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在细观层次上建立了具有随机分布形态的代表性体积单元,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宏观力学性能进行了研究。采用二维平面应变模型进行单轴压缩模拟仿真,通过施加周期边界条件保证了代表性体积单元变形场的协调性。重点研究讨论了颗粒的随机分布形态和粒径大小、刚度、体积分数对复合材料宏观应力-应变关系曲线和有效弹性模量的影响。结果表明:炭黑颗粒的填充显著提升了橡胶材料的刚度,在炭黑含量Vf=0.2513时,复合材料的有效弹性模量值高于橡胶初始模量值的2倍;复合材料的有效弹性模量随颗粒所占体积分数的增加而增大。
At the meso level, the representative volume units with random distribution were established. The macroscopic mechanical properties of the rubber composites filled with carbon black particles were studied by the meso-mechanics finite element method. Uniaxial compression simulation is carried out by using two-dimensional plane strain model, and the coordination of the deformation field of the representative volume element is ensured by applying periodic boundary conditions. Focus on the study discussed the random distribution of particle size and particle size, stiffness, volume fraction of the composite material macro-stress-strain curve and the effective elastic modulus. The results show that the filling of carbon black particles significantly enhances the stiffness of the rubber material. When the carbon black content Vf is 0.2513, the effective elastic modulus of the composites is 2 times higher than that of the rubber. The effective elastic modulus The amount increases as the volume fraction of particles increases.