Studies were made of the calculation of fractal dimension of transverse impact fracture sur-face,and of the correlation between impact toughness of steel and parameters of free-cuttingphase by means of the developed fractal geometry model of crack propagation.It is believedthat the area fraction,f,of free-cutting phase is negligibly influential to the longitudinal im-pact toughness,as f1 .While the aspect ratio,saying ratio of length to width,of free-cut.ting phase is inversely influential to the transverse impact toughness.This may .be the reasonwhy the transverse impact toughness of free-cutting steel containing more rare earth contrastto sulphur is even higher than the low sulphur containing steel.
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