金属材料表界面形状的分形分析研究现状及展望

代沁津; 刘雪峰; 马欣; 田少杰; 崔庆贺

doi:10.1007/s12613-024-2961-1

Volume 32 Issue 1

Jan. 2025

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文章导航 > 矿物冶金与材料学报（英文） > 2025 > 32(1): 20-38

Qinjin Dai, Xuefeng Liu, Xin Ma, Shaojie Tian, and Qinghe Cui, Research status and prospects of the fractal analysis of metal material surfaces and interfaces, Int. J. Miner. Metall. Mater., 32(2025), No. 1, pp. 20-38. https://doi.org/10.1007/s12613-024-2961-1

Cite this article as:

Qinjin Dai, Xuefeng Liu, Xin Ma, Shaojie Tian, and Qinghe Cui, Research status and prospects of the fractal analysis of metal material surfaces and interfaces, Int. J. Miner. Metall. Mater., 32(2025), No. 1, pp. 20-38. https://doi.org/10.1007/s12613-024-2961-1

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综述

金属材料表界面形状的分形分析研究现状及展望

1)
北京科技大学北京材料基因工程高精尖创新中心, 北京 100083, 中国
2)
北京科技大学现代交通金属材料与加工技术北京实验室, 北京 100083, 中国
3)
北京科技大学材料先进制备技术教育部重点实验室, 北京 100083, 中国
4)
新疆工程学院机电工程学院, 乌鲁木齐 830023, 中国

通讯作者:
刘雪峰 E-mail: liuxuefengbj@163.com

文章亮点

(1) 综述了分形分析在金属各种界面上的研究现状。

(2) 归纳了表界面分形维数与金属材料性能之间的关系。

(3) 指出了金属材料表界面形状分形分析的研究方向。

中文摘要

分形分析作为一种数学分析方法，可以用来定量描述具有自相似或自仿射性质的不规则形状，已被应用于金属材料中各种尺度和维度下的形状表征。常规方法难以定量描述金属材料研究中表界面形状的规则特征与性能的关系，而分形分析能够实现对金属材料形状特征的定量描述，进而建立这些形状特征与金属材料各项性能之间的定量关系。本文从二维平面和三维曲面的角度出发，综述了分形分析在金属析出物界面、金属晶界界面、金属沉积薄膜表面、金属断面、金属加工表面和金属磨损表面等方面的研究现状，归纳了表界面分形维数与金属材料性能之间的关系。从分形分析的研究范围、图像采集方法和计算方法三个角度出发，指出金属材料表界面形状分形分析研究有待发展的方向，并认为揭示表界面分形维数与金属材料性能之间深层机理等将是金属材料分形分析未来的重点研究方向。

关键词:

Review

Research status and prospects of the fractal analysis of metal material surfaces and interfaces

+ Author Affiliations

1)
Beijing Advanced Innovation Center for Materials Genome Engineering, University of Science and Technology Beijing, Beijing 100083, China
2)
Beijing Laboratory of Metallic Materials and Processing for Modern Transportation, University of Science and Technology Beijing, Beijing 100083, China
3)
Laboratory for Advanced Materials Processing of Ministry of Education, University of Science and Technology Beijing, Beijing 100083, China
4)
School of Mechanical and Electrical Engineering, Xinjiang Institute of Engineering, Urumqi 830023, China

Xuefeng Liu is an editorial board member for this journal and was not involved in the editorial review or the decision to publish this article. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Corresponding author:
Xuefeng Liu E-mail: liuxuefengbj@163.com
Received: 21 March 2024; Revised: 24 June 2024; Accepted: 25 June 2024; Available online: 26 June 2024

Abstract

Abstract

As a mathematical analysis method, fractal analysis can be used to quantitatively describe irregular shapes with self-similar or self-affine properties. Fractal analysis has been used to characterize the shapes of metal materials at various scales and dimensions. Conventional methods make it difficult to quantitatively describe the relationship between the regular characteristics and properties of metal material surfaces and interfaces. However, fractal analysis can be used to quantitatively describe the shape characteristics of metal materials and to establish the quantitative relationships between the shape characteristics and various properties of metal materials. From the perspective of two-dimensional planes and three-dimensional curved surfaces, this paper reviews the current research status of the fractal analysis of metal precipitate interfaces, metal grain boundary interfaces, metal-deposited film surfaces, metal fracture surfaces, metal machined surfaces, and metal wear surfaces. The relationship between the fractal dimensions and properties of metal material surfaces and interfaces is summarized. Starting from three perspectives of fractal analysis, namely, research scope, image acquisition methods, and calculation methods, this paper identifies the direction of research on fractal analysis of metal material surfaces and interfaces that need to be developed. It is believed that revealing the deep influence mechanism between the fractal dimensions and properties of metal material surfaces and interfaces will be the key research direction of the fractal analysis of metal materials in the future.
- metal material;
- surfaces and interfaces;
- fractal analysis;
- fractal dimension;
- homogeneity

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