炭黑增强橡胶复合材料力学行为的三维数值模拟

本文基于炭黑填充橡胶复合材料具有周期性细观结构的假设，采用一种新的、改进的随机序列吸附算法建立了三维多球颗粒随机分布式代表性体积单元，并通过细观力学有限元方法对炭黑颗粒填充橡胶复合材料的力学行为进行了模拟仿真。研究结果表明：采用改进的随机序列吸附算法所建立的模型更加便于有限元离散化；模拟中周期性边界条件的约束，使其更加符合实际约束的真实情况；炭黑填充橡胶复合材料的有效模量明显高于未填充橡胶材料，并随着炭黑颗粒所占体积分数的增加而增大；通过比较发现，本文提出的多球颗粒随机分布式三维数值模型对复合材料的应力-应变行为和有效弹性模量的预测结果与实验结果吻合良好，证实了该模型能够用于炭黑颗粒增强橡胶基复合材料有效性能的模拟分析。

Three Dimensional Numerical Simulation for Mechanical Behavior of Carbon Black Filled Rubber Composites

Based on the hypothesis of periodic well-distributed microstructure of carbon black filled rubber composites, three-dimensional Representative Volume Elements containing multi-sphere particles randomly distributed have been generated using a new modified Random Sequential Adsorption algorithm, and the macro mechanical properties of the carbon black filled rubber composites have been studied and analyzed by the micromechanical finite element method. The research shows that the models generated by the modified Random Sequential Adsorption algorithm are more suitable for finite element discretization and the simulations can describe the reality better by the periodic boundary conditions. It’s also shown that the modulus of the rubber composite is increased considerably with the introduction of carbon black filler particles, and the effective elastic modulus of the rubber composite is increased with the increase of the particle volume fraction. By comparison, it is shown that the results of the predictions on the stress-strain behavior and the effective elastic modulus of the rubber composite made with this three-dimensional numerical model containing multi-sphere particles randomly distributed are consistent well with the experimental results, which demonstrate that this model can be used for simulation analysis of effective properties of the carbon black filler particle reinforced rubber matrix composites.