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International Journal of Solids and Structures, ISSN 0020-7683, 05/2015, Volume 59, pp. 121 - 131
[Display omitted] •A new computational method of surface discretisation and analysis is shown and validated.•Contact mechanics of fractal surfaces were studied... 
Fractal | Micro-mechanics | Contact compliance | Interface | WEIERSTRASS PROFILE | SELF-AFFINE SURFACES | FRICTION COEFFICIENT | DEPENDENCE | MECHANICS | ELASTIC CONTACT | MODELS | RANDOMLY ROUGH SURFACES | ASPERITY CONTACT | DIMENSION | PERFECTLY PLASTIC CONTACT | Splines | Fractal analysis | Evolution | Fractals | Mathematical models | Stiffness | Tribology | Contact
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2015, Volume 92, Issue 3, p. 032405
Using spheropolygon-based simulations and contact slope analysis, we investigate the effects of surface topography and atomic scale friction on the... 
CONTACT AREA | ATOMIC-FORCE-MICROSCOPE | WEIERSTRASS PROFILE | MECHANICS | DIMENSION | PHYSICS, FLUIDS & PLASMAS | SCALE FRICTION | NANOSCALE | PHYSICS, MATHEMATICAL | DEFORMATION | NANOTRIBOLOGY | ROUGH SURFACES
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2017, Volume 469, pp. 563 - 571
As a tool for studying complex shapes and structures in nature, fractal theory plays a critical role in revealing the organizational structure of the complex... 
Fractal surface modeling | Autocorrelation analysis | The midpoint displacement method | The Weierstrass–Mandelbrot method | PROFILES | PHYSICS, MULTIDISCIPLINARY | COMPLEXITY | TIME-SERIES | The Weierstrass-Mandelbrot method | MODEL | SEA | SURFACES | GEOMETRY
Journal Article
Wuli Xuebao/Acta Physica Sinica, ISSN 1000-3290, 04/2016, Volume 65, Issue 7
The synthetic aperture radar imaging of fractal rough surface is studied. The natural surface can be very accurately described in terms of fractal geometry.... 
Kirchhoff | Synthetic aperture radar image | Weierstrass-Mandelbrot function | Fractal rough surface | PHYSICS, MULTIDISCIPLINARY | fractal rough surface | synthetic aperture radar image | ELECTROMAGNETIC SCATTERING | MODEL | SIMULATION | SCENE
Journal Article
Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University, ISSN 0253-987X, 11/2017, Volume 51, Issue 11, pp. 97 - 136
Journal Article
Industrial Lubrication and Tribology, ISSN 0036-8792, 03/2018, Volume 70, Issue 2, pp. 290 - 300
Journal Article
Wear, ISSN 0043-1648, 02/2010, Volume 268, Issue 3-4, pp. 431 - 442
The present study examines sphere- and cylinder-based fractal bodies in contact with a smooth and rigid flat surface. The generalized Weierstrass–Mandelbrot... 
Fractal theory | Weierstrass–Mandelbrot function | Microcontact model | Contact mechanics | Weierstrass-Mandelbrot function | MATERIALS SCIENCE, MULTIDISCIPLINARY | ENGINEERING, MECHANICAL | ROUGH SURFACES | Mechanical engineering | Analysis
Journal Article
Fractals, ISSN 0218-348X, 06/2015, Volume 23, Issue 2, pp. 1550016 - 1-1550016-10
The three-point sinuosity (TPS) method is proposed to calculate the fractal dimension of surface profile accurately. In this method, a new measure, TPS is... 
Fractal Dimension | Three-point Sinuosity | Machined Surface Profile | Weierstrass-Mandelbrot Curve | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | SIMULATION | Slopes | Errors | Sand blasting | Mathematical analysis | Fractal analysis | Fractals | Power law | Complexity
Journal Article
Journal of Computing and Information Science in Engineering, ISSN 1530-9827, 2013, Volume 13, Issue 1, pp. 011001 - 1-011001-9
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2015, Volume 367, Issue 6, pp. 4157 - 4182
are not the usual dyadic meshes but random Voronoi tessellations generated by Poisson point processes. This approach leads us to a continuous function whose... 
Hausdorff dimension | Fractal dimension | Poisson point process | Poisson-Voronoi tessellation | Random functions | Takagi series | MATHEMATICS | CELLS | WEIERSTRASS FUNCTIONS | fractal dimension | random functions | SUM | GRAPHS | SURFACES | Probability | Mathematics
Journal Article
Fluid Dynamics Research, ISSN 0169-5983, 06/2018, Volume 50, Issue 4, p. 45506
A coupled lattice Boltzmann and fractal geometry method is introduced to simulate laminar channel flow. The coupled method is divided into two cases. If the... 
rough surface | fractal geometry | lattice Boltzmann method | Weierstrass-Mandelbrot function | boundary slip | HEAT-TRANSFER | FLUID-FLOW | BOUNDARY-CONDITIONS | PHYSICS, FLUIDS & PLASMAS | SIMULATION | NORMAL CONTACT STIFFNESS | MICROCHANNELS | PRESSURE-DROP | MECHANICS | POROUS-MEDIA | ROUGH WALL | DIFFUSION
Journal Article
Chinese Physics B, ISSN 1674-1056, 08/2008, Volume 17, Issue 8, pp. 2956 - 2962
A normalized two-dimensional band-limited Weierstrass fractal function is used for modelling the dielectric rough surface. An analytic solution of the... 
2-D band-limited Weierstrass fractal function | Fractal characteristics | Dielectric rough surface | Kirchhoff approximation | dielectric rough surface | PHYSICS, MULTIDISCIPLINARY | fractal characteristics
Journal Article
Fractals, ISSN 0218-348X, 12/2017, Volume 25, Issue 6, p. 1750065
Journal Article
Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, ISSN 1001-506X, 09/2012, Volume 34, Issue 9, pp. 1775 - 1780
The 1D band-limited Weierstrass fractal rough surface is proposed for describing the natural rough sea surface. The composite electromagnetic scattering... 
Method of moment (MOM) | Hybrid method | Composite electromagnetic scattering | 1D band-limited Weierstrass fractal sea surface | Approximation | Electromagnetic scattering | Mathematical analysis | Fractal analysis | Incident waves | Fractals | Computational efficiency | Cross sections
Journal Article
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