Perimeter–maximum-diameter method for measuring the fractal dimension of a fractured surface

Z. Q. Mu, C. W. Lung, Y. Kang, and Q. Y. Long
Phys. Rev. B 48, 7679 – Published 1 September 1993
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Abstract

A perimeter–maximum-diameter method is proposed for measuring the fractal dimension of a fractured surface. The measured values of the fractal dimension by this method seem independent of the length of the yardstick. However, the fractal dimensions Dm measured by the perimeter-area method decrease as the yardstick length increases. When the length of the yardstick is small enough, the value of Dm measured by the latter method approaches the value measured by the present method.

  • Received 9 February 1993

DOI:https://doi.org/10.1103/PhysRevB.48.7679

©1993 American Physical Society

Authors & Affiliations

Z. Q. Mu

  • International Centre for Materials Physics and State Key Laboratory for Fatigue and Fracture of Materials, Institute of Metal Research, Academia Sinica, Shenyang 110015 People’s Republic of China

C. W. Lung

  • International Centre for Materials Physics, Academia Sinica, Shenyang 110015 People’s Republic of China

Y. Kang

  • State Key Laboratory for Fatigue and Fracture of Materials, Institute of Metal Research, Academia Sinica, Shenyang 110015 People’s Republic of China

Q. Y. Long

  • International Centre for Materials Physics and State Key Laboratory for Fatigue and Fracture of Materials, Institute of Metal Research, Academia Sinica, Shenyang 110015 People’s Republic of China

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Vol. 48, Iss. 10 — 1 September 1993

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