基于纤维随机分布模型的复合材料弹性常数预测  

THE PREDICTION OF COMPOSITES′ELASTIC CONSTANTS ON THE BASE OF FIBER-RANDOM-DISTRIBUTION MODEL

作　　者：彭湃 吕剑[1] PENG Pai;LU Jian(Institute of Systems Engineering,CAEP,Mianyang 621900,China)

机构地区：[1]中国工程物理研究院总体工程研究所,绵阳621900

出　　处：《复合材料科学与工程》2021年第3期27-32,共6页Composites Science and Engineering

摘　　要：为了实现复合材料弹性常数的准确预测,本文研究了基于纤维随机分布细观力学模型的数值模拟计算方法。首先采用改进的随机扰动算法实现了对复合材料的纤维随机分布结构特征的表征,并在有限元软件中建立了纤维随机分布的复合材料代表性体积单元(RVE)模型。通过施加周期性边界条件、采用体积均匀化的计算方法,实现了两种典型复合材料的弹性常数的预测,并与传统的四边形规则分布模型预测结果、文献试验结果进行了对比验证。结果表明,采用纤维随机分布的细观力学模型可实现对复合材料弹性常数较为准确的预测。此外,计算结果表明,纤维分布的随机性对复合材料宏观弹性常数的离散度影响较小。In order to achieve the accurate prediction of composites′ elastic constants, a numerical simulation method based on fiber-random-distribution micromechanical model is studied in this paper. Firstly, a modified random disturbing method is used to achieve the characterization of fibers′ random distribution of the composite material, and the representative volume element(RVE) model with random fibers for the composite material is established in the finite element software. By applying periodic boundary conditions and using volume homogenization method, the prediction of elastic constants is achieved for two typical composite materials. The prediction results are compared with the prediction results of the traditional quadrilateral regular distribution model and the experimental data in literature. It shows that the fiber-random-distribution micromechanical model can achieve the prediction of composites′ elastic constants with good accuracy. Besides, the numerical simulation results also show that the fibers′ random distribution has less influence on the dispersion degree of composites′ macroscopic elastic constants.

关 键 词：随机分布 复合材料 RVE模型 弹性常数 离散度 

分 类 号：TB332[一般工业技术—材料科学与工程]