摘要
按照分形理论研究了具有自相似和自仿射分形结构的复杂表面 ,并研究了其在Ⅰ型 +Ⅱ型和Ⅰ型 +Ⅲ型混合载荷下形成的断裂表面的应用。结果指出 :分维D与粗糙度指数H之间的关系 (D +H =2或D×H =1)只是粗略的近似。用分维D或粗糙度指数H测量断裂表面 ,在双对数图上得到的是实验曲线而不是直线并不说明没有分形结构 。
An extensive study of cracked surfaces under complex loading which showed self-similar and self-affine fractal properties was performed. Fractal analysis of the fractured surfaces with fractal dimension D or roughness index H was also discussed. The results indicated that the relations between D and H (D+H=2 or D×H=1) were only a rough estimation. Experimental curves that are not straight line in the log-log plot, if you measure the fractal dimension or roughness index of cracked surfaces, could not mean no fractal structure. It might be fractals with mixed structure of self-similarity and self-affinity.
出处
《高压物理学报》
EI
CAS
CSCD
北大核心
2001年第3期178-185,共8页
Chinese Journal of High Pressure Physics
基金
国家自然科学基金资助 (19874 0 64
5 96710 39)
