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本文采用随机序列吸附(RSA)方法建立了不同炭黑含量填充橡胶的三维随机细观代表体积单元(RVE),模型中炭黑颗粒位置随机分布,颗粒半径服从均值为32nm的正态分布.以炭黑含量17.1%的填充橡胶为例,详细探讨了确定材料细观模型RVE尺寸L及网格密度的方法,最后利用不同炭黑含量的RVE模型,对炭黑填充橡胶单轴拉伸力学行为进行了模拟.结果表明,炭黑填充橡胶RVE尺寸和粒径比(L/R)大于6时,计算结果几乎不受RVE尺寸影响;确定合适的RVE网格密度既能保证精度要求还能有效提高计算效率;对比有限元结果和实验结果,说明利用本文方法建立的代表体积单元能反映真实材料细观结构特点,能对橡胶宏观力学行为进行预测,对材料设计有一定的指导意义.
In this paper, three-dimensional random representative volume element (RVE) with different carbon black content filled rubber was established by random sequence adsorption (RSA) method. The carbon black particles in the model were randomly distributed and the particle radius obeyed a normal distribution with average value of 32 nm. Taking the 17.1% filler rubber as an example, the method to determine the RVE dimension L and mesh density of the material meshed model is discussed in detail. Finally, the RVE model with different carbon black contents is used to investigate the uniaxial tensile behavior of carbon black filled rubber The simulation results show that the calculated results are almost unaffected by the size of RVE when the RVE size and particle size ratio (L / R) of the carbon black filled rubber are larger than 6. The determination of suitable RVE mesh density can not only ensure the accuracy requirement but also be effective Compared with the finite element results and the experimental results, it is shown that the representative volume elements established by this method can reflect the microscopic structure of the real material, predict the macroscopic mechanical behavior of the rubber, and provide some guidance to the material design.