根据三维正交机织复合材料的结构特点,在假设纤维束横截面为矩形的基础上建立一种单胞模型,该模型由3组互相正交的纤维与基体组成.首先利用这一模型,推导出纤维体积分数与纤维粗度、机织密度等织物参数的关系式,通过测量单胞单元的单层厚度得到纤维体积分数,计算值和实验值较为吻合.然后在假定纤维和基体均为线弹性材料的基础上,利用材料力学方法推导出了3个正交方向的杨氏模量表达式,该表达式简单明了,给出了三维正交机织复合材料杨氏模量与纤维和基体的杨氏模量以及纤维体积分数间的关系,算例的计算结果与实验值有良好的一致性,这说明所建立的单胞模型具有合理性.
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