Study on Characterization of Materials Using Fractal Theory

Research Project

Project/Area Number	07805012
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Single-year Grants
Section	一般
Research Field	Materials/Mechanics of materials
Research Institution	Kokushikan University
Principal Investigator	NISHIHARA Tadashi Kokushikan University, Faculty of Engineering, Professor, 工学部, 教授 (80103638)
Project Period (FY)	1995 – 1996
Project Status	Completed (Fiscal Year 1996)
Budget Amount *help	¥2,100,000 (Direct Cost: ¥2,100,000) Fiscal Year 1996: ¥500,000 (Direct Cost: ¥500,000) Fiscal Year 1995: ¥1,600,000 (Direct Cost: ¥1,600,000)
Keywords	fractal / fractal dimension / image analyzer / box-counting / cast iron / flake graphite shape / nodular graphite shape / flactal / flactal dimension / graphite shapes
Research Abstract	The concept of fractal dimension has been applied to the description of the morphologies of graphite shapes of cast iron. The fractal dimension of the image surfaces ws experimentally determined by using the Box-counting theorem. The results obtained are as follows : (1) The fractal dimension of the gray iron changed corresponding to the types of flake graphite shapes. (2) The Box-counting plots for the graphite shapes were classified into two linear parts characterized by two fractal dimensions. The fractal approach could be available to graphite shape characterization. (3) The fractal dimension of the matrices of cast irons were estimated to be about 1.99.