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�������պ����ѧѧ�� 2009, Vol. 35 Issue (7) :852-855    DOI:
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Fractal characterization of uniformity of discrete phase in nanocomposites
Nie Peng, Wang Xinxin, Gao Ji, Zhang Kaifeng*
College of Mechanical and Electrical Engineering, Shenyang Institute of Areonautical Engineering, Shenyang 110136, China

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Abstract�� The traditional method to evaluate uniformity of discrete phase in polymer nanocomposite is deficient. A quantitative description method was proposed to evaluate uniformity of filling particles in polymer nanocomposite. The method is based on the mathematical model of fractals theory and takes the TEM(transmission electron microscope) image of polymer nanocomposite as the research object. An evenly distributed dispersed phase of the mathematical model was established by using a natural sub-fractal dimension formed by discrete objects. Then, the polymer nanocomposite TEM image was processed with image processing. Circles were drawn with different radius and with the TEM image-s centroid as the circle center. The particle counts and gyration radius were extracted from the circles of the different radius and made coordinates of linear fitting in bi-logarithm. The reciprocal value of the linear slope just is uniformity parameter, which can be used as the evaluating indicator to evaluate the uniformity. The method was applied to describe the polymer-nano-particle composites, and the feasibility of the evaluating was verified.
Keywords�� nanocomposite   discrete phase   uniformity     
Received 2008-05-28;
About author: �� ��(1972-),��,����ʡ��������,��ʿ��, niehit@163.com.
�� ��, ������, �� ��, ���Ƿ�.���׸��ϲ��Ϸ�ɢ���ɢ�����Եķ��α���[J]  �������պ����ѧѧ��, 2009,V35(7): 852-855
Nie Peng, Wang Xinxin, Gao Ji, Zhang Kaifeng.Fractal characterization of uniformity of discrete phase in nanocomposites[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2009,V35(7): 852-855
http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2009/V35/I7/852
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