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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    

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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    

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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    

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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    

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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    

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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    

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Anisotropy of multi-layered structure with sliding and bonded interlayer conditions

Lingyun YOU, Kezhen YAN, Jianhong MAN, Nengyuan LIU

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 3,   Pages 632-645 doi: 10.1007/s11709-020-0617-4

Abstract: A better understanding of the mechanical behavior of the multi-layered structure under external loadingobjective of this study are to propose and develop an analytical solution for the mechanical behaviors of multi-layeredinterlayer conditions on the multi-layered structure.Then the global matrix technique is applied to achieve the analytical solution of multi-layered structurestructure.

Keywords： multi-layered structure     Hankel transformation     anisotropic     transversely isotropic     interlayer condition    

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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    

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Uncertain and multi-objective programming models for crop planting structure optimization

Mo LI,Ping GUO,Liudong ZHANG,Chenglong ZHANG

Frontiers of Agricultural Science and Engineering 2016, Volume 3, Issue 1,   Pages 34-45 doi: 10.15302/J-FASE-2016084

Abstract: Crop planting structure optimization is a significant way to increase agricultural economic benefitswhich consider uncertainty and multi-objectives elements.and multi-objective.In addition, a multi-objective fractional programming model for crop structure optimization was alsocrop planting structure optimization systems.

Keywords： crop planting structure     optimization model     uncertainty     multi-objective    

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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    

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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    

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Finite element model updating of a large structure using multi-setup stochastic subspace identification

Reza KHADEMI-ZAHEDI, Pouyan ALIMOURI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 4,   Pages 965-980 doi: 10.1007/s11709-019-0530-x

Abstract: bees optimization algorithm are utilized to update the finite element model of a solar power plant structureuncertain parameters including geometry, material properties and boundary conditions of the aforementioned structureThe natural frequencies of the solar power plant structure are estimated by multi-setup stochastic subspaceThe proposed algorithm is efficiently implemented on the solar power plant structure located in Shahid

Keywords： operational modal analysis     solar power plant structure     multi-setup stochastic subspace     bees optimization    

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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    

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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    

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Deep convolutional neural network for multi-level non-invasive tunnel lining assessment

Frontiers of Structural and Civil Engineering 2022, Volume 16, Issue 2,   Pages 214-223 doi: 10.1007/s11709-021-0800-2

Abstract: The paper proposes a multi-level strategy, designed and implemented on the basis of periodic structural

Keywords： concrete structure     GPR     damage classification     convolutional neural network     transfer learning    

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Title Author Date Type Operation

Hierarchical fractal structure of perfect single-layer graphene

T. Zhang, K. Ding

Journal Article

PD pattern recognition based on multi-fractal dimension in GIS

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

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

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

Journal Article

Anisotropy of multi-layered structure with sliding and bonded interlayer conditions

Lingyun YOU, Kezhen YAN, Jianhong MAN, Nengyuan LIU

Journal Article

Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled

Journal Article

Uncertain and multi-objective programming models for crop planting structure optimization

Mo LI,Ping GUO,Liudong ZHANG,Chenglong ZHANG

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

Finite element model updating of a large structure using multi-setup stochastic subspace identification

Reza KHADEMI-ZAHEDI, Pouyan ALIMOURI

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 neural network for multi-level non-invasive tunnel lining assessment

Journal Article