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SELF-AFFINE: 作品数：23被引量：15H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关机构：北京航空航天大学更多>>; 相关期刊：《Earthquake Science》《Science China Mathematics》《Tsinghua Science and Technology》《Journal of Rock Mechanics and Geotechnical Engineering》更多>>; 相关基金：国家自然科学基金中国博士后科学基金更多>>

On self-affine tiles that are homeomorphic to a ball: 《Science China Mathematics》2024年第1期45-76,共32页Jorg M.Thuswaldner Shu-Qin Zhang; supported by a grant funded by the Austrian Science Fund and the Russian Science Foundation(Grant No.I 5554);supported by National Natural Science Foundation of China(Grant No.12101566)。; Let M be a 3×3 integer matrix which is expanding in the sense that each of its eigenvalues is greater than 1 in modulus and let D?Z^(3)be a digit set containing|det M|elements.Then the unique nonempty compact set T=T...; 关键词：self-afine sets tiles and tilings low-dimensional topology truncated octahedron

Asperity-based modification on theory of contact mechanics and rubber friction for self-affine fractal surfaces被引量：3: 《Friction》2021年第6期1707-1725,共19页Anahita EMAMI Seyedmeysam KHALEGHIAN Saied TAHERI; Modeling the real contact area plays a key role in every tribological process,such as friction,adhesion,and wear.Contact between two solids does not necessarily occur everywhere within the apparent contact area.Consid...; 关键词：contact area rubber friction self-affine fractals TRIBOLOGY surface roughness

Electroadhesion between a flat touchscreen and the human finger with randomly self-affine fractal surface被引量：1: 《Friction》2021年第1期132-142,共11页M.FESHANJERDI; In this study, the effects of finger roughness on the electrostatic potential, electrostatic field, and average effective squeezing pressure between a human finger and a touchscreen are calculated by the perturbation ...; 关键词：FRICTION touchscreen perturbation method

Three-dimensional double-rough-walled modeling of fluid flow through self-affine shear fractures被引量：4: 《Journal of Rock Mechanics and Geotechnical Engineering》2020年第1期41-49,共9页Richeng Liu Ming He Na Huang Yujing Jiang Liyuan Yu; partially funded by National Natural Science Foundation of China(Grant Nos.51979272 and 51709260);the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20170276).; This study proposes a double-rough-walled fracture model to represent the natural geometries of rough fractures.The rough surface is generated using a modified successive random additions(SRA)algorithm and the apertur...; 关键词：Double-rough-walled fracture Navier-Stokes(NS)equations Anisotropy FRACTAL dimension

Boundary parametrization of planar self-affine tiles with collinear digit set被引量：1: 《Science China Mathematics》2010年第9期2173-2194,共22页AKIYAMA Shigeki LORIDANT Benoit; supported by Japanese Ministry of Education,Culture,Sports,Science and Technology,Grantin Aid for Fundamental Research (Grant No.21540010);the Japanese Society for the Promotion of Science (Grant No.08F08714); We consider a class of planar self-affine tiles T = M-1 a∈D(T + a) generated by an expanding integral matrix M and a collinear digit set D as follows:M =(0-B 1-A),D = {(00),...,(|B|0-1)}.We give a parametrization S1 ...; 关键词：SELF-SIMILAR tile BOUNDARY disk-likeness fractal PARAMETRIZATION

THE UPPER BOUND OF BOX DIMENSION OF THE WEYL-MARCHAUD DERIVATIVE OF SELF-AFFINE CURVES被引量：1: 《Analysis in Theory and Applications》2010年第3期222-227,共6页Kui Yao Weiyi Su Yongshun Liang; Supported by 2009QX06 TPLAUST;NSFC (10571084);Math model Foundation of CZU2008; A certain type of self-affine curves can be transferred into fractal functions. The upper bound of fractal dimensions of the Weyl-Marchaud derivative of these functions has been investigated, and further questions hav...; 关键词：self-affine curve Weyl-Mdrchaud derivative fractal dimension

Integral Self-affine Tiles of Bandt's Model: 《Acta Mathematicae Applicatae Sinica》2010年第1期169-176,共8页Hui Rao Li-jun Zhang; Supported by the National Natural Science Foundation of China(No.10631040); Integral self-affine tiling of Bandt＇s model is a generalization of the integral self-affine tiling. Using ergodic theory, we show that the Lebesgue measure of the tile is a rational number where the denominator equa...; 关键词：IFS self-affine tiling invariant measure _

Evidence of self-affine multiplicity fluctuation of target residues in ^(84)Kr-AgBr interactions at 1.7 AGeV: 《Chinese Physics C》2009年第6期407-410,共4页张东海李惠玲; Supported by National Natural Science Foundation of China (10475054,10675077);Major Science and Technology Foundation of Ministry of Education of China (205026);Natural Foundation of Shanxi Province,China (2008011005);Shanxi Provincial Foundation for Returned Scholars of China (20031046); Self-affine multiplicity scaling is investigated in the framework of a two-dimensional factorial moment methodology using the concept of the Hurst exponent （H）. Analyzing the experimental data of target evaporated f...; 关键词：relativistic heavy-ion collisions target evaporated fragments nuclear emulsion

Investigation of self-affine multiplicity fluctuations of proton emission in ^(84)Kr-AgBr interactions at 1.7 AGeV: 《Chinese Physics C》2009年第5期345-349,共5页张东海李惠玲; National Natural Science Foundation of China (10475054, 10675077);Major Science and Technology Foundation of Ministry of Education of China (205026);Natural Foundation of Shanxi Province, China (2008011005);Shanxi Provincial Foundation for Returned Scholars of China (20031046); Self-affine multiplicity scaling is investigated in the framework of a two-dimensional factorial moment methodology using the concept of the Hurst exponent （H）. Investigation of the experimental data of medium-energ...; 关键词：relativistic heavy-ion collision knocked-out target protons nuclear emulsion

Extraction of Parameters of Random Self-Affine Fractal Surfaces from Light Scattered Intensity by Levenberg-Marquardt Algorithm: 《Chinese Physics Letters》2009年第3期122-125,共4页张宁玉腾树云宋洪胜刘桂媛程传福; Supported by the National Natural Science Foundation of China under Grant No 10674085, the Natural Science Foundation of Shandong Province under Grant No Y2006A18, and Shandong Distinguished Middle-Aged and Young Scientist Encourage and Reward Foundation under Grant No 2007BS04031.; A method for simultaneously extracting the parameters of self-affine fractal surfaces from a single experimental profile of scattered intensity data is proposed. The Levenberg-Marquardt algorithm is introduced to fit ...

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