ICCAS OpenIR
Fractal structure and fractal dimension determination at nanometer scale
Zhang, Y; Li, QK; Chu, WY; Wang, C; Bai, CL
1999-09-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume42Issue:9Pages:965-972
AbstractThree-dimensional fractures of different fractal dimensions have been constructed with successive random addition algorithm, the applicability of various dimension determination methods at nanometer scale has been studied. As to the metallic fractures, owing to the limited number of slit islands in a slit plane or limited datum number at nanometer scale, it is difficult to use the area-perimeter method or power spectrum method to determine the fractal dimension. Simulation indicates that box-counting method can be used to determine the fractal dimension at nanometer scale. The dimensions of fractures of valve steel 5Cr21Mn9Ni4N have been determined with STM. Results confirmed that fractal dimension varies with direction at nanometer scale. Our study revealed that, as to theoretical profiles, the dependence of fractal dimension with direction is simply owing to the limited data set number, i.e, the effect of boundaries. However, the dependence of fractal dimension with direction at nanometer scale in real metallic fractures is correlated to the intrinsic characteristics of the materials in addition to the effect of boundaries. The relationship of fractal dimensions with the mechanical properties of materials at macrometer scale also exists at nanometer scale.
KeywordFractures Nanometer Scale Fractal Dimension Simulation
Indexed BySCI
Language英语
WOS IDWOS:000083317400008
PublisherSCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.iccas.ac.cn/handle/121111/75000
Collection中国科学院化学研究所
Corresponding AuthorZhang, Y
Affiliation1.Univ Sci & Technol Beijing, Dept Mat Phys, Beijing 100083, Peoples R China
2.Chinese Acad Sci, Inst Chem, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Y,Li, QK,Chu, WY,et al. Fractal structure and fractal dimension determination at nanometer scale[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1999,42(9):965-972.
APA Zhang, Y,Li, QK,Chu, WY,Wang, C,&Bai, CL.(1999).Fractal structure and fractal dimension determination at nanometer scale.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,42(9),965-972.
MLA Zhang, Y,et al."Fractal structure and fractal dimension determination at nanometer scale".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 42.9(1999):965-972.
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