Implementation of elastic-plastic multi-scale analysis and application in particle reinforced composites
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摘要: 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。Abstract: Based on asymptotic expansion homogenization theory, which satisfies the assumptions of periodicity and separation of two length scales, the effective elastic properties were identified fast for particle reinforced composites and its macro-micro stress field information were also conveniently obtained by the second-development of ABAQUS. In order to approximate the actual composite structure, the randomly distributed spherical particles considering different sizes and contents were adopted in micro-scale model. The effective elastic parameters were extracted from the micro-scale model with finite element analysis and the error analysis was carried out for validating the simulation method. Besides, the nonlinear coupled multi-scale analysis method, based on the couple mechanism of two scales, was realized by using the user defined subroutines in ABAQUS, which is cooperated with a computationally efficient method. Finally, the influence of the plasticity evolution in micro-scale model in terms of particle reinforced materials on the macro mechanical properties was studied. Since the present method and codes are also applicable for the other composite materials, this work can provide useful reference for the study of other composite materials.
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