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Hierarchical fractal structure of perfect single-layer graphene
T. Zhang, K. Ding
《机械工程前沿(英文)》 2013年 第8卷 第4期 页码 371-382 doi: 10.1007/s11465-013-0279-1
The atomic lattice structure of perfect single-layer graphene that can actually be regarded as a kind of hierarchical fractal structure from the perspective of fractal geometry was studied for the first time. Three novel and special discoveries on hierarchical fractal structure and sets were unveiled upon examination of the regular crystal lattices of the single-layer graphene. The interior fractal-type structure was discovered to be the fifth space-filling curve from physical realm. Two efficient methods for calculating the fractal dimension of this fresh member was also provided. The outer boundary curve had a fractal dimension equal to one, and a multi-fractal structure from a naturally existing material was found for the first time. A series of strict self-similar hexagons comprised a rotating fractal set. These hexagons slewed at a constant counterclockwise angle of 19.1° when observed from one level to the next higher level. From the perspective of fractal geometry, these pioneering discoveries added three new members to the existing regular fractal structures and sets. A fundamental example of a multi-fractal structure was also presented.
关键词: hierarchical fractal structure fractal dimension the fifth space-filling curve multi-fractal structure
A new proof of Honeycomb Conjecture by fractal geometry methods
Tong ZHANG, Kai DING
《机械工程前沿(英文)》 2013年 第8卷 第4期 页码 367-370 doi: 10.1007/s11465-013-0273-7
Based on fractal geometry, we put forward a concise and straightforward method to prove Honeycomb Conjecture—a classical mathematic problem. Hexagon wins the most efficient covering unit in the two- dimensional space, compared with the other two covering units—triangle and square. From this point of view, honeycomb is treated as a hierarchical fractal structure that fully fills the plane. Therefore, the total side length and area are easily calculated and from the results, the covering efficiency of each possible unit is provided quantitatively.
关键词: Honeycomb Conjecture fractal geometry hierarchical fractal structure
Aggregating structure in coal water slurry studied by eDLVO theory and fractal dimension
Qiang LI, Qian WANG, Jian HOU, Jiansheng ZHANG, Yang ZHANG
《能源前沿(英文)》 2023年 第17卷 第2期 页码 306-316 doi: 10.1007/s11708-021-0736-1
关键词: coal water slurry extended DLVO (eDLVO) fractal dimension stability
《结构与土木工程前沿(英文)》 2021年 第15卷 第6期 页码 1317-1336 doi: 10.1007/s11709-021-0763-3
关键词: square concrete filled tubes confine-stiffening confine-strengthening fractal cracking fracture
Yuexin Hou, Xiaoyun Li, Minghui Sun, Chaofan Li, Syed ul Hasnain Bakhtiar, Kunhao Lei, Shen Yu, Zhao Wang, Zhiyi Hu, Lihua Chen, Bao-Lian Su
《化学科学与工程前沿(英文)》 2021年 第15卷 第2期 页码 269-278 doi: 10.1007/s11705-020-1948-3
关键词: hierarchical zeolites single crystalline interconnected pores improved diffusion performance benzyl alcohol self-etherification reaction
Copper fractal growth during recycling from waste printed circuit boards by slurry electrolysis
《环境科学与工程前沿(英文)》 2021年 第15卷 第6期 doi: 10.1007/s11783-021-1405-7
• Copper fractal growth was observed during WPCBs recycling by slurry electrolysis.
关键词: Dendritic copper Fractal growth WPCBs Slurry electrolysis
Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled
《机械工程前沿(英文)》 2021年 第16卷 第4期 页码 840-854 doi: 10.1007/s11465-021-0643-5
关键词: surface topography fractal evaluation fractal interpolation reconstruction composite
用于高风险环境安全监测和可调热管理的具有分层核壳结构的耐化学品纱线 Article
Duo Xu, Yingcun Liu, Can Ge, Chong Gao, Ze Chen, Ziyi Su, Haoran Gong, Weilin Xu, Jian Fang
《工程(英文)》 2024年 第32卷 第1期 页码 221-229 doi: 10.1016/j.eng.2023.06.018
Chemical resistant textiles are vital for safeguarding humans against chemical hazards in various settings, such as industrial production, chemical accidents, laboratory activities, and road transportation. However, the ideal integration of chemical resistance, thermal and moisture management, and wearer condition monitoring in conventional chemically protective textiles remains challenging. Herein, the design, manufacturing, and use of stretchable hierarchical core–shell yarns (HCSYs) for integrated chemical resistance, moisture regulation, and smart sensing textiles are demonstrated. These yarns contain helically elastic spandex, wrapped silver-plated nylon, and surface-structured polytetrafluoroethylene (PTFE) yarns and are designed and manufactured based on a scalable fabrication process. In addition to their ideal chemical resistance performance, HCSYs can function as multifunctional stretchable electronics for real-time human motion monitoring and as the basic element of intelligent textiles. Furthermore, a desirable dynamic thermoregulation function is achieved by exploiting the fabric structure with stretching modulation. Our HCSYs may provide prospective opportunities for the future development of smart protective textiles with high durability, flexibility, and scalability.
关键词: Hierarchical core–shell structure Chemical resistant yarn Wearable strain sensor Thermoregulation
Xiaobin JIANG, Baohong HOU, Yongli WANG, Jingkang WANG
《化学科学与工程前沿(英文)》 2011年 第5卷 第4期 页码 435-441 doi: 10.1007/s11705-011-1139-3
关键词: melt crystallization porous media fractal permeability hyperpure material simulation
Application of fractal theory to unsaturated soil mechanics
XU Yongfu, TONG Lixin
《结构与土木工程前沿(英文)》 2007年 第1卷 第4期 页码 411-421 doi: 10.1007/s11709-007-0056-5
关键词: selection soil-water independent physical unsaturated strength
Xu-guang ZUO, Lu YU
《信息与电子工程前沿(英文)》 2018年 第19卷 第3期 页码 459-470 doi: 10.1631/FITEE.1601552
潘玉良,吴立群,张云电
《中国工程科学》 2004年 第6卷 第5期 页码 49-51
介绍了W-M分形模型参数(D,G,γ)的物理含义,研究了分形参数(D,G,γ)与粗糙度参数Ra之间的联系,导出了分形参数(D,G,γ)与粗糙度参数Ra关系式,用数值分析拟合方法验证了关系式的正确性。
王秀妮,姜威,王利村
《中国工程科学》 2006年 第8卷 第1期 页码 54-57
由于分形图像编码过程非常费时,因此在前人的基础上,通过分析影响分形图像编码速度的相关因素,提出了使用图像块的改进方差来提高分形压缩性能的思想。在证明迭代函数系统不会改变图像块的改进方差的基础上,给出了基于改进方差的分形图像压缩方法。实验结果说明该方法在保证快速性的同时,重建图像的质量又得到了进一步的提高。
Deep convolutional tree-inspired network: a decision-tree-structured neural network for hierarchical
《机械工程前沿(英文)》 2021年 第16卷 第4期 页码 814-828 doi: 10.1007/s11465-021-0650-6
关键词: bearing cross-severity fault diagnosis hierarchical fault diagnosis convolutional neural network decision tree
PD pattern recognition based on multi-fractal dimension in GIS
ZHANG Xiaoxing, YAO Yao, TANG Ju, ZHOU Qian, XU Zhongrong
《机械工程前沿(英文)》 2008年 第3卷 第3期 页码 270-275 doi: 10.1007/s11465-008-0042-1
关键词: substation high-speed discharge centrobaric network ultra-high frequency
标题 作者 时间 类型 操作
Aggregating structure in coal water slurry studied by eDLVO theory and fractal dimension
Qiang LI, Qian WANG, Jian HOU, Jiansheng ZHANG, Yang ZHANG
期刊论文
Theoretical study on the confine-stiffening effect and fractal cracking of square concrete filled steel
期刊论文
The effect of hierarchical single-crystal ZSM-5 zeolites with different Si/Al ratios on its pore structure
Yuexin Hou, Xiaoyun Li, Minghui Sun, Chaofan Li, Syed ul Hasnain Bakhtiar, Kunhao Lei, Shen Yu, Zhao Wang, Zhiyi Hu, Lihua Chen, Bao-Lian Su
期刊论文
Copper fractal growth during recycling from waste printed circuit boards by slurry electrolysis
期刊论文
Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled
期刊论文
用于高风险环境安全监测和可调热管理的具有分层核壳结构的耐化学品纱线
Duo Xu, Yingcun Liu, Can Ge, Chong Gao, Ze Chen, Ziyi Su, Haoran Gong, Weilin Xu, Jian Fang
期刊论文
Permeability analysis and seepage process study on crystal layer in melt crystallization with fractal
Xiaobin JIANG, Baohong HOU, Yongli WANG, Jingkang WANG
期刊论文
Deep convolutional tree-inspired network: a decision-tree-structured neural network for hierarchical
期刊论文