Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 706326, 10 pages
http://dx.doi.org/10.1155/2012/706326
Research Article

Study of the Fractal and Multifractal Scaling Intervening in the Description of Fracture Experimental Data Reported by the Classical Work: Nature 308, 721–722(1984)

Liliana Violeta Constantin1 and Dan Alexandru Iordache2

1Physics Faculty, University of Bucharest, P.O. Box MG-11, 077125 Bucharest, Romania
2Physics Department, University “Politehnica” of Bucharest, Splaiul Independenţei, 060042 Bucharest, Romania

Received 9 September 2011; Accepted 4 October 2011

Academic Editor: Cristian Toma

Copyright © 2012 Liliana Violeta Constantin and Dan Alexandru Iordache. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Starting from the experimental data referring to the main parameters of the fracture surfaces of some 300-grade maraging steel reported by the classical work published in Nature 308, 721–722(1984), this work studied (a) the multifractal scaling by the main parameters of the slit islands of fracture surfaces produced by a uniaxial tensile loading and (b) the dependence of the impact energy to fracture and of the fractal dimensional increment on the temperature of the studied steels heat treatment, for the fracture surfaces produced by Charpy impact. The obtained results were analyzed, pointing out the spectral (size) distribution of the found slit islands in the frame of some specific clusters (fractal components of the multifractal scaling) of representative points of the logarithms of the slit islands areas and perimeters, respectively.