基于灵敏度分析的复合材料组分参数识别方法
Parameter identification for components of composites based on sensitivity analysis

为了获取准确的复合材料细观模型，提出了一种复合材料组分参数识别方法。在细观单向碳纤维增强树脂基复合材料（CFRP）有限元模型基础上，构造静态位移场对复合材料组分弹性参数的灵敏度矩阵，以测量位移和有限元计算位移差的二范数为目标函数，针对待识别参数量纲差异较大的问题，利用相对灵敏度提高材料组分弹性参数识别的精度和效率。以纤维均匀分布的复合材料平面模型和纤维随机分布的复合材料实体模型为研究对象，验证所提出组分参数识别方法的有效性和准确性。此外，研究了测点数目及测量误差对识别结果的影响。结果表明：本文提出的复合材料组分参数识别方法在测点数目变化和测量误差影响下仍然稳定。 To obtain the mesoscopic model of composites, an approach on parameter identification of composite components with high accuracy was proposed. Based on the finite element model of micro unidirectional carbon reinforced polymer composite (CFRP), the sensitivity matrix of static displacements with respect to elastic parameters of composite components was formulated and the objective function was defined as the 2-norm of differences between the measured and calculated data on displacements. In order to overcome the problem caused by the magnitude differences between identified variables, the relative sensitivity was chosen to improve the precision and efficiency of parameter identification. The fiber uniform distributed composite plane model and fiber random distributed 3D model were employed respectively to verify the validity and accuracy of the components parameter identification methods. In addition, the influences of number of measuring points and measurement errors on the parameter identification method were revealed. Results show that the identification method of components parameters of composite materials in the presented study is stable considering the influences of number of measuring points and measurement errors. 国家自然科学基金（11602112；11572086）