用小角X射线散射研究亚麻纤维分形维数与断裂强度的关系

摘要

用小角X射线散射法（SAXS）研究亚麻纤维的孔隙结构分形特征，并且分析亚麻纤维断裂强度与分形维数之间的关系.结果表明：SAXS是测试分形维数的一种有力工具；亚麻纤维的分形维数是2~3之间的分数，属于表面分形；亚麻纤维的分形维数与断裂强度之间的关系可以用二次曲线来拟合，拟合相关度R2能够达到0.9086，具有很好的相关性，且亚麻纤维的断裂强度随着其分形维数的增大而减小.%The small angle X-ray scattering (SAXS) is used to study the fractal of flax fiber pore structure, and the relationship between the breaking strength and fractal dimension of flax fiber is analyzed. The results show that SAXS is a powerful tool to test the fractal dimension;the fractal dimension of flax fiber is 2-3 which is surface fractal;the relationship between the breaking strength and fractal dimension of flax fiber can be fitted by a quadratic curve , the fitting correlation coefficient R2 is 0.908 6 and has a good correlation, and the breaking strength is anti-related with fractal dimension.