基于分形插值金属裂纹扩展曲线的拟合研究

Fractal Interpolation Method for Fitting the Fatigue Crack Growth Curve of Metals

利用分形插值原理对金属裂纹扩展曲线进行拟合,分形插值是对复杂空间的一种逼近手段,它能更精细地描述处理对象。也就是说,只要通过一些已知点,即可插出具有分形性质的复杂图形,分形插位运算是在构造的选代函数系(IFS)中逐步进行的,用分形原理求出的描述其特征的函数的这种方法处理数据更精确,易于计算机实现等优点。

The fatigue crack growth curve of the metals fitting was made by doing fractal interpolation. The fractal interpolation is an approximating means for complicated space and describes detailedly the processed objects. In other words, a complicated graph of fractal characteristic can be plotted by doing interpolation along some known points. Using fractal principle this kind of method handling of the function that describes its feature that data more accurate, is easy computer the advantages such as realization.