基于分形理论的木材顺纹理断裂研究  

Study on Wood Fracture Parallel to Grain Based on Fractal Theory

作　　者：季坤[1] 邵卓平[1] 徐斌[1] 

机构地区：[1]安徽农业大学林学与园林学院,安徽合肥230036

出　　处：《生物数学学报》2009年第1期177-182,共6页Journal of Biomathematics

基　　金：国家自然科学基金(30571452)

摘　　要：研究5种木材顺纹理断裂性质和断面分形特征,测量断口表面的分形维数,建立了分形维数与断裂韧性间的关系.研究结果表明:(1)不同树种因其构造差异对裂纹扩展的阻力不同,这种差异同样也表现在材料断裂表面的形貌特征上;(2)木材顺纹理断裂韧性K_(IC)^(TL)与分形维数D之间有很高的正比关系:y=0.036x+2.162,(R^2=0.98),揭示了断口分形维数与材料性能之间的内在联系.Studies on fracture and fractal characteristics of five kinds lumbers,measures fractal dimensions on fracture surface.The results show that：（l）the fracture resistance are differences because textural diversity of the different species,this types of difference also displays in the material break surface;（2）the toughness of wood fracture KTLIC is directly proportional to the fractal dimension D,the relation is y=0.036x＋2.162,（R^2=0.98）.The internal relations between the fractal dimension of a fracture and the properties of materials are revealed.

关 键 词：木材断裂 分形 断裂韧性 分形维数 

分 类 号：S781.29[农业科学—木材科学与技术]