FRACTAL

作品数:974被引量:1491H指数:15
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相关领域:理学更多>>
相关作者:李后强赵华明谢和平盛京邢修三更多>>
相关机构:中国科学院北京理工大学四川大学武汉大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>
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  • 期刊=Applied Mathematics and Mechanics(English Edition)x
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Random heterogeneous microstructure construction of composites via fractal geometry
《Applied Mathematics and Mechanics(English Edition)》2019年第10期1413-1428,共16页Siwen WANG Zhansheng GUO 
Project supported by the National Natural Science Foundation of China(Nos.11972218 and11472165)
The microstructures of a composite determine its macroscopic properties. In this study, microstructures with particles of arbitrary shapes and sizes are constructed by using several developed fractal geometry algorith...
关键词:MICROSTRUCTURE FRACTAL geometry algorithm ARBITRARY shape and size ar-bitrary QUADRILATERAL ARBITRARY HEXAHEDRON 
Abstraction and operator characterization of fractal ladder viscoelastic hyper-cell for ligaments and tendons被引量:2
《Applied Mathematics and Mechanics(English Edition)》2019年第10期1429-1448,共20页Jianqiao GUO Yajun YIN Gexue REN 
Project supported by the National Natural Science Foundation of China(No.11672150);the Beijing Nova Program Interdisciplinary Cooperation Project(No.xxjc201705);the Capital Clinical Special Promotion Project(No.Z161100000516233);the Key Issue of the 12th Five-Year Plan of People’s Liberation Army of China(No.BKJ13J004)
This study investigates the viscoelastic behavior of soft bio-fibres in association with their fractal structures. A spring-dashpot fractal network with the self-similar topology, named the -type fractal ladder hyper-...
关键词:LIGAMENT and TENDON (LT) FRACTAL LADDER topology operator method stress relaxation 
Multiple-cell elements and regular multifractals
《Applied Mathematics and Mechanics(English Edition)》2010年第1期55-65,共11页殷雅俊 李颖 杨帆 范钦珊 
supported by the National Natural Science Foundation of China (No. 10872114);the Natural Science Foundation of Jiangsu Province (No. BK2008370)
Based on fractal super fibers and binary fractal fibers, the following objectives are approached in this paper: First, the concept of multiple-cell elements is induced and abstracted. Second, through multiple-cell el...
关键词:binary fractal fibers binary cell elements regular binary fractals multiplecell elements regular multifractals 
1/3 PURE SUB-HARMONIC SOLUTION AND FRACTAL CHARACTERISTIC OF TRANSIENT PROCESS FOR DUFFING'S EQUATION
《Applied Mathematics and Mechanics(English Edition)》2006年第9期1171-1176,共6页徐玉秀 胡海岩 闻邦椿 
Project supported by the National Natural Science Foundation of China (No.50275024)
The 1/3 sub-harmonic solution for the Duffing's with damping equation was investigated by using the methods of harmonic balance and numerical integration. The assumed solution is introduced, and the domain of sub-har...
关键词:Duffing's equation SUB-HARMONIC transient process fractal characteristic sensitive dimension 
THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA
《Applied Mathematics and Mechanics(English Edition)》2002年第8期875-880,共6页SONG Fu-quan(宋付权) LIU Ci-qun(刘慈群) 
The steady oil production and pressure distribution formulae of vertically fractured well for power-law non-Newtonian fluid were derived on the basis of the elliptic flow model in fractal reservoirs. The corresponding...
关键词:fractal media vertically fractured well transient flow power-law fluid 
ON THE CONTINUITY AND DIFFERENTIABILITY OF AKIND OF FRACTAL INTERPOLATION FUNCTION
《Applied Mathematics and Mechanics(English Edition)》2002年第4期471-478,共8页李红达 叶正麟 高行山 
theNationalNaturalScienceFoundationofChina ( 1 0 0 71 0 60 )
The sufficient conditions of Holder continuity of two kinds of fractal interpolation functions defined by IFS (Iterated Function System) were obtained. The sufficient and necessary condition for its differentiability ...
关键词:FRACTAL interpolation function Holder continuity DIFFERENTIABILITY 
THE FLOW PROBLEM OF FLUIDS FLOW IN A FRACTAL RESERVOIR WITH DOUBLE POROSITY
《Applied Mathematics and Mechanics(English Edition)》2001年第10期1118-1126,共9页TONG Deng-ke(同登科) Zhang Hong-qing(张鸿庆) 
教育部优秀青年教师资助计划
The effective radius of oil well is introduced in the inner boundary in the problem of fluids flow through fractal reservoir with double porosity, and thus a new model is established. Taking the wellbore storage and s...
关键词:FRACTAL double porous media SEEPAGE well test analysis 
AFFINE TRANSFORMATION IN RANDOM ITERATED FUNCTION SYSTEMS
《Applied Mathematics and Mechanics(English Edition)》2001年第7期820-826,共7页XIONG Yong(熊勇) SHI Ding-hua(史定华) 
Random iterated function systems (IFSs) is discussed, which is one of the methods for fractal drawing. A certain figure can be reconstructed by a random IFS. One approach is presented to determine a new random IFS, th...
关键词:FRACTAL random iterated function system affine transformation 
ANOMALOUS DIFFUSION IN FRACTAL POROUS MEDIUM
《Applied Mathematics and Mechanics(English Edition)》2000年第10期1145-1152,共8页王子亭 
theNaturalScienceFoundationofPetroleumUniversity
Fractal media has many characteristics different from those of homogeneous media, it has a correlated self-similar structure. The particle diffusion in pore fractal is different from Fick' s diffusion, and its mean-sq...
关键词:FRACTAL anomalous diffusion porous media 
GENERALIZED FLOW ANALYSIS OF NON-NEWTONIAN VISCO-ELASTICFLUID FLOW THROUGH FRACTAL RESERVOIR
《Applied Mathematics and Mechanics(English Edition)》1999年第12期1367-1376,共10页同登科 陈钦雷 
In this paper, fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non_Newtonian visco_elastic fluid flow in fractal reservoirs. A method to scale the fract...
关键词:visco_elastic fluid FRACTAL integral transform well test analysis 
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