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Fractal characterization of the fracture surface of a high-strength low-alloy steel

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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

  1. B. B. MANDELBROT, D. E. PASSOJA and A. J. PAULLAY, Nature 308 (1984) 721.

    Google Scholar 

  2. B. B. MANDELBROT, “The Fractal Geometry of Nature” (Freeman, New York, NY, 1982), p. 109.

    Google Scholar 

  3. J. J. MECHOLSKY and T. J. MACKIN, J. Mater. Sci. Lett. 7 (1988) 1145.

    Google Scholar 

  4. J. J. MECHOLSKY, D. E. PASSOJA and K. S. FEINBERGRINGEL, J. Amer. Ceram. Soc. 72 (1989) 60.

    Google Scholar 

  5. C. T. CHEN and J. RUNT, Polym. Commun. 30 (1989) 334.

    Google Scholar 

  6. C. S. PANDE, L. E. RICHARD, N. LOUAT, B. D. DEMPSEY and A. J. SCHWOEBLE, Acta Metall. 35 (1987) 1633.

    Google Scholar 

  7. Z. Q. MU and C. W. LUNG, Phys. D Appl. Phys. 21 (1988) 848.

    Google Scholar 

  8. C. W. LUNG and Z. Q. MU, Phys. Rev. B 38 (1988) 11781.

    Google Scholar 

  9. C. W. LUNG and S. Z. ZHANG, Physica D 38 (1989) 242.

    Google Scholar 

  10. R. J. JESSEMAN and G. C. SCHMID, Weld. J. 62 (1983) 321s.

    Google Scholar 

  11. T. W. MONTEMARANO, B. P. SACK, J. P. GUDAS, M. G. VASSILAROS and H. H. VANDERVELDT, J. Ship Production 2 (1986) 145.

    Google Scholar 

  12. T. L. ANDERSON, J. A. HYATT and J. C. WEST, Weld. J. 66 (1987) 21.

    Google Scholar 

  13. 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.

    Google Scholar 

  14. W. BOLLIGER, R. VARUGHESE, E. KAUFMANN, W. F. QIN, A. W. PENSE and R. S. STOUT, ibid., p. 277.

    Google Scholar 

  15. M. COSTIN and J. L. CHERMANT, Int. Metall. Rev. 28 (1983) 228.

    Google Scholar 

  16. J. J. FRIEL and C. S. PANDE, J. Mater. Res. 8 (1993) 100.

    Google Scholar 

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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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