中文摘要：

阐述了分形理论的基本概念、分形结构的主要特征以及分维的计算方法,总结了分形理论在木材解剖学、物理学、力学、无损检测及环境学中的应用情况,讨论了利用分形理论对木材细胞壁中纳米纤维的超微构造进行定量表征的可行性。结果表明：木材细胞壁中不同尺寸纤维的结构特征和组合排布关系,符合分形体系所要求的无特征长度和自相似性两大特征,可应用分形的方法对木材细胞壁中纳米纤维的微观构造进行定量表征。

英文摘要：

This paper describes the basic concepts of fractal theory,main characteristics of its structure,dimensional calculation methods and its application on wood anatomy,wood physics,wood mechanics,non-destructive examination and wood environics.It also discusses the feasibility of using fractal theory to describe the ultrastructure of nano-fibers in wood cell wall quantitatively.The results show that the structural characteristics and arrangement relationships of fibers of different sizes in wood cell wall possess two typically properties of fractal system,i.e.,no characteristic length and self-similarity.Hence,fractal theory can be used to describe the ultrastructure of nano-fibers in wood cell wall quantitatively.