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Numerical Analysis for High⁃Throughput Elastic Modulus Measurement of Substrate⁃Supported Thin Films
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作者 HAN Meidong LI Yu +1 位作者 ZOU Jinluo HE Wei 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2024年第5期555-563,共9页
Micro/nano-thin films are widely used in the fields of micro/nano-electromechanical system(MEMS/NEMS)and flexible electronics,and their mechanical properties have an important impact on the stability and reliability o... Micro/nano-thin films are widely used in the fields of micro/nano-electromechanical system(MEMS/NEMS)and flexible electronics,and their mechanical properties have an important impact on the stability and reliability of components.However,accurate characterization of the mechanical properties of thin films still faces challenges due to the complexity of film-substrate structure,and the characterization efficiency of traditional techniques is insufficient.In this paper,a high-throughput determination method of the elastic modulus of thin films is proposed based on the strain variance method,the feasibility of which is analyzed by the finite element method(FEM),and the specific tensile configuration with array-distributed thin films is designed and optimized.Based on the strain difference between the film-substrate region and the uncoated region,the elastic modulus of multiple films is obtained simultaneously,and the influences of film width,spacing,thickness,and distribution on the measurement of elastic modulus are elucidated.The results show that the change in film width has a more obvious effect on the elastic modulus determination than film spacing and thickness,i.e.,the larger the film width is,the closer the calculation results are to the theoretical value,and the change in calculation results tends to be stabilized when the film width increases to a certain length.Specifically,the simultaneous measurement of the elastic modulus of eight metal films on a polyimide(PI)substrate with a length of 110 mm and a width of 30 mm can be realized,and the testing throughput can be further increased with the extension of the substrate length.This study provides an efficient and low-cost method for measuring the elastic modulus of thin films,which is expected to accelerate the development of new thin film materials. 展开更多
关键词 HIGH-THROUGHPUT thin films elastic modulus finite element method strain variance method
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Effects of Applying Organic Fertilizer on Rice Lodging Resistance and Yield 被引量:28
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作者 邓文 青先国 杨玉 《Agricultural Science & Technology》 CAS 2010年第2期98-101,共4页
[Objective]The aim was to provide a scientific basis for the reasonable application of organic fertilizer to improve lodging resistance and yield of rice.[Method]The application of four different kinds of organic fert... [Objective]The aim was to provide a scientific basis for the reasonable application of organic fertilizer to improve lodging resistance and yield of rice.[Method]The application of four different kinds of organic fertilizer was applied to study their effects on rice lodging resistance and yield of late rice Yuzhengxiang that with high quality.[Result] The effect of applying organic fertilizer for improving rice lodging resistance capability was:biogas residues> chicken manure > rapeseed cake> tobac... 展开更多
关键词 RICE Lodging resistance YIELD Organic fertilizer
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Energy-efficient mechanism based on ACO for the coverage problem in sensor networks 被引量:3
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作者 黄如 朱杰 徐光辉 《Journal of Southeast University(English Edition)》 EI CAS 2007年第2期255-260,共6页
An energy-efficient heuristic mechanism is presented to obtain the optimal solution for the coverage problem in sensor networks. The mechanism can ensure that all targets are fully covered corresponding to their level... An energy-efficient heuristic mechanism is presented to obtain the optimal solution for the coverage problem in sensor networks. The mechanism can ensure that all targets are fully covered corresponding to their levels of importance at minimum cost, and the ant colony optimization algorithm (ACO) is adopted to achieve the above metrics. Based on the novel design of heuristic factors, artificial ants can adaptively detect the energy status and coverage ability of sensor networks via local information. By introducing the evaluation function to global pheromone updating rule, the pheromone trail on the best solution is greatly enhanced, so that the convergence process of the algorithm is speed up. Finally, the optimal solution with a higher coverage- efficiency and a longer lifetime is obtained. 展开更多
关键词 sensor networks coverage problem ant colony optimization (ACO) ENERGY-EFFICIENCY
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Finite element analysis of stress at implant-bone interface of dental implants with different structures 被引量:3
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作者 陈良建 何浩 +3 位作者 李益民 李挺 郭小平 汪瑞芳 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2011年第7期1602-1610,共9页
The effect of structure,elastic modulus and thickness of lower modulus layer in porous titanium implants on the stress distribution at the implant-bone interface was investigated.Three-dimensional finite element model... The effect of structure,elastic modulus and thickness of lower modulus layer in porous titanium implants on the stress distribution at the implant-bone interface was investigated.Three-dimensional finite element models of different titanium implants were constructed.The structures of the implants included the whole lower modulus style (No.1),bio-mimetic style (No.2),the whole lower modulus style in cancellous bone (No.3) and the whole dense style No.4.The stress distributions at bone-implant interface under static loading were analyzed using Ansys Workbench 10.0 software.The results indicated that the distribution of interface stress is strongly depended on the structure of the implants.The maximum stresses in cancellous bone and root region of implant No.2 are lower than those in the other three implants.A decrease in the modulus of the low modulus layer facilitates the interface stress transferring.Increasing the thickness of the low modulus layer can reduce the stress and induce a more uniform stress distribution at the interface.Among the four implants,biomimetic style implant No.2 is superior in transferring implant-bone interface stress to surrounding bones. 展开更多
关键词 titanium implant elastic modulus finite element analysis porous structure
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三角函数值域(最值)求法探秘 被引量:3
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作者 戴洪彬 《乌鲁木齐成人教育学院学报》 2003年第2期82-85,共4页
三角函数的值域(最值)往往与代数、三角、几何等知识相联系,综合性强.文章通过横向联系,纵向比较,给出几种求三角函数值域(最值)的方法,指出了学生在解三角函数值域(最值)的一些误区.
关键词 三角函数 值域 有量性 误区
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ENERGY-EFFICIENT HEURISTIC METRIC FOR SCP IN SENSOR NETWORKS
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作者 黄如 朱杰 徐光辉 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2008年第1期51-60,共10页
A heuristic metric is presented to achieve the optimal connected set covering problem (SCP) in sensor networks. The coverage solution with the energy efficiency can guarantee that all targets are fully covered. Amon... A heuristic metric is presented to achieve the optimal connected set covering problem (SCP) in sensor networks. The coverage solution with the energy efficiency can guarantee that all targets are fully covered. Among targets, the crucial ones are redundantly covered to ensure more reliable monitors. And the information collected by the above coverage solution can be transmitted to Sink by the connected data-gathering structure. A novel ant colony optimization (ACO) algorithm--improved-MMAS-ACS-hybrid algorithm (IMAH) is adopted to achieve the above metric. Based on the design of the heuristic factor, artificial ants can adaptively detect the coverage and energy status of sensor networks and find the low-energy-cost paths to keep the communication connectivity to Sink. By introducing the pheromone-judgment-factor and the evaluation function to the pheromone updating rule, the pheromone trail on the global-best solution is enhanced, while avoiding the premature stagnation. Finally, the energy efficiency set can be obtained with high coverage-efficiency to all targets and reliable connectivity to Sink and the lifetime of the connected coverage set is prolonged. 展开更多
关键词 sensor networks energy efficiency set covering problem (SCP) CONNECTIVITY ant colony optimization
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The rhizosphere pH change of Pinus koraiensis seedlings as affected by N sources of different levels and its effect on the availability and uptake of Fe, Mn, Cu and Zn
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作者 陈永亮 韩士杰 +1 位作者 周玉梅 程国玲 《Journal of Forestry Research》 SCIE CAS CSCD 2002年第1期37-40,83,共4页
Dark brown forest soil was collected from the upper 20 cm soil layer in Changbai Mountain Research Station of Ecosystem, Chinese Academy of Sciences. The soil was amended with two different forms of nitrogen fertilize... Dark brown forest soil was collected from the upper 20 cm soil layer in Changbai Mountain Research Station of Ecosystem, Chinese Academy of Sciences. The soil was amended with two different forms of nitrogen fertilizers: NO3- as Ca(NO3)2, NH4+ as NH4Cl at the concentrations of 50, 100, 200 and 400 mgkg-1 respectively. The experiment was carried out with 2-yr-old Pinus koraiensis seedlings in pot. The pH change of rhizosphere soil and the contents of available Fe, Mn, Cu, and Zn in soil and leaves were analyzed. The result indicated that the addition of NH4--N decreased the rhizosphere pH value, while the addition of NO3--N increased the rhizosphere pH value in contrast with the control treatment. The direction and extent of the pH change mainly depended on N source and its concentrations applied. The rhizosphere pH change had a remarkable influence on the availability of the micronutrients in the rhizosphere, and thereafter affected the nutrient uptake by the seedlings. The contents of available mineral nutrients had a negative correlation with the pH value in the rhizosphere soil. The contents of available mineral nutrients in leaves were positively correlated to the levels of the available nutrients in the rhizosphere soils. 展开更多
关键词 Rhizosphere pH N sources MICRONUTRIENT AVAILABILITY UPTAKE
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Theoretical prediction of effective elastic constants for new intermetallic compound porous material 被引量:2
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作者 苏淑兰 饶秋华 贺跃辉 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第4期1090-1097,共8页
Based on microstructure analysis of the new Ti-A1 intermetallic compound porous material, a micromechanics model of heterogeneous Plateau porous structure was established and calculation formulas of elastic constants ... Based on microstructure analysis of the new Ti-A1 intermetallic compound porous material, a micromechanics model of heterogeneous Plateau porous structure was established and calculation formulas of elastic constants (including effective elastic modulus, effective shear elastic modulus and effective Poisson ratio) were derived by the energy method for this porous material. Calculation results show that both the effective elastic modulus and effective shear elastic modulus increase with the increase of the relative density while the effective Poisson ratio decreases. Compared with the currently-existing hexagonal honeycomb model and micromechanics model of composite materials, the micromechanics model of heterogeneous Plateau porous structure in this study is more suitable for characterizing the medium-density porous material and more accurate for predicting the effective elastic constants of the medium-density porous material. Moreover, the obtained explicit expressions of the effective elastic constants in term of the relative density rather than the microstructural parameters for the uniform and regular Plateau porous structure are more convenient to engineering application. 展开更多
关键词 intermetallic compound porous material effective elastic modulus Plateau structure energy method
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Three-dimensional arbitrarily anisotropic modeling for time-domain airborne electromagnetic surveys 被引量:3
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作者 黄威 贲放 +5 位作者 殷长春 孟庆敏 李文杰 廖桂香 吴珊 西永在 《Applied Geophysics》 SCIE CSCD 2017年第3期431-440,462,共11页
Electrically anisotropic strata are abundant in nature, so their study can help our data interpretation and our understanding of the processes of geodynamics. However, current data processing generally assumes isotrop... Electrically anisotropic strata are abundant in nature, so their study can help our data interpretation and our understanding of the processes of geodynamics. However, current data processing generally assumes isotropic conditions when surveying anisotropic structures, which may cause discrepancies between reality and electromagnetic data interpretation. Moreover, the anisotropic interpretation of the time-domain airborne electromagnetic (TDAEM) method is still confined to one dimensional (1D) cases, and the corresponding three-dimensional (3D) numerical simulations are still in development. In this study, we expanded the 3D TDAEM modeling of arbitrarily anisotropic media. First, through coordinate rotation of isotropic conductivity, we obtained the conductivity tensor of an arbitrary anisotropic rock. Next, we incorporated this into Maxwell's equations, using a regular hexahedral grid of vector finite elements to subdivide the solution area. A direct solver software package provided the solution for the sparse linear equations that resulted. Analytical solutions were used to verify the accuracy and feasibility of the algorithm. The proven model was then applied to analyze the effects of arbitrary anisotropy in 3D TDAEM via the distribution of responses and amplitude changes, which revealed that different anisotropy situations strongly affected the responses of TDAEM. 展开更多
关键词 Three-dimensional time-domain airborne electromagnetic arbitrary anisotropy vector finite element
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Effective Mass of Strong-Coupling Bound Polaron in a Triangular Quantum Well Induced by Rashba Effect 被引量:17
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作者 ZHANG Hai-Rui XIAO Jing-Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第10期995-998,共4页
In this paper, on the basis of Huybrechts' strong-coupling polaron model, the Tokuda modified linearcombination operator method and the unitary transformation method are used to study the properties of the strongcoup... In this paper, on the basis of Huybrechts' strong-coupling polaron model, the Tokuda modified linearcombination operator method and the unitary transformation method are used to study the properties of the strongcoupling bound polaron considering the influence of Rashba effect, which is brought by the spin-orbit (SO) interaction, in the semiconductor triangular quantum well (TQW). Numerical calculation on the RbCI TQW, as the example, is performed. The expressions for the effective mass of the polaron as a function of the vibration frequency, the velocity, the Coulomb bound potential and the electron areal density are derived. Numerical results show that the total effective mass of the polaron is composed of three parts. The interactions between the orbit and the spin with different directions have different effects on the effective mass of the bound polaron. 展开更多
关键词 triangular quantum well SPINTRONICS effective mass Rashba SO interaction
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Symmetries and Mei Conserved Quantities of Nonholonomic Controllable Mechanical Systems 被引量:5
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作者 XIA Li-Li LI Yuan-Cheng WANG Jing HOU Qi-Bao 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第3X期415-418,共4页
This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantity. The criterions of the Mei symmetry, the Noether symmetry and the Lie symmetry are given. The con... This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantity. The criterions of the Mei symmetry, the Noether symmetry and the Lie symmetry are given. The conditions and the forms of the Mei conserved quantities deduced from these three symmetries are obtained. An example is given to illustrate the application of the result. 展开更多
关键词 control nonholonomic mechanical system Mei symmetry Noether symmetry Lie symmetry conserved quantity
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Is a split-dose regimen of 2 L polyethylene glycol plus ascorbic acid tolerable for colonoscopy in an early morning visit to a comprehensive medical check-up? 被引量:2
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作者 Ji Yeon Seo Changhyun Lee +7 位作者 Eun Hyo Jin Mi Hyun Yun Joo Hyun Lim Hae Yeon Kang Jong In Yang Su Jin Chung Sun Young Yang Joo Sung Kim 《World Journal of Gastroenterology》 SCIE CAS 2017年第6期1030-1037,共8页
To evaluate the effectiveness and tolerability of a split-dose 2 L polyethylene glycol (PEG)/ascorbic acid (AA) regimen for healthy examinees who visited for comprehensive medical check-up in the early morning.METHODS... To evaluate the effectiveness and tolerability of a split-dose 2 L polyethylene glycol (PEG)/ascorbic acid (AA) regimen for healthy examinees who visited for comprehensive medical check-up in the early morning.METHODSFrom February 2015 to March 2015, examinees of average risk who were scheduled for a colonoscopy in the morning were retrospectively enrolled.RESULTSThe 189 examinees were divided into split-dose and non-split-dose groups. The adequacy of bowel preparation for the split-dose group vs the non-split-dose group was 96.8% vs 85.2%, respectively, P < 0.001, and the compliance of the last meal restriction was 74.6% vs 58.2%, respectively, P < 0.001. The sleep disturbance (P < 0.001) was more prevalent in the split-dose group, however the willingness to repeat the same preparation method (P = 0.243) was not different in both groups. The split-dose regimen was the most important factor influencing adequate bowel preparation in multivariate analysis (HR = 10.89, 95%CI: 6.53-18.17, P < 0.001).CONCLUSIONA split-dose regimen of 2 L PEG/AA for an early morning colonoscopy was more effective and showed better compliance for diet restriction without any difference in satisfaction and discomfort. Introducing a split-dose regimen of 2 L PEG/AA to morning colonoscopy examinees is effective and tolerable in a comprehensive medical check-up setting. 展开更多
关键词 Compliance Early morning colonoscopy Effectiveness Split-dose regimen Tolerability
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Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev's Type Constraints 被引量:3
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作者 XIA Li-Li LI Yuan-Cheng HOU Qi-Bao WANG Jing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第4X期683-686,共4页
Based on the total time derivative along the trajectory of the system, the unified symmetry of nonholonomic mechanical system with non-Chetaev's type constraints is studied. The definition and criterion of the unifie... Based on the total time derivative along the trajectory of the system, the unified symmetry of nonholonomic mechanical system with non-Chetaev's type constraints is studied. The definition and criterion of the unified symmetry of nonholonomic mechanical systems with non-Ohetaev's type constraints are given. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. Two examples are given to illustrate the application of the results. 展开更多
关键词 nonholonomic mechanical system of non-Chetaev's type unified symmetry conserved quantity
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The Effects of Estuarine Processes on the Fluxes of Inorganic and Organic Carbon in the Yellow River Estuary 被引量:5
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作者 GU Dianjun ZHANG LongJun JIANG Liqing 《Journal of Ocean University of China》 SCIE CAS 2009年第4期352-358,共7页
Riverine carbon flux is an important component of the global carbon cycle. The spatial and temporal variations of organic and inorganic carbon were examined during both dry and wet seasons in the Yellow River estuary.... Riverine carbon flux is an important component of the global carbon cycle. The spatial and temporal variations of organic and inorganic carbon were examined during both dry and wet seasons in the Yellow River estuary. Concentrations of dissolved organic carbon (DOC) and dissolved inorganic carbon (DIC) in the Yellow River during dry seasons were higher than those during wet seasons. The effective concentrations of DOC (CDOC*) were higher than the observed DOC at zero salinity. This input of DOC in the Yellow River estuary was due to sediment desorption processes in low salinity regions. In contrast to DOC, the effective concen- trations of DIC were 10% lower than the DIC measured at freshwater end, and the loss of DIC was caused by CaCO3 precipitation in low salinity region, Particulate organic carbon (POC) and particulate inorganic carbon (PIC) contents of the particles stabilized to constant values (0.5%:t:0.05% and 1.8%--0.2%, respectively) within the turbidity maximum zone (TMZ) and showed no noticeable seasonal variations. A rapid drop of PIC and rise of POC occurred simultaneously outside the TMZ due to an intense dilution of riv- erine inorganic-rich particles being transported into a pool of aquatic organic-poor particles outside the TMZ. Annually, the Yellow River transported 6.95× 10^5 t of DIC, 0.64× 10^5 t of DOC, 78.58× 10^5 t of PIC and 2.29× 10^5 t of POC to the sea. 展开更多
关键词 particulate organic carbon particulate inorganic carbon dissolved organic carbon dissolved inorganic carbon Yellow River estuary
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Lie Symmetry and Conserved Quantities for Nonholonomic Vacco Dynamical Systems 被引量:3
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作者 DING Ning FANG Jian-Hui 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第2X期265-268,共4页
In this paper the Lie symmetry and conserved quantities for nonholonomic Vacco dynamical systems are studied. The determining equation of the Lie symmetry for the system is given. The general Hojman conserved quantity... In this paper the Lie symmetry and conserved quantities for nonholonomic Vacco dynamical systems are studied. The determining equation of the Lie symmetry for the system is given. The general Hojman conserved quantity and the Lutzky conserved quantity deduced from the symmetry are obtained. 展开更多
关键词 Vacco dynamical system Lie symmetry general Hojman conserved quantity Lutzky conserved quantity
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A Unified Symmetry of Mechanical Systems with Variable Mass in Phase Space
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作者 WANG Peng FANG Jian-Hui ZHANG Peng-Yu, DING Ning 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第3X期385-388,共4页
In this paper, the definition and the criterion of a unified symmetry of the mechanical system with variable mass in phase space are given. The Noether conserved quantity, the generalized Hojman conserved quantity, an... In this paper, the definition and the criterion of a unified symmetry of the mechanical system with variable mass in phase space are given. The Noether conserved quantity, the generalized Hojman conserved quantity, and Mei conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results. 展开更多
关键词 phase space variable mass system unified symmetry conserved quantity
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On Effectiveness of Protocol Creating Maximum Entanglement of Two Charge-Phase Qubits by Cavity Field
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作者 LI Chong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5X期935-942,共8页
We revisit the protocols to create maximally entangled states between two Josephson junction (33) charge phase qubits coupled to a microwave field in a cavity as a quantum data bus. We analyze a novel mechanism of q... We revisit the protocols to create maximally entangled states between two Josephson junction (33) charge phase qubits coupled to a microwave field in a cavity as a quantum data bus. We analyze a novel mechanism of quantum decoherence due to the adiabatic entanglement between qubits and the data bus, the off-resonance microwave field. We show that even if the variable of the data bus can be adiabatically eliminated, the entanglement between the qubits and data bus remains and can decohere the superposition of two-particle state. Fortunately we can construct a decoherencefree subspace of two-dimension to against this adiabatic decoherence. To carry out the analytic study for this decoherence problem, we develop Frohlich transformation to re-derive the effective Hamiltonian of these systems, which is equivalent to that obtained from the adiabatic elimination approach. 展开更多
关键词 SQUID quantum entanglement conccurrence decoherence free sub-space
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Loading System for Full-Scale Heavy-Duty Support Node Test with Multi-Directional Loading Requirements 被引量:3
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作者 王玉银 龚超 +1 位作者 张素梅 郭海山 《Transactions of Tianjin University》 EI CAS 2011年第3期166-174,共9页
This paper presents the design, analysis and experimental study of a loading system for heavy-duty nodes test based on a large-scale multi-directional in-plane loading device, which has been used in a full-scale heavy... This paper presents the design, analysis and experimental study of a loading system for heavy-duty nodes test based on a large-scale multi-directional in-plane loading device, which has been used in a full-scale heavy-duty support node test. Test loads of the support reached 6 567 kN with multi-directional loading requirements, which outrange the capacity of the available loading devices. Through the reinforcement of a large-scale multi-directional inplane loading device, the innovative design of a self-balanced load transferring device, and other arrangement considerations of the loading system, the test was implemented and the loading capacity of the ring was considerably enlarged. Due to the heavy loading requirements, some checking computations of the ring and the load transferring device outranged the limit of the Chinese national code "Code for Design of Steel Structures (GB 50017—2003)", thus elastic-plastic finite element (FE) analysis was carried out on the two devices, and also the real-time monitoring on the whole loading systems during experiments to ensure test safety. FE analysis and test results show that the loading system worked elastically during experiments. 展开更多
关键词 loading system self-balanced design multi-directional loading heavy-duty node
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Surface effects on large deflection of nanowires
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作者 杨帆 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第6期2060-2065,共6页
Surface effects play an important role in the mechanical behavior of nanosized structural elements owing to the increased ratio of surface area to volume. The surface effects on the large deflection of nanowires were ... Surface effects play an important role in the mechanical behavior of nanosized structural elements owing to the increased ratio of surface area to volume. The surface effects on the large deflection of nanowires were considered. Both geometric nonlinearity in finite deformation and surface effects at nanoscale were taken into account to analyze the bending of nanowires subjected to a concentrated force. For simply supported beams and clamped-clamped beams, the influence of surface effects and geometric nonlinearity were discussed in detail. It is found that both surface effects and geometric nonlinearity tend to decrease the deflection of bending nanowires and thus increase the effective elastic modulus of nanowires. Surface effects yield the size dependent behavior of nanowires. 展开更多
关键词 geometric nonlinearity NANOWIRES BENDING NANOWIRES BENDING surface effect
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The Quantum Consistency of the Ten-Dimensional Heterotic String Effective Action
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作者 Simon Davis 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第5期857-862,共6页
The finiteness of superstring theory at each order in perturbation theory is considered with respect to the ten-dimensional effective action. The quantum consistency of the ten-dimensional superstring effective action... The finiteness of superstring theory at each order in perturbation theory is considered with respect to the ten-dimensional effective action. The quantum consistency of the ten-dimensional superstring effective action is confirmed with an analysis of the perturbative expansion of the quartic sector. It is found to be compatible with the finiteness of reduced four-dimensional theory. Furthermore, implications for the validity of superstring perturbation theory at lower energies is considered. 展开更多
关键词 effective action gauge potential RENORMALIZABILITY
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