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测量断口分维的周长-最大直径方法
引用本文:穆在勤,龙期威,康雁.测量断口分维的周长-最大直径方法[J].材料研究学报,1992,6(3):227-231.
作者姓名:穆在勤  龙期威  康雁
作者单位:中国科学院国际材料物理中心中国科学院金属研究所材料疲劳断裂国家重点实验室 (穆在勤,龙期威),中国科学院国际材料物理中心中国科学院金属研究所材料疲劳断裂国家重点实验室(康雁)
基金项目:国家自然科学基金,5880056
摘    要:本文提出了测量断口分维的周长—最大直径方法,并与周长—面积方法进行了对比。当测量码尺很小时,两种方法所测分维比较接近,当测量码尺增加时,周长—面积方法所测分维有下降趋势,而周长—最大直径方法所测分维比较稳定。

关 键 词:小岛法  断口分维  测量码尺
收稿时间:1992-06-25
修稿时间:1992-06-25

A PERIMETER-MAXIMUM DIAMETER METHOD TO MEASURE FRACTAL DIMENSION OF FRACTURED SURFACE
MU Zaiqin,LONG Qiwei,KANG Yan.A PERIMETER-MAXIMUM DIAMETER METHOD TO MEASURE FRACTAL DIMENSION OF FRACTURED SURFACE[J].Chinese Journal of Materials Research,1992,6(3):227-231.
Authors:MU Zaiqin  LONG Qiwei  KANG Yan
Affiliation:MU Zaiqin,LONG Qiwei,KANG Yan(International Centre for Materials Physics,Academia Sinica,State Key Laboratory for Fatigue and Fracture of Materials,Institute of Metal Research,Academia Sinica)
Abstract:A new perimeter-maximum diameter method is advanced to measure the fractaldimension of the fractured surface.The measured value of the fractal dimension by this methodis independent of the length of measuring yardstick.The fractal dimension D_m determined bythe perimeter-area relation of slit island method(SIM)is not the intrinsic fractal dimension Dof a fractured metal surface.The measured value of D_m depends on the yardstick length used tomeasure the perimeter and area.When the length of measuring yardstick is small enough,thefractal dimensions measured by both methods are close to the same value.But the measuredvalue by the perimeter-area relation decreases with an increase of length of measuring yardstick.
Keywords:slit island method  fractal dimension of fractured surface  measured yardstick  
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