STP1094

    Treatment of Reversed Sigmoidal Curves for Fractal Analysis

    Published: Jan 1991


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    Abstract

    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.

    Keywords:

    Fracture surfaces, fracture profiles, fractal analysis, reversed sigmoidal curves, modified fractal dimensions


    Author Information:

    Underwood, EE
    Professor Emeritus, Georgia Institute of Technology, Atlanta, GA


    Paper ID: STP17278S

    Committee/Subcommittee: E04.01

    DOI: 10.1520/STP17278S


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