Abstract
The fractal dimension of fracture surfaces of a high-strength low-alloy steel (ASTM A710) has been measured using different ruler lengths. The fractal dimension increases with increasing impact toughness, E, and can be expressed by the quantitative relationship, E=E0e25D′, where E0=1.9 J representing the impact toughness in Euclidean space, and D′ is the fractal dimensional increment, defined by D′=DS−2=DL−1 and DS and DL are respectively, the surface and linear fractal dimensions. © 1998 Kluwer Academic Publishers
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References
B. B. MANDELBROT, D. E. PASSOJA and A. J. PAULLAY, Nature 308 (1984) 721.
B. B. MANDELBROT, “The Fractal Geometry of Nature” (Freeman, New York, NY, 1982), p. 109.
J. J. MECHOLSKY and T. J. MACKIN, J. Mater. Sci. Lett. 7 (1988) 1145.
J. J. MECHOLSKY, D. E. PASSOJA and K. S. FEINBERGRINGEL, J. Amer. Ceram. Soc. 72 (1989) 60.
C. T. CHEN and J. RUNT, Polym. Commun. 30 (1989) 334.
C. S. PANDE, L. E. RICHARD, N. LOUAT, B. D. DEMPSEY and A. J. SCHWOEBLE, Acta Metall. 35 (1987) 1633.
Z. Q. MU and C. W. LUNG, Phys. D Appl. Phys. 21 (1988) 848.
C. W. LUNG and Z. Q. MU, Phys. Rev. B 38 (1988) 11781.
C. W. LUNG and S. Z. ZHANG, Physica D 38 (1989) 242.
R. J. JESSEMAN and G. C. SCHMID, Weld. J. 62 (1983) 321s.
T. W. MONTEMARANO, B. P. SACK, J. P. GUDAS, M. G. VASSILAROS and H. H. VANDERVELDT, J. Ship Production 2 (1986) 145.
T. L. ANDERSON, J. A. HYATT and J. C. WEST, Weld. J. 66 (1987) 21.
A. D. WILSON, E. G. HAMBURG, D. J. COLVIN, S. W. THOMPSON and G. KRAUSS, in “Proceedings of Microalloying '88” (ASM International Press, Metals Park, OH, 1988) p. 259.
W. BOLLIGER, R. VARUGHESE, E. KAUFMANN, W. F. QIN, A. W. PENSE and R. S. STOUT, ibid., p. 277.
M. COSTIN and J. L. CHERMANT, Int. Metall. Rev. 28 (1983) 228.
J. J. FRIEL and C. S. PANDE, J. Mater. Res. 8 (1993) 100.
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Hsiung, J.C., Chou, Y.T. Fractal characterization of the fracture surface of a high-strength low-alloy steel. Journal of Materials Science 33, 2949–2953 (1998). https://doi.org/10.1023/A:1004302629826
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DOI: https://doi.org/10.1023/A:1004302629826