材料工程2026，Vol.54Issue(5)：200-212,13.DOI:10.11868/j.issn.1001-4381.2024.000349
基于分形理论的多孔材料设计及表征研究进展
Research progress in design and characterization of porous materials based on fractal theory
摘要
Abstract
The complexity of cavities,randomness of pore distribution,and multi-scale of pore size in porous materials make it difficult to quantitatively characterize pore microstructure.In recent years,fractal theory attracts more attention because of its unique advantages in portraying the self-similarity and multi-scale of complex structures.This paper reviews the development roadmap of fractal theory and its applications on porous materials,analyzes the single and multi-fractal feature extraction and characterization methods for porous materials at different scales,summarizes some advanced engineering material applications based on multifractal optimization,and discusses the research progress in the applications of fractal theory to the characterization of mechanical,thermal and permeability properties of porous materials.During the optimization design and performance characterization process of porous materials based on fractal theory,the main issues and shortcomings including the ambiguity of correlation mechanism between micro structure and macro multi-functional characteristics,and low efficiency and accuracy for prediction models and/or optimization algorithm are pointed out.The development trend and potential engineering applications of fractal theory such as the consideration of cross-scale effect,multi-physics coupling analysis,and optimization strategy based on machine learning are prospected.关键词
多孔材料/分形维数/特征提取/分形结构设计/多功能特性Key words
porous material/fractal dimension/feature extraction/fractal structure design/multi-functional characteristic分类
通用工业技术引用本文复制引用
薛新,葛绍祥,魏雨函,廖娟..基于分形理论的多孔材料设计及表征研究进展[J].材料工程,2026,54(5):200-212,13.基金项目
国家自然科学基金项目(12272094) （12272094）
福建省自然科学基金项目(2024J01244) （2024J01244）
