Materials Reports  2021, Vol. 35 Issue (z2): 254-258 |
| INORGANIC MATERIALS AND CERAMIC MATRIX COMPOSITES |
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| Error Analysis and Solution Example of Fractal Theory of Continuous Grading Aggregate |
| WANG Huangqi1,2, BO Ai1, WANG Dongmin1, ZHANG Shuangcheng2, LYU Nan2
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1 School of Chemical and Environmental Engineering, China University of Mining and Technology-Beijing, Beijing, 100083, China
2 Liaoning Yilifang Shaye, Co., Ltd., Benxi, 117000, China |
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Abstract Fractal theory is currently a new and active theory. The related derivation of using fractal theory to describe continuous graded aggregates has long been realized, but in the process of actually solving fractal dimensions, its approximate equations are often used to calculate, but its practicality is not carried out. It is necessary to analyze the error may lead to the distortion of the description of the aggregate. This article obtains the relative absolute error and relative error through mathematical derivation, and analyzes the system factors and main experimental factors that produce the error. Then, using the properties of fractal theory, an iterative solution method of fractal dimension based on dichotomy is given. Theoretical derivation and mathematical experiment results show that the size of the error produced by the commonly used approximation method is related to the range of the gradation aggregate particle size. The smaller the minimum particle size, the greater the error, and significant errors will occur within the range of the sand. Using the regression method described in this article to fit the continuous graded aggregate with fractal characteristics, a better fitting result can be obtained.
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Published: 09 December 2021
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| Fund:This work was financially supported by the National Key Research and Development Program of China (2019YFC1907201). |
About author:: Huangqi Wang received his B.S. degrees in June 2018 from China University of Mining and Technology-Beijing. From Sept. 2018, he studied for Ph.D. degree at China University of Mining and Technology-Beijing on the research of concrete admixtures and resource utilization of solid waste.
Dongmin Wang received his Ph.D. degree in materials from China Academy of Building Materials Science in 2002. He is currently a professor and doctoral supervisor in Institute of Concrete and Environmental Materials, School of Chemical and Environmental Engineering, China University of Mining and Technology-Beijing. He has been committed to the research of fine chemical synthesis and application of modern high-performance cement concrete materials and chemical admixtures, as well as industrial/mining solid waste treatment and ecological environment building materials preparation and application. More than 200 scientific papers have been published, and 6 academic monographs have been published. |
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1 王立久, 刘慧. 公路, 2008, 1(1), 170.
2 李国强, 邓学钧. 重庆交通学院学报, 1995, 14(2), 38.
3 蒋双全, 张争奇, 杨博. 公路, 2009, 10(10), 198.
4 吴诗尧, 秦伟, 乌兰格日勒. 山西建筑, 2014, 40(1), 168.
5 Ebrahim O. European Journal of Soil Science, 2020, 71(5), 1.
6 Bai Y X, Zhou Y C, He H Z. Geoderma, 2020, 376, 15.
7 Xu Y, Shuo M, Dai H Z. Construction and Building Materials, 2020, 255, 20.
8 Ai X Y, Sheng M H,Su X Q, et al. Land Degradation & Development, DOI:org/10.1002/ldr.3719.
9 Pink D A, Moorthy A S,Peyronel F, et al. Journal of the American Oil Chemists Society, 2020, 97,43.
10 Tan B, Yang R H, Lai Y T, et al. Applied Mechanics and Materials, 2012, 204, 1923.
11 杨瑞华, 许志鸿, 张超, 等. 同济大学学报(自然科学版), 2008, 36(12), 1642.
12 彭勇, 孙立军, 王元清,等. 华中科技大学学报(自然科学版), 2007, 35(12), 80.
13 杨瑞华, 许志鸿. 土木工程学报, 2007, 40(3), 98.
14 薛文, 沈耀剑, 孙晨晨. 科技通报, 2017, 33(2), 192.
15 徐涛. 基于分形理论的逐级嵌挤级配分析研究. 硕士学位论文, 长沙理工大学, 2018.
16 Wang Q Z, Zhao Y F, Tseng M L, et al. Journal of Cleaner Production, 2020, 271, 122208.
17 Xu O M, Wang Z J, Wang R. Construction and Building Materials, 2017, 135, 632.
18 Liu H, Wang L J. Journal of Wuhan University of Technology-Materials Science Edtion, 2011, 26(3), 567.
19 傅沛兴. 建筑材料学报, 2007, 10(1), 1. |
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