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在分析炭黑填充橡胶复合材料的宏观与细观特征之间联系的基础上,提出了具有随机分布形态的代表性体积单元,推导并应用了周期性细观结构的边界约束条件,建立了三维多颗粒夹杂代表性体积单元的数值模型,对炭黑填充橡胶复合材料的宏观力学行为进行了模拟仿真。研究表明,该模型通过周期性边界条件的约束保证了宏观结构变形场和应力场的协调性;计算得到的炭黑填充橡胶复合材料的弹性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;该模型对复合材料有效弹性模量的预测结果与实验结果吻合较好,而且比Bergstrom三维模型的预测结果更好,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。
Based on the analysis of the relationship between macroscopic and microscopic features of carbon black-filled rubber composites, the representative volume elements with random distribution are proposed, the boundary constraints of periodic mesostructure are derived and applied, and the three-dimensional The numerical model of multi-granular inclusion representative volume element is used to simulate the macroscopic mechanical behavior of carbon black filled rubber composites. The results show that the model ensures the coordination between the deformation field and the stress field of the macrostructures by the constraint of the periodic boundary conditions. The calculated elastic modulus of the carbon black filled rubber composites is obviously higher than that of the unfilled rubber materials. Black particles accounted for an increase in the volume fraction increases; the model of the composite material effective modulus of elasticity prediction results and experimental results agree well, and better than the Bergstrom three-dimensional model of the prediction results show that the model can be used for carbon Simulation Analysis of Effective Performance of Black Particle Reinforced Rubber Matrix Composites.