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Hierarchical fractal structure of perfect single-layer graphene

T. Zhang, K. Ding

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 4,   Pages 371-382 doi: 10.1007/s11465-013-0279-1

Abstract: of hierarchical fractal structure from the perspective of fractal geometry was studied for the firstThree novel and special discoveries on hierarchical fractal structure and sets were unveiled upon examinationThe interior fractal-type structure was discovered to be the fifth space-filling curve from physicalThe outer boundary curve had a fractal dimension equal to one, and a multi-fractal structure from a naturallyA fundamental example of a multi-fractal structure was also presented.

Keywords: 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

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 4,   Pages 367-370 doi: 10.1007/s11465-013-0273-7

Abstract:

Based on fractal geometry, we put forward a concise and straightforward method to prove HoneycombFrom this point of view, honeycomb is treated as a hierarchical fractal structure that fully fills the

Keywords: 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

Frontiers in Energy 2023, Volume 17, Issue 2,   Pages 306-316 doi: 10.1007/s11708-021-0736-1

Abstract: application of coal water slurry and gasification process, it is necessary to understand the micro-structureIn this paper, the micro-structure in coal water slurry was studied by extended DLVO (eDLVO) theory andfractal dimension, which is used to explain the mechanism of stability in large particle suspensionand fractal dimension in coal water slurry.This aggregating structure can be described and characterized by fractal dimension.

Keywords: coal water slurry     extended DLVO (eDLVO)     fractal dimension     stability    

Theoretical study on the confine-stiffening effect and fractal cracking of square concrete filled steel

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 6,   Pages 1317-1336 doi: 10.1007/s11709-021-0763-3

Abstract: to accurately predict the tensile strength and stiffness enhancements and realistically simulate the fractal

Keywords: square concrete filled tubes     confine-stiffening     confine-strengthening     fractal cracking     fracture    

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

Frontiers of Chemical Science and Engineering 2021, Volume 15, Issue 2,   Pages 269-278 doi: 10.1007/s11705-020-1948-3

Abstract: Hierarchical single-crystal ZSM-5 zeolites with different Si/Al ratios (Hier-ZSM-5- , where = 50, 100Results show that a decrease in the Si/Al ratio in hierarchical single-crystal ZSM-5 zeolites leads toThis study can be extended to develop a series of hierarchical single-crystal zeolites with expected

Keywords: hierarchical zeolites     single crystalline     interconnected pores     improved diffusion performance     benzyl alcohol    

Copper fractal growth during recycling from waste printed circuit boards by slurry electrolysis

Frontiers of Environmental Science & Engineering 2021, Volume 15, Issue 6, doi: 10.1007/s11783-021-1405-7

Abstract:

• Copper fractal growth was observed during WPCBs recycling by slurry

Keywords: Dendritic copper     Fractal growth     WPCBs     Slurry electrolysis    

Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 4,   Pages 840-854 doi: 10.1007/s11465-021-0643-5

Abstract: In this paper, an improved fractal interpolation model is proposed to reconstruct the surface topographyFractal parameters are calculated to evaluate the measured surface profiles.The maximum and minimum fractal dimension of the hole wall are 1.36 and 1.07, whereas the maximum andminimum fractal roughness are 4.05 × 10 −5 and 4.36 × 10 −10 m, respectively.Fractal parameter D s and statistical parameters Sa, Sq, and Sz

Keywords: surface topography     fractal evaluation     fractal interpolation     reconstruction     composite    

Chemical Resistant Yarn with Hierarchical Core–Shell Structure for Safety Monitoring and Tunable Thermal Article

Duo Xu, Yingcun Liu, Can Ge, Chong Gao, Ze Chen, Ziyi Su, Haoran Gong, Weilin Xu, Jian Fang

Engineering 2024, Volume 32, Issue 1,   Pages 221-229 doi: 10.1016/j.eng.2023.06.018

Abstract: Herein, the design, manufacturing, and use of stretchable hierarchical core–shell yarns (HCSYs)Furthermore, a desirable dynamic thermoregulation function is achieved by exploiting the fabric structure

Keywords: Hierarchical core–shell structure     Chemical resistant yarn     Wearable strain sensor     Thermoregulation    

Permeability analysis and seepage process study on crystal layer in melt crystallization with fractal

Xiaobin JIANG, Baohong HOU, Yongli WANG, Jingkang WANG

Frontiers of Chemical Science and Engineering 2011, Volume 5, Issue 4,   Pages 435-441 doi: 10.1007/s11705-011-1139-3

Abstract: By inspecting the seeping process, the structure parameter of crystal pillar could be obtained.

Keywords: melt crystallization     porous media     fractal     permeability     hyperpure material     simulation    

Application of fractal theory to unsaturated soil mechanics

XU Yongfu, TONG Lixin

Frontiers of Structural and Civil Engineering 2007, Volume 1, Issue 4,   Pages 411-421 doi: 10.1007/s11709-007-0056-5

Abstract: The fractal approach seems to be a potentially useful tool to describe hierarchical systems and is suitableto model the structure and hydraulic properties of unsaturated soils.for the pore-size distribution, and were expressed by only two independent physical parameters, the fractalbetween the experimental results of unsaturated hydraulic conductivity and the predictions of the both fractaland the van Genuchten-Mualem model were also performed, and it was found that the predictions of the fractal

Keywords: selection     soil-water     independent physical     unsaturated     strength    

Long-term prediction for hierarchical-B-picture-based coding of video with repeated shots None

Xu-guang ZUO, Lu YU

Frontiers of Information Technology & Electronic Engineering 2018, Volume 19, Issue 3,   Pages 459-470 doi: 10.1631/FITEE.1601552

Abstract: Particularly, by exploiting the hierarchical B-picture prediction structure, temporal redundancy amongAccording to our observations, when these videos are encoded by HEVC with the hierarchical B-picturestructure, the temporal correlation in each shot is well exploited.video are chosen by clustering similar shots and extracting the representative frames, and a modified hierarchicalB-picture coding structure based on an LTR frame is introduced to support long-term temporal prediction

Keywords: High Efficiency Video Coding (HEVC)     Long-term temporal correlation     Long-term prediction     HierarchicalB-picture structure    

Study of the Relationship Between Fractal Model Parameters and Roughness Parameter Ra

Pan Yuliang,Wu Liqun,Zhang Yundian

Strategic Study of CAE 2004, Volume 6, Issue 5,   Pages 49-51

Abstract:

The W-M fractal model and the physical meaning of fractal parameters (D, G,y) are briefly introduced

Keywords: W-M fractal model     fractal parameters     roughness Ra    

A New Algorithm of Fractal Image Coding

Wang Xiuni,Jiang Wei,Wang Licun

Strategic Study of CAE 2006, Volume 8, Issue 1,   Pages 54-57

Abstract:

Because it takes too much of time in fractal image coding, the paper analyses the factors that affectthe speed of fractal image coding , and proposes a novel idea by using the reformed variance (tentatively) to improve image fractal compression performance .Moreover , it gives a novel fractal image compression method based on the reformed variance.

Keywords: fractal coding     image compression     variance    

Deep convolutional tree-inspired network: a decision-tree-structured neural network for hierarchical

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 4,   Pages 814-828 doi: 10.1007/s11465-021-0650-6

Abstract: decision-tree-structured neural network, that is, the deep convolutional tree-inspired network (DCTN), for the hierarchicalnetwork (CNN) and decision tree methods by rebuilding the output decision layer of CNN according to the hierarchicalThe proposed DCTN model has unique advantages in 1) the hierarchical structure that can support moreaccuracy and comprehensive fault diagnosis, 2) the better interpretability of the model output with hierarchical

Keywords: bearing     cross-severity fault diagnosis     hierarchical fault diagnosis     convolutional neural network    

PD pattern recognition based on multi-fractal dimension in GIS

ZHANG Xiaoxing, YAO Yao, TANG Ju, ZHOU Qian, XU Zhongrong

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 3,   Pages 270-275 doi: 10.1007/s11465-008-0042-1

Abstract: The multi-fractal dimension is founded on the box-counting dimension and multi-fractal theories.The GIS gray intensity images distillation methods, based on multi-fractal characteristics, is put forwardThe box-counting dimension, multi-fractal dimension, and discharge centrobaric characteristics of the

Keywords: substation     high-speed     discharge centrobaric     network     ultra-high frequency    

Title Author Date Type Operation

Hierarchical fractal structure of perfect single-layer graphene

T. Zhang, K. Ding

Journal Article

A new proof of Honeycomb Conjecture by fractal geometry methods

Tong ZHANG, Kai DING

Journal Article

Aggregating structure in coal water slurry studied by eDLVO theory and fractal dimension

Qiang LI, Qian WANG, Jian HOU, Jiansheng ZHANG, Yang ZHANG

Journal Article

Theoretical study on the confine-stiffening effect and fractal cracking of square concrete filled steel

Journal Article

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

Journal Article

Copper fractal growth during recycling from waste printed circuit boards by slurry electrolysis

Journal Article

Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled

Journal Article

Chemical Resistant Yarn with Hierarchical Core–Shell Structure for Safety Monitoring and Tunable Thermal

Duo Xu, Yingcun Liu, Can Ge, Chong Gao, Ze Chen, Ziyi Su, Haoran Gong, Weilin Xu, Jian Fang

Journal Article

Permeability analysis and seepage process study on crystal layer in melt crystallization with fractal

Xiaobin JIANG, Baohong HOU, Yongli WANG, Jingkang WANG

Journal Article

Application of fractal theory to unsaturated soil mechanics

XU Yongfu, TONG Lixin

Journal Article

Long-term prediction for hierarchical-B-picture-based coding of video with repeated shots

Xu-guang ZUO, Lu YU

Journal Article

Study of the Relationship Between Fractal Model Parameters and Roughness Parameter Ra

Pan Yuliang,Wu Liqun,Zhang Yundian

Journal Article

A New Algorithm of Fractal Image Coding

Wang Xiuni,Jiang Wei,Wang Licun

Journal Article

Deep convolutional tree-inspired network: a decision-tree-structured neural network for hierarchical

Journal Article

PD pattern recognition based on multi-fractal dimension in GIS

ZHANG Xiaoxing, YAO Yao, TANG Ju, ZHOU Qian, XU Zhongrong

Journal Article