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Determination of Thermal Properties of Unsmooth Si Nanowires
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作者 刘世贤 Alexander A.Barinov +1 位作者 訚菲 Vladimir I.Khvesyuk 《Chinese Physics Letters》 SCIE EI CAS CSCD 2024年第1期51-56,共6页
We estimate the thermal properties of unsmooth Si nanowires,considering key factors such as size(diameter),surface texture(roughness)and quantum size effects(phonon states)at different temperatures.For nanowires with ... We estimate the thermal properties of unsmooth Si nanowires,considering key factors such as size(diameter),surface texture(roughness)and quantum size effects(phonon states)at different temperatures.For nanowires with a diameter of less than 20 nm,we highlight the importance of quantum size effects in heat capacity calculations,using dispersion relations derived from the modified frequency equation for the elasticity of a rod.The thermal conductivities of nanowires with diameters of 37,56,and 115nm are predicted using the Fuchs–Sondheimer model and Soffer’s specular parameter.Notably,the roughness parameters are chosen to reflect the technological characteristics of the real surfaces.Our findings reveal that surface texture plays a significant role in thermal conductivity,particularly in the realm of ballistic heat transfer within nanowires.This study provides practical recommendations for developing new thermal management materials. 展开更多
关键词 NANOWIRES ROUGHNESS SIZE
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Terahertz technology in intraoperative neurodiagnostics:A review
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作者 Nikita V.Chernomyrdin Guzel R.Musina +8 位作者 Pavel V.Nikitin Irina N.Dolganova Anna S.Kucheryavenko Anna I.Alekseeva Yuye Wang Degang Xu Qiwu Shi Valery V.Tuchin Kirill I.Zaytsev 《Opto-Electronic Advances》 SCIE EI CAS CSCD 2023年第5期41-67,共27页
Terahertz(THz)technology offers novel opportunities in biology and medicine,thanks to the unique features of THzwave interactions with tissues and cells.Among them,we particularly notice strong sensitivity of THz wave... Terahertz(THz)technology offers novel opportunities in biology and medicine,thanks to the unique features of THzwave interactions with tissues and cells.Among them,we particularly notice strong sensitivity of THz waves to the tissue water,as a medium for biochemical reactions and a main endogenous marker for THz spectroscopy and imaging.Tissues of the brain have an exceptionally high content of water.This factor,along with the features of the structural organization and biochemistry of neuronal and glial tissues,makes the brain an exciting subject to study in the THz range.In this paper,progress and prospects of THz technology in neurodiagnostics are overviewed,including diagnosis of neurodegenerative disease,myelin deficit,tumors of the central nervous system(with an emphasis on brain gliomas),and traumatic brain injuries.Fundamental and applied challenges in study of the THz-wave–brain tissue interactions and development of the THz biomedical tools and systems for neurodiagnostics are discussed. 展开更多
关键词 THz technology THz spectroscopy and imaging superresolution imaging BIOPHOTONICS brain neurodiagnosis tumor GLIOMA neurodegenerative diseases brain injury light scattering
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Super-Ni叠层复合材料与18-8钢TIG焊接头区的显微组织 被引量:3
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作者 夏春智 李亚江 +1 位作者 U.A.Puchkov 王娟 《中国有色金属学报》 EI CAS CSCD 北大核心 2010年第6期1149-1154,共6页
采用填丝钨极氩弧焊(TIG)方法对复层厚度仅为0.3mm的Super-Ni叠层复合材料与18-8不锈钢进行焊接试验。焊后对焊缝的微观组织及显微硬度、熔合区附近元素分布等进行分析。结果表明:叠层复合材料与焊缝形成可靠的熔合,Super-Ni复层侧熔合... 采用填丝钨极氩弧焊(TIG)方法对复层厚度仅为0.3mm的Super-Ni叠层复合材料与18-8不锈钢进行焊接试验。焊后对焊缝的微观组织及显微硬度、熔合区附近元素分布等进行分析。结果表明:叠层复合材料与焊缝形成可靠的熔合,Super-Ni复层侧熔合区附近的显微硬度升高(HM190);18-8不锈钢侧焊缝的显微硬度低于不锈钢母材的,不锈钢热影响区的显微硬度最高(290HM);不锈钢一侧热影响区形成δ铁素体和碳化物析出;母材与焊缝间形成Fe与Ni元素的明显过渡,叠层复合材料侧元素过渡区域的宽度为80~85μm,18-8不锈钢侧元素过渡区域的宽度约为20μm;焊接中应使钨极氩弧偏向18-8不锈钢一侧,以避免Ni复层的过度烧损。 展开更多
关键词 叠层复合材料 钨极氩弧焊 显微组织 元素分布 熔合区
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Al2O3-TiC/Q235真空扩散钎焊界面组织及抗剪强度 被引量:3
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作者 王娟 李亚江 S. A. GERASIMOV 《焊接学报》 EI CAS CSCD 北大核心 2008年第12期25-28,共4页
为了获得Al2O3-TiC陶瓷基复合材料与Q235钢的接头,采用Ti/Cu/Ti复合中间层对Al2O3-TiC复合材料与Q235低碳钢进行了真空扩散钎焊。通过扫描电镜、能谱分析和电子探针、抗剪试验等测试方法对Al2O3-TiC/Q235扩散钎焊界面的组织、成分及结... 为了获得Al2O3-TiC陶瓷基复合材料与Q235钢的接头,采用Ti/Cu/Ti复合中间层对Al2O3-TiC复合材料与Q235低碳钢进行了真空扩散钎焊。通过扫描电镜、能谱分析和电子探针、抗剪试验等测试方法对Al2O3-TiC/Q235扩散钎焊界面的组织、成分及结合强度进行分析。结果表明,控制加热温度为1110℃,可获得界面抗剪强度122MPa的Al2O3-TiC/Q235扩散钎焊接头,Ti/Cu/Ti复合中间层与Al2O3-TiC和Q235润湿性较好,并发生一定程度的扩散反应,在Al2O3-TiC与Q235之间形成厚度约80μm的界面过渡区,过渡区内形成的组织结构主要是Ti3AlC2,Fe2Ti,Cu和TiC。 展开更多
关键词 AL2O3-TIC 扩散钎焊 抗剪强度 组织特征
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回程轨迹参数对铝合金球面件旋压成形性能的影响(英文) 被引量:2
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作者 甘甜 于忠奇 +2 位作者 赵亦希 S.A.EVSYUKOV 来新民 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2018年第2期328-339,共12页
在多道次普旋成形中,多采用往程和回程结合的旋轮轨迹形式来提高材料的成形性能。为了深入探究回程旋压,对2024-O铝合金半球件回程旋压轨迹进行研究。基于二次Bezier曲线,建立普旋回程旋轮轨迹的参数化设计方法;并结合有限元技术,分析... 在多道次普旋成形中,多采用往程和回程结合的旋轮轨迹形式来提高材料的成形性能。为了深入探究回程旋压,对2024-O铝合金半球件回程旋压轨迹进行研究。基于二次Bezier曲线,建立普旋回程旋轮轨迹的参数化设计方法;并结合有限元技术,分析回程轨迹参数对2024-O铝合金半球件旋压应力、应变和减薄率的影响规律。通过对回程旋压的仿真分析,揭示回程的应力和应变特点。结果表明,回程道次的使用可以明显提高铝合金球面件的壁厚均匀性;同时,揭示了Bezier曲线参数化选择与旋压厚度均匀性的关系。 展开更多
关键词 普旋 多道次成形 轨迹设计 回程
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波纹辊和平辊轧制Ti/Cu/Ti层压复合材料的显微组织与力学性能 被引量:1
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作者 刘竹波 王昕玥 +4 位作者 刘名硕 刘元铭 刘江林 A.V.IGNATOV 王涛 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2022年第8期2598-2608,共11页
采用波纹辊和平辊轧制方法制备钛/铜/钛(Ti/Cu/Ti)层压复合板材料。通过扫描电镜、数值模拟、剥离和拉伸实验等方法研究层压复合板的显微组织和力学性能,对比分析波纹辊和平辊轧制效果。结果表明:波纹辊和平辊轧制的层压复合板在Ti层和C... 采用波纹辊和平辊轧制方法制备钛/铜/钛(Ti/Cu/Ti)层压复合板材料。通过扫描电镜、数值模拟、剥离和拉伸实验等方法研究层压复合板的显微组织和力学性能,对比分析波纹辊和平辊轧制效果。结果表明:波纹辊和平辊轧制的层压复合板在Ti层和Cu层界面处表现出不同的有效塑性应变分布。波纹辊轧制的层压复合板中,Ti层具有再结晶织构、棱柱面织构和棱锥面织构,Cu层形成高斯织构和剪切织构;而平辊轧制的层压复合板中,Ti层和Cu层均具有典型的变形织构。波纹辊轧制的层压复合板材料具有较高的结合强度、抗拉强度和延展性。 展开更多
关键词 Ti/Cu/Ti层压复合材料 波纹辊轧制 平辊轧制 结合强度 界面微观结构 有限元分析
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Double-AOTF-based aberration-free spectral imaging endoscopic system for biomedical applications 被引量:1
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作者 Alexander Machikhin Vitold Pozhar Vladislav Batshev 《Journal of Innovative Optical Health Sciences》 SCIE EI CAS 2015年第3期72-77,共6页
The problem of in vrivo photoluminescence diagnostics of the tissues acessible by endoscopes is discussed.The spectral imaging module attachable to conventional rigid and flexible medical endoscopes is developed and d... The problem of in vrivo photoluminescence diagnostics of the tissues acessible by endoscopes is discussed.The spectral imaging module attachable to conventional rigid and flexible medical endoscopes is developed and described.It is based on a double acousto-optical tunable filter(AOTF)and a specialized optical coupling system.The module provides wide field of view(FOV),absence of image distortions,random spectral access,fast spectral image acquisition at any wavelength in the visible range and accurate measurement of reflectance spectrum in each pixel of the image.Images of typical biomedical samples are presented and discussed.Their spectra are compared to the reference data. 展开更多
关键词 Spectral imaging spectrasoopy double monochromatization acousto-optical tunable fiter photoluminescence diagnostics ENDOSCOPY
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Effect of Mechanical Surface Treatment on the Bonding Mechanism and Properties of Cold‑Rolled Cu/Al Clad Plate 被引量:1
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作者 Jianchao Han Hui Niu +5 位作者 Sha Li Zhongkai Ren Yi Jia Tao Wang A.I.Plokhikh Qingxue Huang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2020年第5期212-224,共13页
In the case of valuable cold-rolled Cu/Al clad plates,billet surface treatment before rolling is a significant process that can affect the bonding efficiency and quality.While the current studies primarily focus on th... In the case of valuable cold-rolled Cu/Al clad plates,billet surface treatment before rolling is a significant process that can affect the bonding efficiency and quality.While the current studies primarily focus on the influence of rolling parameters,insufficient attention has been paid to surface treatment.In this study,the effects of mechanical surface treatment on the bonding mechanism and bonding properties of cold-rolled Cu/Al clad plates were investigated.The results showed that different mechanical surface treatments have significant effects on the surface morphology,roughness,and residual stress.In addition,the effect of surface mechanical treatment on bonding quality was also observed to be critical.When the grinding direction was consistent with the rolling direction(RD),the bonding quality of the Cu/Al clad plates was significantly improved.After surface treatment along the RD for 20 s,the Cu/Al clad plates showed the highest shear strength(78 MPa),approximately four times as high as that of the unpolished samples.Simultaneously,the peel strength of this process was also significantly higher than that achieved via the other processes.Finally,on the basis of the surface morphology,roughness,and residual stress,the effect of surface treatment on the bonding mechanism and bonding properties of Cu/Al clad plates was analyzed.This study proposes a deeper understanding of the bonding behavior and bonding mechanism for cold rolled clad plates processed via mechanical surface treatment. 展开更多
关键词 Cu/Al clad plates Cold rolling bonding Surface treatment Bonding mechanism Bonding property
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Selection of Measured Signals in the Navigation Measuring Complex 被引量:1
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作者 柯芳 Andrey PROLETARSKY Konstantin NEUSIPIN 《Journal of Measurement Science and Instrumentation》 CAS 2011年第4期346-348,共3页
To increase accuracy of navigation parameters,a perspective measuring complex with intellectual components is developed.Conception of synthesis optimal structure of the measuring complex is realized basing on a select... To increase accuracy of navigation parameters,a perspective measuring complex with intellectual components is developed.Conception of synthesis optimal structure of the measuring complex is realized basing on a selective method using principles of the functional systems.Selection of measured information is finished by original numeric criterion of observation level of state vector components.Prediction is realized by algorithm of self-organization that makes synthesis of the optimal complication.Therefore mechanism of self-regulation is realized and accuracy of the selective navigation complex is increased. 展开更多
关键词 信号测量 导航测量 导航参数 角度测量 数字标准 状态向量 测量信息 调节机制
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Experimental Investigation of Two-Phase Flow Maldistribution in Plate Heat Exchangers 被引量:1
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作者 Zhaiyk Tokhtarov Vitaly Perov +5 位作者 Vitaly Borisov Evgeny Tikhomirov Olga Grunina Nadezhda Kapustina Elmira Cherkasova Natalya Suray 《Fluid Dynamics & Materials Processing》 EI 2022年第4期1015-1024,共10页
After conducting a critical survey of the different categories of existing heat exchangers,the results of several experiments about the behaviour of a two-phase current in an open channel are reported.The results conf... After conducting a critical survey of the different categories of existing heat exchangers,the results of several experiments about the behaviour of a two-phase current in an open channel are reported.The results confirm the complexity of the problems induced in heat exchangers by flow maldistribution,especially when two-phase flows are considered in multi-channel systems.It is shown that severe misalignment of heat exchangers can lead to a loss of economic performance of more than 25%.Improper distribution of fluid flow causes longer fluid coils to form,and the liquid cochlea can eventually occupy a large space,thereby reducing heat transfer and disrupting the considered biphasic system.The use of a small diameter distribution pipe with properly spaced outlet holes seems to be a promising approach to fix many of these issues.It is found that the current distribution in the channels,in addition to the header pressure distribution,also depends on factors such as the geometry and the initial flow regime in the header. 展开更多
关键词 MALDISTRIBUTION heat exchangers two phase open channel
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On the Downscaling of Meteorological Fields Using Recurrent Networks for Modelling the Water Balance in a Meso-Scale Catchment Area of Saxony,Germany 被引量:1
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作者 Rico Kronenberg Klemens Barfus +1 位作者 Johannes Franke Christian Bernhofer 《Atmospheric and Climate Sciences》 2013年第4期552-561,共10页
In this study, recurrent networks to downscale meteorological fields of the ERA-40 re-analysis dataset with focus on the meso-scale water balance were investigated. Therefore two types of recurrent neural networks wer... In this study, recurrent networks to downscale meteorological fields of the ERA-40 re-analysis dataset with focus on the meso-scale water balance were investigated. Therefore two types of recurrent neural networks were used. The first approach is a coupling between a recurrent neural network and a distributed watershed model and the second a nonlinear autoregressive with exogenous inputs (NARX) network, which directly predicted the component of the water balance. The approaches were deployed for a meso-scale catchment area in the Free State of Saxony, Germany. The results show that the coupled approach did not perform as well as the NARX network. But the meteorological output of the coupled approach already reaches an adequate quality. However the coupled model generates as input for the watershed model insufficient daily precipitation sums and not enough wet days were predicted. Hence the long-term annual cycle of the water balance could not be preserved with acceptable quality in contrary to the NARX approach. The residual storage change term indicates physical restrictions of the plausibility of the neural networks, whereas the physically based correlations among?the components of the water balance were preserved more accurately by the coupled approach. 展开更多
关键词 DOWNSCALING Recurrent Neural Networks NARX WaSim-ETH Water Balance ERA-40 Re-Analysis
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Applications of two electric arc plasma torches for the beneficiation of natural quartz
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作者 Yuri-Mikhailovich Grishin Long Miao +2 位作者 Lev-Alekseevich Borisov Nikolay-Mikhailovich Serykh Alexey-Yurievich Kulagin 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2019年第3期267-273,共7页
Experimental beneficiation processes of quartz concentrate in arc plasma torches of two different types and electric powers were studied. An emission scanning electron microscope and a universal laser analyzer were us... Experimental beneficiation processes of quartz concentrate in arc plasma torches of two different types and electric powers were studied. An emission scanning electron microscope and a universal laser analyzer were used to investigate the structures as well as the size distributions of grains and microparticles. Inductively coupled plasma–mass spectrometry was used to determine the chemical compositions of nonstructural solid-phase mineral impurities in quartz concentrate. Results related to the modified grains' structure and size distribution, the compositions of impurities, and the gas–liquid inclusions in the quartz concentrate were investigated. The total impurities concentrations in the processed grains were found to satisfy the IOTA-STD standard(industry standard for grading high quality fused quartz products). The optimal condition(i.e., the optimal specific plasma enthalpy) for the production of high-purity quartz in arc plasma torches was found to depend on the geological-genetic type and the structural and textural features(i.e., chemical composition and gas–liquid inclusions) of the quartz concentrate. 展开更多
关键词 LOW-TEMPERATURE PLASMA BENEFICIATION high PURITY QUARTZ arc PLASMA TORCH IOTA-STD standard
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Simulating weld hot crack of T-type joints of aluminum plates with ANN
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作者 董志波 魏艳红 +1 位作者 B.Yakushin D.Semin 《中国有色金属学会会刊:英文版》 CSCD 2005年第S2期25-29,共5页
Artificial neural network(ANN) technology was applied to predict weld hot crack susceptibility of the T-type welded joints of aluminum alloys. A primary prediction model was established by training and testing models ... Artificial neural network(ANN) technology was applied to predict weld hot crack susceptibility of the T-type welded joints of aluminum alloys. A primary prediction model was established by training and testing models with different structures and committee models with different numbers of sub models. The models were improved by decreasing the input variables and data-covering space. Then welding hot crack prediction model committee for T-type joints of aluminum plates was developed. Its input parameters include base metal composition, filler metal composition and welding technique, the output parameter is the total length of the weld hot crack. The performance analysis shows that the predicted trend agrees well with the previous research work. 展开更多
关键词 artificial neural network aluminum alloy WELD hot CRACK
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Dynamic Modeling of the Feed Drive System of a CNC Metal Cutting Machine
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作者 H.Heydarnia I.A.Kiselev +1 位作者 M.M.Ermolaev S.Nikolaev 《Sound & Vibration》 EI 2021年第1期19-30,共12页
Studying the vibrational behavior of feed drive systems is important for enhancing the structural performance of computer numerical control(CNC)machines.The preload on the screw and nut position have a great influence... Studying the vibrational behavior of feed drive systems is important for enhancing the structural performance of computer numerical control(CNC)machines.The preload on the screw and nut position have a great influence on the vibration characteristics of the feed drive as two very important operational conditions.Rotational acceleration of the screw also affects the performance of the CNC feed drive when machining small parts.This paper investigates the influence of preload and nut position on the vibration characteristics of the feed drive system of a CNC metal cutting machine in order to be able to eliminate an observed resonance occurred at high rotational speeds of the screw,corresponding to high feed rates.Additionally,rational structural parameters of the feed drive system are selected in order to increase the rotational acceleration for improving the performance of the CNC machine.Experiments and analyses showed that by selecting specific parameters of feed drive system and simultaneously applying a certain value of preload,a 97%increase in rotational acceleration and 30%time reduction considering the vibration resistance at high rotational speeds can be achieved. 展开更多
关键词 Machining performance CNC machine tools vibration characteristics machine tool dynamic modeling
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Prouhet-Thue-Morse序列和原子函数在物理和技术中的应用(英文)
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作者 Victor F Kravchenko Oleg V Kravchenko Yaroslav Y Konovalov 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2015年第2期128-141,共14页
本文系统地阐述了信号与图像处理中与原子函数理论和Prouhet-Thue-Morse序列相关的大量研究成果。
关键词 原子函数 Prouhet-Thue-Morse序列 数字信号处理 图像处理
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Influence of Different Forest Management Techniques on the Quality of Wood
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作者 Olga Grigoreva Elena Runova +5 位作者 Alexei Alyabyev Edward Hertz Anna Voronova Viktor Ivanov Svetlana Shadrina Igor Grigorev 《Journal of Renewable Materials》 SCIE EI 2021年第12期2175-2188,共14页
The issue of accelerated forestry plantation with high-quality wood using the best soils in terms of productivity,fertilizers,and intensive treatment has become quite relevant due to increased demand for forestry prod... The issue of accelerated forestry plantation with high-quality wood using the best soils in terms of productivity,fertilizers,and intensive treatment has become quite relevant due to increased demand for forestry products and higher requirements for environmentally friendly use of forest resources.This paper presents the results of a study on the impact of various techniques for treating coniferous plantations,including thinning,fertilization,and herbicide processing,on wood quality key indicators.The paper examined the wood density,correlation of early and late wood zones,and the cell wall thickness for 38-year-old pine trees grown on the sample plots of Siversky leskhoz(Leningrad region,Gatchinskiy district)at different treatment and density control techniques.It has been established that the highest basis density of wood corresponds to the samples grown at the density variant of 1 t/ha and double herbicides treatment,and the lowest basis density value was recorded at the option of 4 t/ha with combined treatment.It has been shown that the increase of width index for early wood is influenced by the lower density of 1 t/ha and one-time herbicide treatment,for late wood–by the lower density of 1 t/ha and repeated treatment with herbicides.The increase in average cell wall thickness for early and late wood is observed when the density increases up to 4 t/ha and double herbicides treatment.The results obtained provide a valuable scientific contribution to general forestry knowledge and have practical value in plantation forestry. 展开更多
关键词 AGROFORESTRY ecosystem services plantation forestry wood structure planting density
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Railway Transport Infrastructure Monitoring by UAVs and Satellites
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作者 Sergey I. Ivashov Alexander B. Tataraidze +1 位作者 Vladimir V. Razevig Eugenia S. Smirnova 《Journal of Transportation Technologies》 2019年第3期342-353,共12页
Improving the rail transport security requires development and implementation of neoteric monitoring and control facilities in conditions of increasing speed and intensity of the train movement and high level of terro... Improving the rail transport security requires development and implementation of neoteric monitoring and control facilities in conditions of increasing speed and intensity of the train movement and high level of terrorist threat. Use of Earth remote sensing (ERS), permitting to obtain information from large areas with a sufficiently high resolution, can provide significant assistance in solving the mentioned problems. This paper discusses the possibility of using various means of remote sensing such as satellites and unmanned aerial vehicles (UAV), also known as drones, for receiving information in different ranges of the electromagnetic spectrum. The paper states that joint using of both these means gives new possibilities in improving railroad security. 展开更多
关键词 Transport INFRASTRUCTURE MONITORING Remote SENSING Satellite Unmanned AERIAL Vehicle (UAV) AERIAL PHOTOGRAPHY Radar SENSING 3D Image Processing
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Evaluation of Filler Distribution in Particulate Reinforced Composites
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作者 Kurganova Yuliya Lopatina Yuliya Yijin Chen 《Journal of Materials Science and Chemical Engineering》 2015年第7期108-112,共5页
Aluminum matrix particulate reinforced composites are of significant interest to industry, but it’s difficult to provide stable properties for this group of material. The mechanical properties of metal matrix composi... Aluminum matrix particulate reinforced composites are of significant interest to industry, but it’s difficult to provide stable properties for this group of material. The mechanical properties of metal matrix composites are deeply influenced by the distribution of reinforcement particulates in the matrix. In this paper uniformity of SiC particles distribution in Al-based composites produced by stir casting and powder metallurgy technique is assessed. Analysis is carried out by means of classical and computer quantification metallographic image analysis methods. In addition, we suggest setting hardness distribution in cross section of samples as an indicator of reinforcement distribution uniformity in the matrix. 展开更多
关键词 PARTICULATE REINFORCED COMPOSITES Metal Matrix COMPOSITES FILLER DISTRIBUTION Quantification Metallographic Analysis MICROHARDNESS
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Revealing the Invisible: A New Approach for Enhancing Industrial Safety, Reliability and Remaining Life Assessment
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作者 Isaac Einav Boris Artemiev Sergey Zhukov 《Journal of Chemistry and Chemical Engineering》 2015年第3期191-198,共8页
关键词 剩余寿命评估 可靠性 工业安全 生命周期管理 磁各向异性 隐形 机械应力 市政基础设施
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Mechanical Properties of Graphene within the Framework of Gradient Theory of Adhesion
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作者 Petr Anatolevich Belov 《Journal of Civil Engineering and Architecture》 2014年第6期693-698,共6页
关键词 梯度理论 石墨 力学性能 框架 粘附 二维介质 弯曲问题 梯度模型
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