ESTIMATION OF THE FRACTAL DIMENSION OF FRACTURE SURFACE PATTERNS BY BOX-COUNTING METHOD-Reference-Cited by-同舟云学术

ESTIMATION OF THE FRACTAL DIMENSION OF FRACTURE SURFACE PATTERNS BY BOX-COUNTING METHOD

Published:1999-09 Issue:03 Volume:07 Page:335-340
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

TANAKA MANABU¹,KAYAMA ATSUSHI¹,KATO RYUICHI¹,ITO YOSHIAKI¹

Affiliation:

1. Department of Mechanical Engineering, Faculty of Engineering and Resource Science, Akita University, 1-1 Tegatagakuen-cho, Akita 010-8502, Japan

Abstract

In the box-counting method, positioning of images do not significantly affect the estimation of the fractal dimension of river pattern on the brittle fracture surface, and that of dimple pattern on the ductile fracture surface of materials. A reasonable estimation of the fractal dimension can be made using the box-counting method by a single measurement on the fracture surface pattern. The fractal dimension of dimple pattern in pure Zn polycrystals (about 1.50) is larger than that of river pattern in soda-lime glass (about 1.30). Personal difference in image processing does not have a large influence on the estimation of the fractal dimension of grain-boundary fracture surface profile, compared with the effects of local variation in fracture pattern concerning image size.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X99000335

Reference16 articles.

1. Fractal character of fracture surfaces of metals

2. On the interpretation of the fractal character of fracture surfaces

3. Characterization of grain-boundary configuration and fracture surface roughness by fractal geometry and creep-rupture properties of metallic materials

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