腐蚀和腐蚀模型研究中的分形方法

根据该领域近期进展,介绍分形理论在腐蚀行为描述及腐蚀模型研究等领域的应用.具体分析了一些成功的事例,包括用分维值修正腐蚀波动性指标(如标准偏差),以便更好地描述腐蚀行为;观察腐蚀表面分形特征,如早期大气腐蚀中微液滴尺寸分布和腐蚀表面坑直径及深度分布,并获取分布分维指标;提出腐蚀图像分维的新计算法,并发现其二维分维D2D和三维分维D3D分别代表表面坑直径及深度的分布分维;建立基于分形动力学过程的腐蚀模型,预测金属在大气及土壤中的腐蚀发展,并揭示了分形模型和经验模型之间的参数关联.

FRACTAL METHODS IN STUDYING CORROSION AND CORROSION MODEL

Applications of fractal theory in describing corrosion behaviors and creating corrosion model were introduced based on the recent progresses in the field.Several successful samples were demonstrated in details,namely:(1) to correct the index denoting corrosion fluctuation(e.g.,standard deviation)by fractal dimension(FD) to better describing corrosion behaviors;(2) to observe fractal characteristics on corroded steel surface(e.g.,distribution for micro-droplet formation in early atmosphere and for pit diameter and depth in soil corrosion) and obtain distribution FD;(3) to propose a new approach to estimate 2-dimension FD(D_(2D)) and 3-dimension FD(D_(3D)) of corrosion image and find that they respectively denoted FD for pit diameter and depth distribution;(4) to create corrosion formation model based on fractal dynamic process to predict corrosion developing of metals in soil and atmosphere,and display the parameter-relation between fractal model and experimental model.