Research on the Microstructure Fractal Characteristics of Copper Matrix Composites

Abstract:

Through the analysis and research on the Microstructure of copper matrix composites, according to the fractal theory, calculated microstructure friction dimension of cross section and parallel pressed power side of copper matrix composites under different experimental conditions. The results show that, for parallel pressed power side, fractal dimension reflects the distribution laws of graphite in the sample, the fractal dimension is more larger, the organization chart is more complex, the distribution of graphite is more irregular, so the irregularity of graphite distribution can be described by fractal dimension, fractal dimension can be used as a characterization parameter of organizational form for copper matrix composites. Under the condition of virtually expanded sample，in the view that Sn,Zn and SiO2 is not changed respectively, and the sum of Cu and graphite is 85%,by use of linear regression model to estimate parallel pressed power side of microstructure fractal dimension of different composition in copper matrix composites.

• Periodical: Applied Mechanics and Materials (Volumes 271-272)
• Pages: 177-181
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.271-272.177
• Online since: December 2012
• Authors: Run Bo Ma, Shi Meng Xu, Jian Hua Du
• Keywords: Composite Material, Fractal Dimension, Graphite, Regression Model

References

[1] MANDELBROT B B. The Fractal Geometry of Nature. San Francisco: Freeman (1982).

[2] Liu Xi-yuan, Dou Yuan-ming, Yan Shu-wang and Cao Hai-ying: Study on Microstructure of Soil with Fractal Theory. Building Science Vol. 21(5) (2005), pp.21-25.

[3] Qiao Zhong-yun, Li Ji-ming and Liu Zhan-shan: Fractal Investigation on Wear Behaviour of Reinforced Aluminum Matrix Composite Based on MATLAB. Lubrication Engineering Vol. 32(9) (2007), pp.112-115.

[4] Liu Yang, Yang Yi-tao, and Jiang Lei, ect.: Analysis of the Graphite Particles Distribution in Spheroidal Graphite Cast Iron Based on Multi-fractal Theory. Foundry Vol. 56(2)(2007), pp.167-169.

[5] Wang Pei- zhen, Wang Qin- fang, Zhang Dai- lin. Fractal Dimension Calculation of Coke Image. J. of Anhui University of Technology Vol. 24(2) (2007), pp.199-201.

[6] Jiang Xiu-lei, Zhao Ling, and Xu Zhi-mei: Study on the Fractal Characteristics of Microcellullar Polypropylene. Polymer Materials Science and Engineering Vol. 23(6)(2007), pp.113-116.

[7] Ronnie Mainieri. On the equality of Hausdorff and box counting dimensions. American Institute of Physics Vol. 3 (2) (1993), pp.119-125.

[8] Chen Guo An and Ge Shi Rong: Some Issues about Fractal Characterization of Engineering Surfaces. Lubrication Engineering Vol. 3(1998), pp.3-7.

[9] Peng Rui Dong, Xie He ping and Ju Yang: Computation Method of Fractal Dimension for 2-D Digital Image. Journal of China University of Mining & Technology Vol. 33(1) (2004), pp.19-25.

[10] Zeng Wen-qu and Wang Xiang-yang, ect.: Fracal Theory and Computer Simulation of Fractal. Shenyang: Dong Bei University Publishing House (2001).

[11] Yang Shu-shen, and Shao Long-yi: Estimation of Fractal Dimensions of Images Based on MATLAB. Journal of China University of Mining & Technology Vol. 35(4) (2006), pp.478-482.

[12] MA Run-bo, XU Shi-meng and DU Jian-hua, ect.: Statistical Analysis and Research on the Microstructure Fractal Characteristics of Copper Matrix Composites. Mathematics in Practice and Theory Vol. 42 (7) (2012), pp.155-162.