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通用单胞模型常被应用在复合材料细观力学分析上。但原始的通用单胞模型存在求解量大、计算效率低的问题。该文对其改进,建立了以子胞界面细观应力为未知量的细化单胞模型。利用该模型研究复杂的微观结构包括纤维截面形状/排列方式,界面相材料属性/几何厚度,夹杂/空隙对单向纤维复合材料宏观弹性常数的影响。通过与其他研究方法和试验数据对比证实了该预测模型具有更高的计算效率,计算精度和更广泛的普适性。该文模型子胞划分更细致,克服了原始通用单胞模型无法分析复杂微观结构的不足。有望将损伤力学引入该模型中建立一个有力的分析工具,来进行复合材料结构宏/细观多尺度损伤力学分析。
Common unit cell model is often used in composite micromechanics analysis. However, the original universal cell model has the problems of large solution quantity and low computational efficiency. In this paper, an improved unit cell model is established based on the unknowns that the mesostructure stress is unknown. Using this model to study complex microstructures, including the shape and arrangement of fibers, the properties of interfacial phase material / geometric thickness, and the inclusion / voids influence the macroscopic elastic constants of unidirectional fiber composites. Compared with other research methods and experimental data, it is proved that the prediction model has higher computational efficiency, higher computational precision and wider universality. The model sub-cell division more detailed, to overcome the original universal cell model can not analyze the complex microstructure deficiencies. It is expected that the introduction of damage mechanics into the model to establish a powerful analytical tool for the composite structure of macro / microscopic multi-scale damage mechanics analysis.