颗粒增强橡胶细观力学性能二维数值模拟

Two-dimensional numerical simulation for mechanical behavior of particle reinforced rubber matrix composites

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。

Representative volume element with random distribution pattern has been built and applied to study and analyze the macro mechanical properties of the carbon black filled rubber composites by the micromechanical finite element method.Numerical simulations for the uniaxial compression case have been made by two-dimensional plane strain model.The periodic boundary conditions are imposed on each representative volume element in order to ensure the compatibility of the deformation field.The dependence of the macroscopic stress-strain behavior and the effective elastic modulus of the composites,on particle distribution pattern,particle size,particle stiffness and particle volume fraction has been investigated and discussed.It is shown that the stiffness of the composite is increased considerably with the introduction of carbon black filler particles,and for the filler content of 0.2513,the effective elastic modulus of the composite is more than double the initial modulus of rubber.It is also shown that the effective elastic modulus of the composite is increased with the increase of the particle volume fraction.