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。
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.
基金
国家自然科学基金
5880056
关键词
金属材料
断裂
测量
小岛法
断口
slit island method
fractal dimension of fractured surface
measured yardstick
