun,ZHANG Xiaoyu,QIN Yan,DENGShang   

  • Online:2019-06-20 Published:2019-06-27

摘要: 在单轴压缩数值模拟试验中,加载速率由每次边界条件变化幅度和边界条件变化后的平衡计算时间这两个因素共同控
制。同样的加载速率,两个因素的不同组合也会对加载效果有很大的影响。因此,探究以上两因素对岩石单轴压缩数值模拟
试验的影响机制,可对高效进行高精度的各加载速率下的数值模拟试验起到积极作用。本文使用MatDEM软件,基于软件自
动设定的加载区间以及标准平衡迭代,设置不同的应力施加步数Nd与平衡迭代比率Rb,进行不同加载速率下的数值模拟试
验。模拟结果表明:(1)单步加载后平衡迭代次数越多(Rb越大),该步中应力波传播与动能衰减越充分。在最优阻尼条件下,
当单步加载后平衡迭代次数等于40次(Rb等于0.8)时,每步加载中动能充分平衡,可以最低计算量取得准静态模拟结果;
(2)单步加载应力增量越小(Nd越大),数值模拟试验精度越高;(3)当加载速率一定即计算量相同时,为保证更高的模拟试验
精度,应采用低单步应力增量与低单步加载后平衡迭代次数(Nd大、Rb小)的加载方案。本文为定量研究岩石加载速率问题和
相关数值模拟提供了参考。

关键词: 离散元法, MatDEM, 单轴压缩, 加载速率

Abstract: In numerical simulation of uniaxial compression, the loading rate is controlled by the variation range of boundary conditions
and the balance time after each change of boundary conditions. At the same loading rate, different combinations of the two factors will
have a great different on the loading effect. Therefore, exploring the influence mechanism of the above two factors on the numerical
simulation test of rock uniaxial compression can play a positive role in doing the efficient and high-precision numerical simulation test
under various loading rates. Using the MatDEM software, based on the loading area and standard equilibrium iteration which set by the
software automatically, changing the division number Nd and balance rate Rb to alter the loading rates of the uniaxial compression
numerical simulation tests. Through the analysis of the simulation results, the following conclusions can be obtained: (1) After one-step
loading, the more number of equilibrium iterations are, the more sufficient the propagation of the stress wave and kinetic energy
equals 0.8), the kinetic energy will decay sufficiently in each step, and the quasi-static simulation results can be obtained with the
lowest amount of calculation. (2) The smaller the stress increment of single-step loading is (the greater the Nd), the more accurate
numerical simulation results are. (3) When the loading rate is fixed and the amount of calculation is the same, loading schemes with low
single-step stress increment and lower balance iteration times (large Nd and small Rb) after single-step loading should be adopted to
ensure the accuracy of numerical simulation test. This paper provides a reference for quantitative study of rock loading rate and related
numerical simulation.

Key words: Discrete element method, MatDEM, uniaxial compression, loading rate