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Architectural Model of a Dryland Gravel Braided River,based on 3D UAV Oblique Photogrammetric Data:A Case Study of West Dalongkou River in Eastern Xinjiang,China 被引量:1
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作者 YIN Senlin ZHU Baiyu +5 位作者 GUO Haiping XU Zhenhua LI Xiaoshan WU Xiaojun CHEN Yukun JIANG Zhibin 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2023年第1期269-285,共17页
Three-dimensional unmanned aerial vehicle(UAV)oblique photogrammetric data were used to infer mountainous gravel braided river lithofacies,lithofacies associations and architectural elements.Hierarchical architecture ... Three-dimensional unmanned aerial vehicle(UAV)oblique photogrammetric data were used to infer mountainous gravel braided river lithofacies,lithofacies associations and architectural elements.Hierarchical architecture and lithofacies associations with detailed lithofacies characterizations were comprehensively described to document the architectural model,architectural element scale and gravel particle scale.(1)Nine lithofacies(i.e.,Gmm,Gcm,Gcc,Gci,Gcl,Ss,Sm,Fsm and Fl)were identified and classified as gravel,sand and fine matrix deposits.These are typical depositional features of a mountainous dryland gravel-braided river.(2)Three architectural elements were identified,including channel(CH),gravel bar(GB)and overbank(OB).CH can be further divided into flow channel and abandoned channel,while GB consists of Central Gravel bar(CGB)and Margin Gravel bar(MGB).(3)The gravel bar is the key architectural element of the gravel braided river,with its geological attributes.The dimensions of GBs and their particles are various,but exhibit good relationships with each other.The grain size of GB decreases downstream,but the dimensions of GB do not.The bank erosion affects the GB dimensions,whereas channel incision and water flow velocity influence the grain size of GB.The conclusions can be applied to the dryland gravel braided river studies in tectonically active areas. 展开更多
关键词 three-dimensional UAV oblique photogrammetry gravel braided river architecture modern deposits West Dalongkou River
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关于Braided双代数的一些注记
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作者 王栓宏 王红军 《河南师范大学学报(自然科学版)》 CAS CSCD 1999年第1期4-7,共4页
本文首先讨论了余半单Hopf代数的Braided结构的有限性.其次,对于左H-模代数A,通过构造新的代数结构A#σH,推广了Doi.Y.在文献[2]中的部分结果.
关键词 HOPF代数 braided双代数 模代数 有限性
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Investigation on the Thermal Conductivity of 3-Dimensional and 4-Directional Braided Composites 被引量:23
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作者 Liu Zhenguo Zhang Haiguo Lu Zixing Li Diansen 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2007年第4期327-331,共5页
It is vital to choose a factual and reasonable micro-structural model of braided composites for improving the calculating precision of thermal property of 3-D braided composites by finite element method (FEM). On th... It is vital to choose a factual and reasonable micro-structural model of braided composites for improving the calculating precision of thermal property of 3-D braided composites by finite element method (FEM). On the basis of new microstructure model of braided composites proposed recently, the model of FEM calculation for thermal conductivity of 3-dimennsional and 4-directional braided composites is set up in this paper. The curves of coefficient of effective thermal conductivity versus fiber volume ratio and interior braiding angle are obtained. Furthermore, comparing the results of FEM with the available experimental data, the reasonability and veracity of calculation are confirmed at the same time. 展开更多
关键词 3-dimennsional and 4-directional braided composites thermal conductivity FEM
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Internal Strain Measurement in 3D Braided Composites Using Co-braided Optical Fiber Sensors 被引量:3
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作者 ShenfangYUAN RuiHUANG YunjiangRAO 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2004年第2期199-202,共4页
3D braided composite technology has stimulated a great deal of interest in the world at large. But due to the three-dimensional nature of these kinds of composites, coupled with the shortcomings of currently-adopted e... 3D braided composite technology has stimulated a great deal of interest in the world at large. But due to the three-dimensional nature of these kinds of composites, coupled with the shortcomings of currently-adopted experimental test methods, it is difficult to measure the internal parameters of this materials, hence causes it difficult to understand the material performance. A new method is introduced herein to measure the internal strain of braided composite materials using co-braided fiber optic sensors. Two kinds of fiber optic sensors are co-braided into 3D braided composites to measure internal strain. One of these is the Fabry-Parrot (F-P) fiber optic sensor; the other is the polarimetric fiber optic sensor. Experiments are conducted to measure internal strain under tension, bending and thermal environments in the 3D carbon fiber braided composite specimens, both locally and globally. Experimental results show that multiple fiber optic sensors can be braided into the 3D braided composites to measure the internal parameters, providing a more accurate measurement method and leading to a better understanding of these materials. 展开更多
关键词 Textile composites Mechanical properties Nondestructive testing braidING
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Relationship between energy dissipation rate and channel morphology in the development of the model braided channel 被引量:2
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作者 ZHANG Ou-yang, JIN De-sheng, CHEN Hao, GUO Qing-wu (Institute of Geographic Sciences and Natural Resources Research, CAS, Beijing 100101, China) 《Journal of Geographical Sciences》 SCIE CSCD 2001年第3期291-296,共6页
A certain pattern of channel is the product of its self-adjustment under given boundary, discharge and sediment conditions. Based upon the principle of process-response model, an experimental study with 18 runs is car... A certain pattern of channel is the product of its self-adjustment under given boundary, discharge and sediment conditions. Based upon the principle of process-response model, an experimental study with 18 runs is carried out in LESRC. This paper is focused on the variation of the energy dissipation versus the channel morphology during and after the bedmaking process of braided channel. The results show that there exists a good empirical relationship between the energy dissipation rate and channel morphology. According to this relationship and the theory of minimum rate of energy dissipation, the authors explain the metamorphosis of the model channel with the development of the braided river. 展开更多
关键词 energy dissipation rate channel morphology braided channel development experimental study
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Study on Braiding Parameters of a Biodegradable Nerve Regeneration Conduit with Regular Braided Structure 被引量:1
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作者 刘国华 张佩华 +2 位作者 王文祖 冯勋伟 刘洪凤 《Journal of Donghua University(English Edition)》 EI CAS 2004年第6期66-70,共5页
A biodegradable nerve regeneration conduit has been developed by the regular braided technique on a spindle-braiding machine. The geometry property indexes of braided nerve conduit consist of pitch, density, wall thic... A biodegradable nerve regeneration conduit has been developed by the regular braided technique on a spindle-braiding machine. The geometry property indexes of braided nerve conduit consist of pitch, density, wall thickness and porosity etc. In this article, the influences of the braiding parameters i.e. the linear density of yarn, gear ratio and spindle number of the braiding machine on these geometry property indexes of nerve conduit were discussed from which the optimal braiding parameters were obtained. 展开更多
关键词 REGULAR braided NERVE REGENERATION conduit BIODEGRADABLE
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Preparation and Characterization of Resistive Strain Sensor Based on Braided Skin-Core Rope 被引量:1
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作者 权颖楠 胡吉永 +1 位作者 杨旭东 卢赟 《Journal of Donghua University(English Edition)》 EI CAS 2019年第5期458-465,共8页
This study proposed a new yarn-like strain sensor on the basis of the braided skin-core rope,and investigated the effect of braiding structures on the sensing properties of sensors.The morphology and electromechanical... This study proposed a new yarn-like strain sensor on the basis of the braided skin-core rope,and investigated the effect of braiding structures on the sensing properties of sensors.The morphology and electromechanical properties of the strain sensor with different braiding structures were compared and evaluated.The results show that the sensing performance of the sensor from a braided skin-core rope depends on both the number of yarns in braiding and the metallized process of braided rope.Generally,the present stretchable skin-core rope-based sensor provides a basis for the formation of a highly sensitive sensing structure. 展开更多
关键词 resistance sensor skin-core ROPE braidING STRAIN GAUGE
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Tensile Properties of 3-Dimension-4-directional Braided C_f/Si C Composite based on Double-scale Model 被引量:1
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作者 牛序铭 SUN Zhigang +1 位作者 宋迎东 GAO Xiguang 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2017年第6期1271-1279,共9页
The longitude tensile properties of 3-Dimension-4-directional(3D-4d) braided C/Si C composites(CMCs) were investigated with the help of a double scale model. This model involves micro-scale and unit-cell scale. In... The longitude tensile properties of 3-Dimension-4-directional(3D-4d) braided C/Si C composites(CMCs) were investigated with the help of a double scale model. This model involves micro-scale and unit-cell scale. In micro-scale, the tensile properties of fiber tows which involves matrix cracking, interfacial debonding, and fiber failure are studied. The unit-cell scale model can reflect the braided structure and simulate the tensile properties of 3D-4d CMCs by introducing the tensile properties of fiber tows into it. Quasi-static tensile tests of 3D-4d braided CMCs were performed on a PWS-100 test system. The predicted tensile stressstrain curve by the double scale model is in good agreement with that of the experimental results. 展开更多
关键词 3D-4d braided C/SiC composites double-scale model stress-strain curve fiber tows
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Creep Test of Polymer-matrix 3-D Braided Composites 被引量:2
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作者 陈利 李嘉禄 +1 位作者 陈光伟 李典森 《Journal of Donghua University(English Edition)》 EI CAS 2006年第1期1-3,共3页
The long-term creep behavior of polymer-matrix 3-D braided composites was studied by using the tensile creep test method, and the effect of braiding structure, braiding angle and fiber volume fraction were discussed. ... The long-term creep behavior of polymer-matrix 3-D braided composites was studied by using the tensile creep test method, and the effect of braiding structure, braiding angle and fiber volume fraction were discussed. The creep curve appears as expected, and can be defined two phases, namely, the primary phase and the secondary phase. For each sample, strain increases with time rapidly, and then the strain rate decreases and appears to approach a constant rate of change (steady-state creep). The experiment results show that the creep resistant properties are improved while the braiding angle decreases or the fiber volume fraction increases, and that the five-directional braiding structure offers better creep resistant properties than the four-directional braiding structure. 展开更多
关键词 蠕变 三维编织复合物 聚合物 拉伸试验
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Effects of Fiber Volume Fraction on Damping Properties of Three-Dimensional and Five-Directional Braided Composites 被引量:1
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作者 高岩 李嘉禄 《Journal of Donghua University(English Edition)》 EI CAS 2015年第3期458-465,共8页
The effects of fiber volume fraction on damping properties of carbon fiber three-dimensional and five-directional( 3D-5Dir)braided carbon fiber / epoxyres in composite cantilever beams were studied by experimental mod... The effects of fiber volume fraction on damping properties of carbon fiber three-dimensional and five-directional( 3D-5Dir)braided carbon fiber / epoxyres in composite cantilever beams were studied by experimental modal analysis method. Meanwhile,carbon fiber plain woven laminated / epoxy resin composites with different fiber volume fraction were concerned for comparison. The experimental result of braided specimens shows that the first three orders of natural frequency increase and the first three orders of the damping ratios of specimens decrease, when the fiber volume fraction increases. Furthermore,larger fiber volume fraction will be valuable for the better anti-exiting property of braided composites,and get an opposite effect on dissipation of vibration energy. The fiber volume fraction is an important factor for vibration performance design of braided composites. The comparison between the braided specimens and laminated specimens reveals that 3D braided composites have a wider range of damping properties than laminated composites with the same fiber volume fractions. 展开更多
关键词 damping properties experimental modal analysis three-dimensional and five-directional(3D-5Dir) braided composites free vibration characters fiber volume fraction
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Braided river and distribution patterns of sand bodies of Jurassic Badaowan formation in Block T13 of Junggar basin 被引量:4
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作者 SUN Xiaofang JIN Zhenkui +2 位作者 WANG Zhaofeng HUANG Xiaoping GU Junfeng 《Mining Science and Technology》 EI CAS 2010年第3期446-452,共7页
In order to determine the planar and volume distribution of sand bodies of the Jurassic Badaowan formation in Block T13 of Junggar basin,we used analysis of field outcrop and 3D seismic data,which play an essential ro... In order to determine the planar and volume distribution of sand bodies of the Jurassic Badaowan formation in Block T13 of Junggar basin,we used analysis of field outcrop and 3D seismic data,which play an essential role in areas of sparse well coverage.We describe sedimentary facies characteristics,sand body planforms,width and connectivity patterns of sand bodies,and vertical associations and successions by acoustic impedance inversion technology and sedimentological theory.Results of our study show braided fluvial strata deposits in the Jurassic Badaowan formation.Each sand body is approximately lenticular in shape.The width of each sand body falls in the range 100~800 m,with most between 200 and 400 m.The sand bodies vary in thickness from 4 to 13 m,with most below 9 m.The width/thickness ratios lie in the range 20~55.The connectivity of braided fluvial channel sand bodies is controlled by changes of accommodation space.One fining-upward sedimentary cycle of base-level rise is recognized in Badaowan formation,representing an upward rise of base level.The connectivity of sand bodies was found to be greatest in the early stage of base-level rise,becoming progressively worse with increasing base-level rise. 展开更多
关键词 沉积砂体 盆地形成 侏罗系 准噶尔 分布规律 河流 沉积相特征 三维地震数据
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Modification of Longitudinal Modulus of 3D Full Five Directional Braided Composite Materials Base on Energy Theory
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作者 Apeng Dong Shu Li +1 位作者 Wenguo Zhu Jing Pu 《Journal of Beijing Institute of Technology》 EI CAS 2019年第3期651-658,共8页
The aim of this paper is to investigate the longitudinal modulus of three dimensional full five directional (3Df5d) braided composite. First, the analytical model of the internal unit cell is established based on its ... The aim of this paper is to investigate the longitudinal modulus of three dimensional full five directional (3Df5d) braided composite. First, the analytical model of the internal unit cell is established based on its topological structure. Then, according to the intrinsic relation of different cells, the axial moduli of internal, surface and corner cells are systematically deduced, and the influence of corner-cell periodic discontinuity on the moduli is also analyzed. Finally, considering the actual shape of axial yarns after consolidation, the longitudinal moduli of the different cells are modified based on energy theory. The technology factor λ is also proposed in this modification. The results show that the axial mechanical properties of this material can be strongly designable. The straightness of the axial yarns greatly affects the longitudinal modulus. Technology factor λ is between 1 to 2, corresponding to the minimum and the maximum modulus, respectively. 展开更多
关键词 braided composites braidING parameters ELASTIC MODULUS strain energy technology factor
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Torsion properties of poly (glycolide-co-L-lactide) biodegradable braided regeneration conduits for peripheral nerve repair
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作者 Weihua Liu 《Neural Regeneration Research》 SCIE CAS CSCD 2010年第5期342-347,共6页
BACKGROUND: Poly (glycolide-co-L-lactide) (PGLA) braided regeneration conduits have been shown to be biocompatible for the repair of damaged nerve. Mechanical properties, such as radial compression and torsion, g... BACKGROUND: Poly (glycolide-co-L-lactide) (PGLA) braided regeneration conduits have been shown to be biocompatible for the repair of damaged nerve. Mechanical properties, such as radial compression and torsion, greatly influence nerve regeneration and functional recovery. OBJECTIVE: To observe the influence of conduit parameters and coating methods on torsion properties in an in vitro-degradation environment and at normal temperature. DESIGN, TIME AND SE'I-FING: An in vitro, comparative study using repeated measures was performed at the College of Textiles, Donghua University, China from January 2005 to December 2007. MATERIALS: PGLA fiber and yarn (Shanghai Bio-TianQing, China), as well as torsion property testing instrument (LaiZhou Electronic Instrument, China), were used in the present study. METHODS: A total of 16 types of conduits were constructed according to braiding structures (regular/triaxial), angles (50°/55°/60°/65°)nd coating methods (coated/uncoated). At normal temperature, torsion properties of all conduits were tested at a predefined constant angle of 90°. Coated and uncoated conduits, which were triaxial and 65°, were incubated in a 5% CO2 incubator at 37 ℃ to simulate an in vitro degradation environment, and then torsion properties were tested at 4, 7, 11, 14, 17, 21,24, and 28 days in culture. MAIN OUTCOME MEASURES: Maximal torsion strength and torsion strength-torsion angle curve of conduits at normal temperature, as well as torsion strength-torsion angle curve, loss of torsion strength, and change in maximal torsion strength in an in vitro degradation environment. RESULTS: At normal temperature, the torsion properties of the triaxial structure were superior to the regular structure. Coated conduits performed better than uncoated ones, and the larger braiding angles exhibited superior torsion properties (P 〈 0.05). In the in vitro degradation environment, with degradation time, torsion strength of uncoated conduits was deceased gradually and the loss of torsion strength was increased fast. Torsion strength of coated conduits was increased first and decreased afterwards; the loss of torsion strength was decreased slowly till 14 days; both became identical after 14 days (P 〉 0.05). CONCLUSION: Torsion properties of coated conduits with a triaxial structure and large braiding angle were superior to uncoated conduits with regular structures and small braiding angles. 展开更多
关键词 braiding angle braiding structure biodegradable braided regeneration conduits torsion properties in vitro degradation
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Filling Simulation of Three-dimension Braided Composite in Resin Transfer Molding 被引量:4
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作者 吴晓青 李嘉禄 +1 位作者 R Ajit Shenoi 汪日伟 《Journal of Donghua University(English Edition)》 EI CAS 2005年第4期109-113,共5页
This paper measured permeability of three-dimension braided preform by radial technology. The results show that principal permeability tensor coincided with their braiding axial direction. The software of one dimensio... This paper measured permeability of three-dimension braided preform by radial technology. The results show that principal permeability tensor coincided with their braiding axial direction. The software of one dimensional flow filling mold was designed using Visual C++ language. Filling time is predicted and validated. The result showed that the filling time of the mold centerline agrees with the prediction value. The filling time of the mould edge is shorter than that of the prediction. An actual plate of 3D braided preform/ modified polyarylacetylene composite is produced according to prediction value and validation analysis. 展开更多
关键词 树脂 传递模塑法 填充模拟 三维辫状成型 渗透性
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Theoretical prediction of stiffness and strength of three-dimensional and four-directional braided composites
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作者 李典森 卢子兴 卢文书 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第2期163-170,共8页
Based on unit cell model, the 3D 4-directional braided composites can be simplified as unidirectional composites with different local axial coordinate system and the compliance matrix of unidirectional composites can ... Based on unit cell model, the 3D 4-directional braided composites can be simplified as unidirectional composites with different local axial coordinate system and the compliance matrix of unidirectional composites can be defined utilizing the bridge model. The total stiffness matrix of braided composites can be obtained by the volume average stiffness of unidirectional composites with different local axial coordinate system and the engineering elastic constants of braided composites were computed further. Based on the iso-strain assumption and the bridge model, the stress distribution of fiber bundle and matrix of different unidirectional composites can be determined and the tensile strength of 3D 4-directional braided composites was predicted by means of the Hoffman's failure criterion for the fiber bundle and Mises' failure criterion for the matrix. 展开更多
关键词 3D braiding strength STIFFNESS mechanical properties COMPOSITES
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Braiding Parameters of Medical Silk Braided Suture
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作者 Zhang Peihua(张佩华) +1 位作者 Wu Jianghua(吴建华) 《Journal of Donghua University(English Edition)》 EI CAS 2001年第1期91-96,共6页
The relationships between braiding parameters and properties of medical silk braided suture are investigated. Experimental results indicate that the main factors affecting the suture properties include the proportion ... The relationships between braiding parameters and properties of medical silk braided suture are investigated. Experimental results indicate that the main factors affecting the suture properties include the proportion of core silk and shell silk, braiding density and braiding tension. The results show that the braiding technology significantly influences the suture properties and the optimal braiding parameters were obtained by using the regression method. 展开更多
关键词 MEDICAL textiles braided suture silk.
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Effective Thermal Conductivity for 3D Five-Directional Braided Composites Based on Microstructural Analysis
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作者 ZHAO Xiao MAO Junkui JIANG Hua 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2019年第1期128-138,共11页
A method for predicting effective thermal conductivities(ETCs) of three-dimensional five-directional(3D5D) braided composites is presented. The effective thermal conductivity prediction method contains a digital image... A method for predicting effective thermal conductivities(ETCs) of three-dimensional five-directional(3D5D) braided composites is presented. The effective thermal conductivity prediction method contains a digital image processing technology. Multiple scanning electron microscopy(SEM)images of composites are analyzed to obtain actual microstructural features. These actual microstructural features of 3D5D braided composites are introduced into representative volume element(RVE) modeling. Apart from applying actual microstructural features,compression effects between yarns are considered in the modeling of RVE,making the RVE more realistic. Therefore,the ETC prediction method establishes a representative unit cell model that better reflects the true microstructural characteristics of the 3D5D braided composites. The ETCs are predicted with the finite element method. Then thermal conductivity measurements are carried out for a 3D5D braided composite sample.By comparing the predicted ETC with the measured thermal conductivity, the whole process of the ETC prediction method is proved to be effective and accurate,where a relative error of only 2.9 % is obtained.Furthermore,the effects of microstructural features are investigated,indicating that increasing interior braiding angles and fiber fill factor can lead to higher transverse ETCs. Longitudinal ETCs decrease with increasing interior braiding angles,but increase with increasing fiber fill factor. Finally,the influence of variations of microstructure parameters observed in digital image processing are investigated. To explore the influence of variations in microstructural features on variations in predicted ETCs,the actual probability distributions of microstructural features obtained from the 3D5D braided composite sample are introduced into the ETC investigation. The results show that,compared with the interior braiding angle,variations in the fiber fill factor exhibit more significant effects on variations in ETCs. 展开更多
关键词 EFFECTIVE thermal CONDUCTIVITY digital image PROCESSING VARIATION 3D five-directional braided COMPOSITES
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DEVELOPMENT OF BRAIDED-PULTRUSION PROCESS AND STRUCTURE-PROPERTY RELATIONSHIPS FOR TUBULAR COMPOSITES
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作者 J.H. Byun S.-K.Lee and B.S. Kim (Korea Institute of Machinery and Materials, P.O. Box 41, Changwon, Korea 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 1996年第6期555-564,共10页
In order to realize the potential of composite materials, it is imperative to develop a manufacturing process, to understand the microstructures, and to assess the structural performance of the composite. The braided-... In order to realize the potential of composite materials, it is imperative to develop a manufacturing process, to understand the microstructures, and to assess the structural performance of the composite. The braided-pultrusion process, which combines the pultrusion process with the braiding technology, has been developed by utilizing a novel resin impregnation device. The goal of the development is to achieve both costeffectiveness and performance of the composite. The tubular composites of diameter 5.3 mm have been produced using Kevlar 49 fiber and polyester resin. In order to assess the mechanical performance of the composites, an analytical method for predicting the elastic constants has been developed. The analysis includes the geometric model of a unit cell, coordinate transformation, and averaging of stiffness and compliance constants of the constituent materials. The analytic predictions compared favorably with experimental results. 展开更多
关键词 braided pultrusion IMPREGNATION structural performance
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Flow patterns and critical criteria of thermally stratified shear flow in braided rivers
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作者 Li Gu Qiu-lan Li +3 位作者 Bo Dai Zu-lin Hua Xiao-dong Liu Ke-jian Chu 《Water Science and Engineering》 EI CAS CSCD 2017年第3期225-235,共11页
Flow characteristics of thermally stratified shear flow in braided rivers are particularly complicated and poorly understood. In this study, a series of typical flow patterns was examined and their critical criteria w... Flow characteristics of thermally stratified shear flow in braided rivers are particularly complicated and poorly understood. In this study, a series of typical flow patterns was examined and their critical criteria were determined. Four flow patterns were identified: mixed, locally unstable, continuously stratified, and two-layer flow. Temperature distributions of the four types of flow patterns were analyzed and compared.The critical Froude numbers for unstable flow, FDcr1, and stable flow, FDcr2, were determined to be 6 and 1, respectively, and comparison of FDcr1 and FDcr2 to the peak Froude numbers, FD1 at the outer bank and FD2 at the inner bank along the anabranch, allowed the flow patterns to be assessed. Then, a discriminant based on initial Jeffreys-Keulegan stability parameters was established to distinguish the flow stages from twolayer flow to completely mixed flow. It is indicated that the three critical Jeffreys-Keulegan parameters increased with the diversion angle of braided rivers. Results also show that, compared to the stratified flow in straight and curved channels, it was more difficult for braided stratified flow to maintain as two-layer flow, and it more easily became mixed flow. Consequently, empirical expressions for stability criteria of the thermally stratified shear flow in braided rivers are presented. 展开更多
关键词 braided river CRITICAL CRITERION Empirical FORMULA FLOW pattern Temperature distribution Thermally STRATIFIED FLOW
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From Braided Infinitesimal Bialgebras to Braided Lie Bialgebras
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作者 Shengxiang Wang 《Advances in Pure Mathematics》 2017年第7期366-374,共9页
The present paper is a continuation of [1], where we considered braided infinitesimal Hopf algebras (i.e., infinitesimal Hopf algebras in the Yetter-Drin feld category for any Hopf algebra H), and constructed their Dr... The present paper is a continuation of [1], where we considered braided infinitesimal Hopf algebras (i.e., infinitesimal Hopf algebras in the Yetter-Drin feld category for any Hopf algebra H), and constructed their Drinfeld double as a generalization of Aguiar’s result. In this paper we mainly investigate the necessary and sufficient condition for a braided infinitesimal bialgebra to be a braided Lie bialgebra (i.e., a Lie bialgebra in the category ). 展开更多
关键词 braided INFINITESIMAL BIALGEBRA braided LIE BIALGEBRA YETTER-DRINFELD CATEGORY Balanceator
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