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基于满足周期性假设和尺度分离假设的渐进展开均匀化原理,应用商业有限元软件ABAQUS实现了快速识别颗粒增强复合材料的等效弹性参数,及获取其宏-细观尺度下的非线性应力应变场信息。在细观尺度上,为了更好地逼近实际的复合材料结构,其增强颗粒采用不同直径和随机分布的球形进行近似。通过对不同颗粒含量的等效弹性参数的误差分析,证明了细观模型构造的合理性。此外,通过宏-细观尺度间的耦合机制,利用ABAQUS多个用户自定义子程序,实现了颗粒增强复合材料的非线性多尺度耦合分析,并提出了一套加速算法。最后据此研究了颗粒增强材料细观模型塑性演化过程对宏观力学性能的影响。由于编写的程序及分析的思路具有良好的通用性,这一工作为研究颗粒增强及其它复合材料的宏观力学性能提供了有益的参考。
Based on the principle of gradual unfolding and homogenization, which meets the assumption of periodicity and scale separation, the commercial finite element software ABAQUS is used to realize the equivalent elastic parameters of the particle-reinforced composite and to obtain the nonlinear stress-strain Field information. At the meso-scale, in order to better approximate the actual composite structure, the reinforcing particles are approximated by spheres of different diameters and randomly distributed. Through the error analysis of the equivalent elastic parameters of different particle contents, the rationality of the meso-model structure is proved. In addition, a nonlinear multi-scale coupling analysis of particle-reinforced composites was implemented by ABAQUS user-defined subroutine through the coupling mechanism between macro-meso-scale and an acceleration algorithm was proposed. Finally, the effect of the plastic evolution process of the particle reinforced material on the macroscopic mechanical properties was studied. Due to the good generality of the programmed and analyzed ideas, this work provides a useful reference for the study of the macro-mechanical properties of particle-reinforced and other composites.