两种线分维及线分维与面分维间关系  

Relationships of Two Kinds of Linear Fractal Dimensions and Linear Area Factual Dimentions

作　　者：吕铮[1] 马常祥[1] 龙起易[2] 李桂芬[3] 董瀚[3] 

机构地区：[1]东北大学理学院 [2]中科院金属研究所 [3]冶金部钢铁研究总院

出　　处：《东北大学学报（自然科学版）》1997年第1期17-20,共4页Journal of Northeastern University(Natural Science)

基　　金：冶金工业部"八五"科技攻关项目

摘　　要：分别用二次电子扫描线法和垂直抛面法对不同回火制度的３０ＳｉＭｎＣｒＮｉＭｏＢ钢的冲击断口表面的分形维数进行了测量．通过研究发现：平行裂纹扩展方向的分维更适合于描述材料韧性的变化．本文通过实验测得的分维与韧性间的关系建立了二次电子扫描线法与垂直抛面法测得的分维间的关系；In this paper,fractal dimensions of impact fractured surface of 30SiMnCrNiMoB steels under different temper conditions are measured by the secondary electron line scanning method and vertical section method. It is found that the fractal dimensions along crack propagation is preferable to describe the change of material toughness. The relationship between fractal dimensions from the secondary electron line scanning method and fractal dimensions from vertical scetion method is obtained and the relationship of linear fractal dimension and area fractal dimension is deduced.

关 键 词：线分维 面分维 钢 金属材料 断裂 断口 

分 类 号：TG111.91[金属学及工艺—物理冶金]