SYMPOSIA PAPER Published: 01 January 1991

Treatment of Reversed Sigmoidal Curves for Fractal Analysis


A modified fractal equation is proposed for the irregular profiles obtained from metal fracture surfaces. Experimental results do not conform to the self-similitude postulate of Mandelbrot. Instead a reversed sigmoidal curve is obtained in the fractal plot. A new procedure is developed whereby a linear fractal plot and a constant fractal dimension are obtained. A parallel fractal equation is provided for rough, irregular surfaces. The details of the new analyses are presented in depth, emphasizing the assumptions and advantages underlying the adopted procedure.

Author Information

Underwood, EE
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Developed by Committee: E04
Pages: 354–364
DOI: 10.1520/STP17278S
ISBN-EB: 978-0-8031-5162-8
ISBN-13: 978-0-8031-1399-2