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The fractal nature of the surface of cement paste
Affiliation:1. School of Highway, Chang’an University, Xi’an 710064, China;2. Tianjin Key Laboratory of Port and Ocean Engineering, Tianjin University, Tianjin 300072, China;3. Hebei Provincial Communications Planning and Design Institute, Shijiazhuang 050011, China;4. Key Laboratory of Cenozoic Geology and Environment, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China;1. College of Harbor, Coastal and Offshore Engineering, Hohai University, Nanjing, China;2. College of Civil Engineering , Tongji University, Shanghai, China;1. Department of Civil Construction and Transport, Universidade do Estado do Rio de Janeiro, rua São Francisco Xavier, 524, 5005-A, Rio de Janeiro, RJ CEP 20550-900, Brazil;2. Department of Civil Engineering, COPPE, Universidade Federal do Rio de Janeiro, P.O. Box 68506, Rio de Janeiro, RJ CEP 21941-972, Brazil
Abstract:The basic nature and properties of a class of geometric forms known as fractals are presented. An X-ray scattering technique for measuring the dimension of a fractal surface is described. The technique is used to demonstrate that the surface of hydrated cement paste is fractal in character, and has a large fractal dimension. This latter fact indicates that the surface of cement paste is extremely irregular. Further, the degree of irregularity is found to depend somewhat on the water: cement ratio. The fractal character of the surface of paste provides a logical explanation for the different surface areas detected by different vapors in a sorption experiment.
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