Duan Qingshan, An Jiejie, Mao Hanling, Liang Dongwu, Li Hao, Wang Shuangfei, Huang Chongxing
School of Light Industry and Food Engineering, Guangxi University, Nanning 530004, China.
Guangxi Key Laboratory of Clean Pulp & Papermaking and Pollution Control, Nanning 530004, China.
Materials (Basel). 2021 Feb 11;14(4):860. doi: 10.3390/ma14040860.
The work is intended to summarize the recent progress in the work of fractal theory in packaging material to provide important insights into applied research on fractal in packaging materials. The fractal analysis methods employed for inorganic materials such as metal alloys and ceramics, polymers, and their composites are reviewed from the aspects of fractal feature extraction and fractal dimension calculation methods. Through the fractal dimension of packaging materials and the fractal in their preparation process, the relationship between the fractal characteristic parameters and the properties of packaging materials is discussed. The fractal analysis method can qualitatively and quantitatively characterize the fractal characteristics, microstructure, and properties of a large number of various types of packaging materials. The method of using fractal theory to probe the preparation and properties of packaging materials is universal; the relationship between the properties of packaging materials and fractal dimension will be a critical trend of fractal theory in the research on properties of packaging materials.
这项工作旨在总结分形理论在包装材料方面的近期研究进展，为包装材料中关于分形的应用研究提供重要见解。从分形特征提取和分形维数计算方法等方面，综述了用于金属合金、陶瓷等无机材料、聚合物及其复合材料的分形分析方法。通过包装材料的分形维数及其制备过程中的分形，讨论了分形特征参数与包装材料性能之间的关系。分形分析方法能够定性和定量地表征大量各类包装材料的分形特征、微观结构和性能。利用分形理论探究包装材料的制备和性能的方法具有通用性；包装材料性能与分形维数之间的关系将是分形理论在包装材料性能研究中的一个关键趋势。
