Acta Metall Sin  1988, Vol. 24 Issue (2): 142-146    DOI:

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FRACTAL DIMENSION OF FRACTURED SURFACE AND FRACTURE TOUGHNESS IN METALS

MU Zaiqin;LONG Qiwei Institute of Metal Research; Academia Sinica; Shenyang International Centre for Materials Physics; Academia Sinica; Shenyang

MU Zaiqin;LONG Qiwei Institute of Metal Research; Academia Sinica; Shenyang International Centre for Materials Physics; Academia Sinica; Shenyang. FRACTAL DIMENSION OF FRACTURED SURFACE AND FRACTURE TOUGHNESS IN METALS. Acta Metall Sin, 1988, 24(2): 142-146.

Abstract References Related Articles Recommended Metrics Download:  PDF(441KB)  Export:  BibTeX | EndNote (RIS)       Abstract  The slit island method is employed to measure fractal dimensions D_F of fracturedsurfaces under plane strain conditions with the help of an image analysis technique for twohigh strength steels under different heat treatment conditions and at different test temperatures.It is shown that the fractured surfaces are of fractals. The values of D_F decrease smoothlywith an increase of the logarithm values of fracture toughness K_(IC), i. e. the fractal dimensionsD_F are approximately a linear function of the logarithm values of fracture toughness K_(IC). Thisrelationship might reflect the changes in the microstructure that occured during different heattreatments and the changes in the fracture mechanism that occured at different test temperatures.The fractal dimension D_F could be regarded as a measure of fracture toughness in metels. Fi-nally, the experimental results are explained in terms of the relation between critical crack exten-sion force and the true total area of the irregular fracture surfaces. Key words:  fractal dimension      fractured surface      fracture toughness      critical extension force      yardstick length      Received:  18 February 1988      Service E-mail this article Add to citation manager E-mail Alert RSS （） Articles by authors URL:  https://www.ams.org.cn/EN/     OR     https://www.ams.org.cn/EN/Y1988/V24/I2/142 1 Coster M, Chermant J L. Int Metall Rev, 1983; 28: 228 2 Mandelbrot B B, Passoja D E, Paullay A J. Nature, 1984; 308: 721 3 Lung C W. (龙期威)In: Pietronero L, Tosatti E eds. Fractals in Physics, Elsevier Science Publishers B V, 1986: 189 4 Pande C S, Richards L E, Louat N, Dempsey B D, Schwoeble A J. Acta Metall, 1987; 35: 1633 5 Underwood E E, Banerji K. Materials Science and Engineering. 1986; 80． 1 6 冯端,王业宁,丘第荣.金属物理,下册,北京:科学出版社,1975:754 7 Mandelbrot B B. 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