纤维增强复合材料宏观与细观统一的细观力学模型

研究了复合材料宏观、细观特征之间的联系,将宏观复合材料体中的1点赋予了细观结构特征。基于细观结构周期性假设,建立了1种细观力学模型,用模型中高阶多项式函数模拟基体和增强相中的细观位移场;通过对细观单元力学方程的分析与求解,建立了复合材料宏观、细观力学变量之间的联系。该细观力学模型,不仅能用于复合材料宏观有效性能的预测及细观应力、应变场的分析,而且能够很容易地融入常规有限元法中,实现对复合材料结构的宏观、细观一体化分析。以该细观力学模型为基础的计算结果与部分文献中的试验结果及理论计算值具有较好的一致性。

Microscopic Mechanics Model Combining Macroscopic on Fiber Reinforced Composite

The relation of macroscopic and microscopic characteristics of the composite is investigated.One of macroscopic composite is endowed with microstructure characteristics.Based on the microstructure periodicity hypothesis,a micromechanics model is established,and the microscopic displacement field of matrix and reinforcement are simulated by using higher order polynomial function of the model.The relation of macromechanics and micromechanics variables of composite is established by analyzing and solving mechanics equation of the microscopic element.The model can be not only applied in the perdition of macroscopic effective property and analysis of micromechanics stress and strain field for composite,but also can be easily merged in conventional finite element method,and completed the integrated macroscopic and microscopic analysis for composite structure.The results of calculations from the model are better consistent with available test data and theoretical calculation in some references.