一种新的纤维增强复合材料细观力学模型

研究了复合材料宏、细观特征之间的联系，将宏观复合材料体中的一点赋予了细现结构特征。基于细现结构周期性假设，建立了一种细观力学模型。模型中用高阶多项式函数模拟基体和增强相中细现位移场，通过对细现单元力学方程的分析与求解，建立了复合材料宏、细观力学变量之间的联系。该细现力学模型，不仅能用于复合材料宏观有效性能的预测及细现应力、应变场的分析，而且容易融入常规有限元法中，实现对复合材料结构的宏、细观一体化分析。以该细观力学模型为基础的计算结果与试验结果及理论计算值具有较好的一致性。

A New Micro-Mechanics Model for Fibrous Composite

Relation between macroscopic and microscopic characteristics is studied. Microscopic characteristic is imposed on a point in macroscopic composite object. A micromechanics model is presented based on the hypothesis of periodicity in composite microstructure. In the model the microscopic deformation fields are described with high-order polynomial functions and the relation between macromechanical and micromechanical variables is obtained after the mechanical equations are analyzed and answered in microscopic elements. With the model the macroscopic effective properties of composites can be predicted and microscopic stress and strain can be analyzed. In addition, the model can be easily brought into finite element method and consequently implement macroscopic and microscopic unified analysis on composite structures. Numerical results based on the model agree well with available results from experiments and theoretical analysis.