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Level-shifted embedded cluster method may offer a viable alternative for the simulation of metal oxides
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作者 Zi-Jian Zhou Xin-Ping Wu 《Chinese Journal of Structural Chemistry》 2025年第5期1-2,共2页
The use of metal oxides has been extensively documented in the literature and applied in a variety of contexts,including but not limited to energy storage,chemical sensors,and biomedical applications.One of the most s... The use of metal oxides has been extensively documented in the literature and applied in a variety of contexts,including but not limited to energy storage,chemical sensors,and biomedical applications.One of the most significant applications of metal oxides is heterogeneous catalysis,which represents a pivotal technology in industrial production on a global scale.Catalysts serve as the primary enabling agents for chemical reactions,and among the plethora of catalysts,metal oxides including magnesium oxide(MgO),ceria(CeO_(2))and titania(TiO_(2)),have been identified to be particularly effective in catalyzing a variety of reactions[1].Theoretical calculations based on density functional theory(DFT)and a multitude of other quantum chemistry methods have proven invaluable in elucidating the mechanisms of metal-oxide-catalyzed reactions,thereby facilitating the design of high-performance catalysts[2]. 展开更多
关键词 chemical reactionsand industrial production heterogeneous catalysiswhich metal oxides energy storagechemical biomedical applicationsone level shifted embedded cluster method catalystsmetal oxides
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High-pressure phonon dispersion of copper by using the modified analytic embedded atom method 被引量:2
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作者 张晓军 陈长乐 凤飞龙 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第9期520-524,共5页
By using the Born-von Kfirmfin theory of lattice dynamics and the modified analytic embedded atom method, we reproduce the experimental results of the phonon dispersion in fcc metal Cu at zero pressure along three hig... By using the Born-von Kfirmfin theory of lattice dynamics and the modified analytic embedded atom method, we reproduce the experimental results of the phonon dispersion in fcc metal Cu at zero pressure along three high symmetry directions and four oft-symmetry directions, and then simulate the phonon dispersion curves of Cu at high pressures of 50, 100, and 150 GPa. The results show that the shapes of dispersion curves at high pressures are very similar to that at zero pressure. All the vibration frequencies of Cu in all vibration branches at high pressures are larger than the results at zero pressure, and increase correspondingly as pressure reaches 50, 100, and 150 GPa sequentially. Moreover, on the basis of phonon dispersion, we calculate the values of specific heat of Cu at different pressures. The prediction of thermodynamic quantities lays a significant foundation for guiding and judging experiments of thermodynamic properties of solids under high pressures. 展开更多
关键词 phonon dispersion high pressure SIMULATION modified analytic embedded atom method
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AN EMBEDDED BOUNDARY METHOD FOR ELLIPTIC AND PARABOLIC PROBLEMS WITH INTERFACES AND APPLICATION TO MULTI-MATERIAL SYSTEMS WITH PHASE TRANSITIONS 被引量:1
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作者 Shuqiang Wang Roman Samulyak Tongfei Guo 《Acta Mathematica Scientia》 SCIE CSCD 2010年第2期499-521,共23页
The embedded boundary method for solving elliptic and parabolic problems in geometrically complex domains using Cartesian meshes by Johansen and Colella (1998, J. Comput. Phys. 147, 60) has been extended for ellipti... The embedded boundary method for solving elliptic and parabolic problems in geometrically complex domains using Cartesian meshes by Johansen and Colella (1998, J. Comput. Phys. 147, 60) has been extended for elliptic and parabolic problems with interior boundaries or interfaces of discontinuities of material properties or solutions. Second order accuracy is achieved in space and time for both stationary and moving interface problems. The method is conservative for elliptic and parabolic problems with fixed interfaces. Based on this method, a front tracking algorithm for the Stefan problem has been developed. The accuracy of the method is measured through comparison with exact solution to a two-dimensional Stefan problem. The algorithm has been used for the study of melting and solidification problems. 展开更多
关键词 embedded boundary method elliptic interface problem front tracking Ste-fan problem
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An IPC-based Prolog design pattern for integrating backward chaining inference into applications or embedded systems 被引量:2
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作者 Li Guoqi Shao Yuanxun +1 位作者 Hong Sheng Liu Bin 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2014年第6期1571-1577,共7页
Prolog is one of the most important candidates to build expert systems and AI-related programs and has potential applications in embedded systems. However, Prolog is not suitable to develop many kinds of components, s... Prolog is one of the most important candidates to build expert systems and AI-related programs and has potential applications in embedded systems. However, Prolog is not suitable to develop many kinds of components, such as data acquisition and task scheduling, which are also crucial. To make the best use of the advantages and bypass the disadvantages, it is attractive to integrate Prolog with programs developed by other languages. In this paper, an IPC-based method is used to integrate backward chaining inference implemented by Prolog into applications or embedded systems. A Prolog design pattern is derived from the method for reuse, whose principle and definition are provided in detail. Additionally, the design pattern is applied to a target system, which is free software, to verify its feasibility. The detailed implementation of the application is given to clarify the design pattern. The design pattern can be further applied to wide range applications and embedded systems and the method described in this paper can also be adopted for other logic programming languages. 展开更多
关键词 Backward chaining inference Design method embedded systems Inference engines Inter-process communication Prolog
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Productivity simulation of hydraulically fractured wells based on hybrid local grid refinement and embedded discrete fracture model
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作者 ZHU Dawei HU Yongle +7 位作者 CUI Mingyue CHEN Yandong LIANG Chong CAI Wenxin HE Yanhui WANG Xiaoyong CHEN Hui LI Xiang 《Petroleum Exploration and Development》 2020年第2期365-373,共9页
Using current Embedded Discrete Fracture Models(EDFM) to predict the productivity of fractured wells has some drawbacks, such as not supporting corner grid, low precision in the near wellbore zone, and disregarding th... Using current Embedded Discrete Fracture Models(EDFM) to predict the productivity of fractured wells has some drawbacks, such as not supporting corner grid, low precision in the near wellbore zone, and disregarding the heterogeneity of conductivity brought by non-uniform sand concentration. An EDFM is developed based on the corner grid, which enables high efficient calculation of the transmissibility between the embedded fractures and matrix grids, and calculation of the permeability of each polygon in the embedded fractures by the lattice data of the artificial fracture aperture. On this basis, a coupling method of local grid refinement(LGR) and embedded discrete fracture model is designed, which is verified by comparing the calculation results with the Discrete Fracture Network(DFN) method and fitting the actual production data of the first hydraulically fractured well in Iraq. By using this method and orthogonal experimental design, the optimization of the parameters of the first multi-stage fractured horizontal well in the same block is completed. The results show the proposed method has theoretical and practical significance for improving the adaptability of EDFM and the accuracy of productivity prediction of fractured wells, and enables the coupling of fracture modeling and numerical productivity simulation at reservoir scale. 展开更多
关键词 hydraulic fracturing grid refinement embedded discrete fracture method reservoir numerical simulation productivity prediction parameters optimization
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A review on applications of holomorphic embedding methods
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作者 Kaiyang Huang Kai Sun 《iEnergy》 2023年第4期264-274,共11页
The holomorphic embedding method(HEM)stands as a mathematical technique renowned for its favorable convergence properties when resolving algebraic systems involving complex variables.The key idea behind the HEM is to ... The holomorphic embedding method(HEM)stands as a mathematical technique renowned for its favorable convergence properties when resolving algebraic systems involving complex variables.The key idea behind the HEM is to convert the task of solving complex algebraic equations into a series expansion involving one or multiple embedded complex variables.This transformation empowers the utilization of complex analysis tools to tackle the original problem effectively.Since the 2010s,the HEM has been applied to steady-state and dynamic problems in power systems and has shown superior convergence and robustness compared to traditional numerical methods.This paper provides a comprehensive review on the diverse applications of the HEM and its variants reported by the literature in the past decade.The paper discusses both the strengths and limitations of these HEMs and provides guidelines for practical applications.It also outlines the challenges and potential directions for future research in this field. 展开更多
关键词 Holomorphic embedding method power flow polynomial solutions nonlinear algebraic equations differential equations
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Molecular Dynamics Study of Tension Process of Ni-Based Superalloy 被引量:3
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作者 Hui Li Wan Du Yi Liu 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2020年第5期741-750,共10页
To understand the atomistic mechanisms of tension failure of Ni-based superalloy,in this study,the classical molecular dynamics(MD)simulations were used to study the uniaxial tension processes of both the Ni/Ni3 Al in... To understand the atomistic mechanisms of tension failure of Ni-based superalloy,in this study,the classical molecular dynamics(MD)simulations were used to study the uniaxial tension processes of both the Ni/Ni3 Al interface systems and the pure Ni and Ni3 Al systems.To examine the effects of interatomic potentials,we adopted embedded atom method(EAM)and reactive force field(ReaxFF)in the MD simulations.The results of EAM simulations showed that the amorphous structures and voids formed near the interface,facilitating further crack propagation within Ni matrix.The EAM potentials also predicted that dislocations were generated and annihilated alternatively,leading to the oscillation of yielding stress during the tension process.The ReaxFF simulations predicted more amorphous formation and larger tensile strength.The atomistic understanding of the defect initiation and propagation during tension process may help to develop the strengthening strategy for controlling the defect evolution under loading. 展开更多
关键词 Ni-based superalloy Molecular dynamics embedded atom method(EAM) Reactive force field(ReaxFF) Uniaxial tension
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Recursive weighted least squares estimation algorithm based on minimum model error principle 被引量:2
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作者 雷晓云 张志安 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第2期545-558,共14页
Kalman filter is commonly used in data filtering and parameters estimation of nonlinear system,such as projectile's trajectory estimation and control.While there is a drawback that the prior error covariance matri... Kalman filter is commonly used in data filtering and parameters estimation of nonlinear system,such as projectile's trajectory estimation and control.While there is a drawback that the prior error covariance matrix and filter parameters are difficult to be determined,which may result in filtering divergence.As to the problem that the accuracy of state estimation for nonlinear ballistic model strongly depends on its mathematical model,we improve the weighted least squares method(WLSM)with minimum model error principle.Invariant embedding method is adopted to solve the cost function including the model error.With the knowledge of measurement data and measurement error covariance matrix,we use gradient descent algorithm to determine the weighting matrix of model error.The uncertainty and linearization error of model are recursively estimated by the proposed method,thus achieving an online filtering estimation of the observations.Simulation results indicate that the proposed recursive estimation algorithm is insensitive to initial conditions and of good robustness. 展开更多
关键词 Minimum model error Weighted least squares method State estimation Invariant embedding method Nonlinear recursive estimate
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Application of Compactness Detection to Complicated Concrete-Filled Steel Tube by Ultrasonic Method 被引量:3
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作者 杨建江 王飞 +1 位作者 陆苏亮 王川 《Transactions of Tianjin University》 EI CAS 2014年第2期126-132,共7页
An example of using ultrasonic method to detect the compactness of complicated concrete-filled steel tube in certain high-rise building was discussed in this study.Because of the particularity of the complicated concr... An example of using ultrasonic method to detect the compactness of complicated concrete-filled steel tube in certain high-rise building was discussed in this study.Because of the particularity of the complicated concrete-filled steel tubular column,the plane detection method and embedded sounding pipe method were adopted in the process of effectively detecting the column.According to the results of the plane detection method and embedded sounding pipe method,the cementing status of steel tube and concrete can be concluded,which cannot be judged by the hammering method in the rectangular steel tube-reinforced concrete. 展开更多
关键词 ultrasonic method concrete-filled steel tube plane detection method embedded sounding pipe method COMPACTNESS
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Molecular dynamics simulation on thermodynamic properties of Pb-Ag alloys 被引量:2
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作者 JIA Guobin,LIU Yuanyuan,YANG Bin,and LIU Dachun National Engineering Laboratory of Vacuum Metallurgy,Kunming University of Science and Technology,Kunming 650093,China 《Rare Metals》 SCIE EI CAS CSCD 2010年第3期323-326,共4页
Molecular dynamics simulation was used to simulate the thermodynamic properties of three binary alloys,Pb-Ag (1:1),Pb-Ag (4:1),and Pb-Ag (9:1).The energy functions,such as excess free energy,cohesive energy,a... Molecular dynamics simulation was used to simulate the thermodynamic properties of three binary alloys,Pb-Ag (1:1),Pb-Ag (4:1),and Pb-Ag (9:1).The energy functions,such as excess free energy,cohesive energy,and formation energy,were calculated.The calculated values agree well with the experimental ones.The atomic interactions were analyzed in macroscopic and microcosmic views and both are consistent well. 展开更多
关键词 molecular dynamics energy function generalized embedded atom method Pb-Ag alloy
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MEAM Potential with Angular Dependence for TiAl 被引量:1
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作者 Xiaodong Ni, Xitao Wang, Guoliang Chen (Physics Department, University of Science and Technology Beijing, Beijing 100083, China State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing, Beijing 100083, China) 《Rare Metals》 SCIE EI CAS CSCD 2001年第1期13-17,共5页
The modified embedded atom method (MEAM) is an empirical extension of the embedded atom method (EAM) that includes angular forces. By fitted to the lattice constants, the cohesive energy, the APE (anti-phase boundary)... The modified embedded atom method (MEAM) is an empirical extension of the embedded atom method (EAM) that includes angular forces. By fitted to the lattice constants, the cohesive energy, the APE (anti-phase boundary) energy, and the vacancy formation energy of TiAl, an accurate MEAM potential is obtained for the TiAl system with L10 structure. The calculation results of the properties of TiAl are in good agreement with experiments and the results of first principle (F.P.) calculations. 展开更多
关键词 embedded atom method TiAl alloy angular dependence potential INTERMETALLICS
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MD simulation of a copper rod under thermal shock 被引量:4
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作者 Rong-Hou Xia Xiao-Geng Tian Ya-Peng Shen 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第4期599-604,共6页
In this paper, thermoelastic problem of onedimensional copper rod under thermal shock is simulated using molecular dynamics method by adopting embedded atom method potential. The rod is on axis x, the left outermost s... In this paper, thermoelastic problem of onedimensional copper rod under thermal shock is simulated using molecular dynamics method by adopting embedded atom method potential. The rod is on axis x, the left outermost surface of which is traction free and the right outermost surface is fixed. Free boundary condition is imposed on the outermost surfaces in direction y and z. The left and right ends of the rod are subjected to hot and cold baths, respectively. Temperature, displacement and stress distributions are obtained along the rod at different moments, which are shown to be limited in the mobile region, indicating that the heat propagation speed is limited rather than infinite. This is consistent with the prediction given by generalized thermoelastic theory. From simulation results we find that the speed of heat conduction is the same as the speed of thermal stress wave. In the present paper, the simulations are conducted using the large-scale atomic/molecular massively parallel simulator and completed visualization software. 展开更多
关键词 embedded atom method potential Molecular dynamics simulation Thermoelastic coupling Thermal stress
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Molecular dynamics simulation on generalized stacking fault energies of FCC metals under preloading stress 被引量:1
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作者 张亮 吕程 +3 位作者 Tieu Kiet 赵星 裴林清 Michal Guillaume 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第8期586-593,共8页
Molecular dynamics(MD) simulations are performed to investigate the effects of stress on generalized stacking fault(GSF) energy of three fcc metals(Cu, Al, and Ni). The simulation model is deformed by uniaxial tension... Molecular dynamics(MD) simulations are performed to investigate the effects of stress on generalized stacking fault(GSF) energy of three fcc metals(Cu, Al, and Ni). The simulation model is deformed by uniaxial tension or compression in each of [111], [11-2], and [1-10] directions, respectively, before shifting the lattice to calculate the GSF curve. Simulation results show that the values of unstable stacking fault energy(γusf), stable stacking fault energy(γsf), and unstable twin fault energy(γutf) of the three elements can change with the preloaded tensile or compressive stress in different directions.The ratio of γsf/γusf, which is related to the energy barrier for full dislocation nucleation, and the ratio of γutf/γusf, which is related to the energy barrier for twinning formation are plotted each as a function of the preloading stress. The results of this study reveal that the stress state can change the energy barrier of defect nucleation in the crystal lattice, and thereby can play an important role in the deformation mechanism of nanocrystalline material. 展开更多
关键词 molecular dynamics embeded atom method generalized stacking fault
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Efficient production optimization for naturally fractured reservoir using EDFM 被引量:1
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作者 Jian-Chun Xu Wen-Xin Zhou Hang-Yu Li 《Petroleum Science》 SCIE EI CAS CSCD 2023年第4期2268-2281,共14页
Naturally fractured reservoirs make important contributions to global oil and gas reserves and production.The modeling and simulation of naturally fractured reservoirs are different from conventional reservoirs as the... Naturally fractured reservoirs make important contributions to global oil and gas reserves and production.The modeling and simulation of naturally fractured reservoirs are different from conventional reservoirs as the existence of natural fractures.To address the development optimization problem of naturally fractured reservoirs,we propose an optimization workflow by coupling the optimization methods with the embedded discrete fracture model(EDFM).Firstly,the effective and superior performance of the workflow is verified based on the conceptual model.The stochastic simplex approximate gradient(StoSAG)algorithm,the ensemble optimization(EnOpt)algorithm,and the particle swarm optimization(PSO)algorithm are implemented for the production optimization of naturally fractured reservoirs based on the improved versions of the Egg model and the PUNQ-S3 model.The results of the two cases demonstrate the effectiveness of this optimization workflow by finding the optimal well controls which yield the maximum net present value(NPV).Compared to the initial well control guess,the final NPV obtained from the production optimization of fractured reservoirs based on all three optimization algorithms is significantly enhanced.Compared with the optimization results of the PSO algorithm,StoSAG and EnOpt have significant advantages in terms of final NPV and computational efficiency.The results also show that fractures have a significant impact on reservoir production.The economic efficiency of fractured reservoir development can be significantly improved by the optimization workflow. 展开更多
关键词 Production optimization Naturally fractured reservoir embedded discrete fracture method StoSAG algorithm PSO algorithm
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Quantum Mechanical Calculations of High-T<sub>c</sub>Fe-Superconductors 被引量:1
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作者 Ronald Columbié-Leyva Ulises Miranda +2 位作者 Alberto López-Vivas Jacques Soullard Ilya G. Kaplan 《Journal of Quantum Information Science》 2021年第2期84-98,共15页
In introduction we presented a short historical survey of the discovery of superconductivity (SC) up to the Fe-based materials that are not superconducting in a pure state. For this type of material, the transition to... In introduction we presented a short historical survey of the discovery of superconductivity (SC) up to the Fe-based materials that are not superconducting in a pure state. For this type of material, the transition to SC state occurs in presence of different dopants. Recently in the Fe-based materials at high pressures, the SC was obtained at room critical temperature. In this paper, we present the results of calculations of the isolated cluster representing infinitum crystal with Rh and Pd as dopants. All calculations are performed with the suite of programs Gaussian 16. The obtained results are compared with our previous results obtained for embedded cluster using Gaussian 09. In the case of embedded cluster our methodology of the Embedded Cluster Method at the MP2 electron correlation level was applied. In the NBO population analysis two main features are revealed: the independence of charge density transfer from the spin density transfer and, the presence of orbitals with electron density but without spin density. This is similar to the Anderson’s spinless holon and confirms our conclusions in previous publications that the possible mechanism for superconductivity can be the RVB mechanism proposed by Anderson for high T<sub>c</sub> superconductivity in cuprates. 展开更多
关键词 SUPERCONDUCTIVITY Fe-Based Superconductors embedded Cluster Method MP2 Method NBO Analysis
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A Novel Data Embedding Method for H.264 Stereo Video Codec with Joint Prediction Scheme
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作者 GAO Minfang,JI Xiaoyong,WANG Yuanqing Department of Electronic Science and Engineering,Nanjing University,Nanjing 210093,Jiangsu,China 《Wuhan University Journal of Natural Sciences》 CAS 2010年第1期51-56,共6页
It is important to reduce data redundancy of stereo video in practical applications. In this paper,first,a data embedding method for stereo video(DEMSV) is investigated by embedding the encoding data into the refere... It is important to reduce data redundancy of stereo video in practical applications. In this paper,first,a data embedding method for stereo video(DEMSV) is investigated by embedding the encoding data into the reference frame to encode stereo video. It can use only one channel to transfer all the video data and the receiver can choose a monocular video decoder or stereo video decoder adaptively. Then,introducing the joint prediction scheme in the coding process of DEMSV,we propose a novel data embedding method for H.264 stereo video codec with joint prediction scheme(DEMSV-JPS) to achieve high coding efficiency. Experimental results show that the proposed method can obtain high peak signal-to-noise ratio(PSNR) and compression ratio(at least 33 dB for the test sequence) . Comparing the testing methods using JPS and without using JPS,we prove that JPS can further improve the objective and visual quality. DEMSV-JPS shows such advantages and will be suitable to applications in real-time environments of stereo-video transmission. 展开更多
关键词 data embedding method H.264 stereo image stereo video joint prediction scheme (JPS)
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Coalescence of heteroclusters Au_(767) and Ag_(767):a molecular-dynamics study
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作者 李国建 王强 +2 位作者 李虎田 王凯 赫冀成 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第9期3343-3349,共7页
This paper studies the coalescence of heteroclusters Au767 and Ag767 by using molecular dynamics with the embedded atom method, where layer atomic energy is employed to describe the potential energy variation of per a... This paper studies the coalescence of heteroclusters Au767 and Ag767 by using molecular dynamics with the embedded atom method, where layer atomic energy is employed to describe the potential energy variation of per atom in different layers along radial direction. The results show that the coalescence is driven by releasing the atomic energy of the coalesced zone. The deformation, which is induced by substitutional and vacancy diffusion during the coalescence, makes the coalesced cluster disorder. If the summation of the thermal energy and the released atomic energy is large enough to keep the disorder state, the clusters form a metastable liquid droplet; otherwise, the clusters coalesce into a solid cluster when the coalesced cluster reaches the equilibrium state, and the coalesced cluster experiences liquid to solid ordering changes during the coalescence of a solid Au767 with a liquid Ag767 and a liquid Au767 with a liquid Ag767. The centre of figure of the cluster system is shifted during the coalescence process, and higher coalescence temperature causes larger shift degree. 展开更多
关键词 molecular dynamics embedded atom method heterocluster COALESCENCE
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A NEW N-BODY POTENTIAL AND ITS APPLICATION
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作者 汤奇恒 王自强 张永伟 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1996年第4期358-367,共10页
Based on the embedded atom method (EAM) proposed by Daw and Baskes and Johnson's model, this paper constructs a new N-body potential for bcc crystal Mo. The procedure of constructing the new N-body potential can b... Based on the embedded atom method (EAM) proposed by Daw and Baskes and Johnson's model, this paper constructs a new N-body potential for bcc crystal Mo. The procedure of constructing the new N-body potential can be applied to other metals. The dislocation emission from a crack tip has been simulated successfully using molecular dynamics method, the result is in good agreement with the elastic solution. 展开更多
关键词 embedded atom method (EAM) N-body potential dislocation emission molecular dynamics
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Atomistic Model of Uranium
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作者 李如松 何彬 张全虎 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2011年第4期405-411,I0003,共8页
The electronic state and potential data of U2 molecules are performed by first principle calculations with B3LYP hybrid exchange-correlation functional, the valence electrons of U atom are treated with the (5s4p3d4f... The electronic state and potential data of U2 molecules are performed by first principle calculations with B3LYP hybrid exchange-correlation functional, the valence electrons of U atom are treated with the (5s4p3d4f)/[3s3p2d2f] contraction basis sets, and the cores are approximated with the relativistic effective core potential. The results show that the ground electronic state is x^9∑g+. The pair potential data are fitted with a Murrell-Sorbie analytical potential function. The U-U embedded atom method (EAM) interatomic potential is determined based on the generalized gradient approximation calculation within the framework of the density functional theory using Perdew-Burke-Ernzerhof exchange-correlation functional at the spin-polarized level. The physical properties, such as the cohesive energy, the lattice constant, the bulk modulus, the shear modulus, the sc/fec relative energy, the hep/fce rela- tive energy, the shear modulus and the monovacaney formation energy are used to evaluate the EAM potential parameters. The U-U pair potential determined by the first principle calculations is in agreement with that defined by the EAM potential parameters. The EAM calculated formation energy of the monovacancy in the fee structure is also found to be in close agreement with DFT calculation. 展开更多
关键词 First principles embedded atom method MULTIPLICITY Molecular dynamics
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The Embedding Method for Nonsmooth Equations
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作者 张建军 王德人 《Advances in Manufacturing》 SCIE CAS 1997年第3期184-190,共7页
In this paper. we present a class of' embedding methods for nonsmooth equations. Under suitable conditions, we Prove that there exists a homotopy solution curve, which is Unique and continuous. We also prove that ... In this paper. we present a class of' embedding methods for nonsmooth equations. Under suitable conditions, we Prove that there exists a homotopy solution curve, which is Unique and continuous. We also prove that the solution curve is singlcvalue-d with respect to the homotopy parameter. Then we construct all efficient algorithm for this class of equations and prove its convcrgcnce. Filially, we apply the algorithm to the nonlinear complementarity problem. The numerical results show that tile algorithm is satisfacotry. 展开更多
关键词 nonsmooth equations embedding method nonlinear complementarity problem Newton method
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