中文摘要：

开发随机排列的模拟非织造材料表面及截面生成程序,针对3种不同的纤维直径,生成非织造材料表面及截面的纤维结构分布,并采用计算机软件分别计算其分形维数和填充率.通过大量的计算机模拟计算数据及关联回归分析,得出模拟的非织造材料表面及截面的分形维数与其填充率和纤维直径之间关系的关联表达式.结果表明：非织造材料具有分形特征,其结构可采用分形维数进行描述;而其分形维数与纤维填充率及纤维直径之间存在一定的关联规律,模拟的非织造材料的表面分形维数关联表达式的计算结果与实测相对误差小于4.83％;非织造材料表面分形维数与截面分形维数关联表达式的计算结果进行比较,其平均绝对误差为0.163.非织造材料表面分形维数与截面分形维数计算式具有相同的表达形式.

英文摘要：

Two programs are developed to generate non-woven material surface and cross-section, fibers are in surface and cross-section that is randomly arranged. Non-woven material surface and cross-section with three different fiber diameters are generated, then computer software is used to calculate their fractal dimension and solid volume fraction. The fraetal dimension of non-woven material surface and cross-section is expressed as a function of solid volume fraction and fiber diameter based on the analysis of a large number of computer simulation data. The results show that the fractal dimension can be used to describe the structure of non-woven materials, a certain degree of associated law among the fractal dimension, solid volume fraction and fiber diameter is found. The error between calculation results derived through non-woven material surface fractal dimension associated expression and the actual measurement results is less than 4.83%. The results obtained from fractal dimension associated expression of non-woven material surface and cross-section are compared, the average error is 0. 163. Non-woven material surface fractal dimension computation formula has the same expression form with the cross- section fractal dimension.