段青山,安洁洁,黄崇杏,刘杨,李浩,毛汉领.分形理论应用于包装材料性能研究的进展[J].包装工程,2021,42(1):55-67.
DUAN Qing-shan,AN Jie-jie,HUANG Chong-xing,LIU Yang,LI Hao,MAO Han-ling.Progresses on Application of Fractal Theory in Research of Packaging Materials Properties[J].Packaging Engineering,2021,42(1):55-67. |
| 分形理论应用于包装材料性能研究的进展 |
| Progresses on Application of Fractal Theory in Research of Packaging Materials Properties |
| 投稿时间：2020-07-15 |
| DOI：10.19554/j.cnki.1001-3563.2021.01.008 |
| 中文关键词: 分形理论 分形维数 包装材料 性能 |
| 英文关键词: fractal theory fractal dimension packaging materials property |
| 基金项目:广西重点研发计划(桂科AB18221126，2018AB45008);广西清洁化制浆造纸与污染控制重点实验室开放基金(2019ZR02);广西“大学生创新创业训练计划”创新训练项目(202010593205) |
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| 中文摘要: |
| 目的 分形现象广泛存在于包装材料性能等方面，目前尚无系统性的描述，有必要总结分形理论应用于包装材料性能的研究进展，为采用分形方法研究包装材料性能提供参考。方法 从分形特征的提取、分形维数的计算方法等方面，综述应用于金属合金和陶瓷等无机材料、高分子聚合物和复合材料等的分形分析方法。通过包装材料的分形维数模型，分析包装材料的分形特征参数与其性能之间的关系。结果 利用分形分析方法，可以定性和定量表征大量不同种类包装材料的分形特征、微观结构和力学等性能。结论 利用分形理论研究包装材料性能的方法具有普遍性，包装材料性能与分形维数的关系将是分形理论在包装材料性能研究方面的重要发展趋势之一。 |
| 英文摘要: |
| Fractal widely exists in the properties of packaging materials. There is no systematic description at present. It is necessary to summarize the research progress of fractal theory applied to packaging material properties, so as to provide reference for the research of improving packaging properties by fractal application. The fractal analysis methods applied to inorganic materials such as metal alloys and ceramics, high-molecular polymers and composite materials were reviewed from the aspects of fractal feature extraction and fractal dimension calculation methods. Through the fractal dimension model of packaging materials, the relationship between the fractal characteristic parameters and the properties of packaging materials was analyzed. The fractal analysis method can qualitatively and quantitatively characterize the fractal characteristics, microstructure and mechanical properties of a large number of different types of packaging materials. The method of using fractal theory to study the properties of packaging materials is universal. The relationship between the properties of packaging materials and fractal dimension will be one of the important trends of fractal theory in the research of properties of packaging materials. |
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