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有限元法结合渐近边界条件技术求解无界平面静电场问题 被引量:4
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作者 郭飞 马西奎 邱关源 《高压电器》 EI CAS CSCD 北大核心 1997年第2期20-24,共5页
根据二维拉普拉斯方程的通解级数,推导出圆形人工边界上的零阶、一阶和二阶渐近边界条件,并将它们与有限元法结合,使得在求解区域不大情况下的二维静电场计算结果仍保持足够高的精度。同时,这种技术仍然保持了有限元刚度矩阵对称、正定... 根据二维拉普拉斯方程的通解级数,推导出圆形人工边界上的零阶、一阶和二阶渐近边界条件,并将它们与有限元法结合,使得在求解区域不大情况下的二维静电场计算结果仍保持足够高的精度。同时,这种技术仍然保持了有限元刚度矩阵对称、正定和稀疏的性质。将这种方法应用于一个具有解析解的例子,说明了这种方法的正确性和有效性,也说明了在同一人工边界上,高阶的渐近边界条件较之于低阶的渐近边界条件具有更高的精度。最后,采用二阶渐近边界条件计算了一个实例。 展开更多
关键词 静电 二维静电 渐近边条件 有限元法
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无界平面静电场的边界处理方法
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作者 唐艳芳 张碧英 何尚德 《湖南大学学报(自然科学版)》 EI CAS CSCD 1998年第S1期58-61,共4页
研究用有限元法计算无界平面静电场时处理无界边界的方法,并指出了各种方法的应用范围.
关键词 平面静电 有限元法 松弛法 渐近边条件
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Modeling Technology in Finite Element Analysis of Electrostatic Proximity Fuze Problem 被引量:2
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作者 李银林 施聚生 《Journal of Beijing Institute of Technology》 EI CAS 2000年第3期286-290,共5页
In order to analyze the electrostatic field concerned with electrostatic proximity fuze problem using the available finite analysis software package, the technology to model the problem with a scale reduction object a... In order to analyze the electrostatic field concerned with electrostatic proximity fuze problem using the available finite analysis software package, the technology to model the problem with a scale reduction object and boundary was presented. The boundary is determined by the maximum distance the sensor can detect. The object model is obtained by multiplying the terms in Poisson's equation with a scale reduction factor and the real value can be reconstructed with the same reverse process after software calculation. Using the finite element analysis program, the simulation value is close to the theoretical value with a little error. The boundary determination and scale reduction method is suitable to modeling the irregular electrostatic field around air targets, such as airplane, missile and so on, which is based on commonly used personal computer (PC). The technology reduces the calculation and storage cost greatly. 展开更多
关键词 electrostatic proximity fuze finite element analysis boundary condition scale reduction method
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The Bipolar Field-Effect Transistor:V.Bipolar Electrochemical Current Theory(Two-MOS-Gates on Thin-Base)
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作者 揭斌斌 薩支唐 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2008年第4期620-627,共8页
This paper reports the intrinsic-structure DC characteristics computed from the analytical electrochemical current theory of the bipolar field-effect transistor (BiFET) with two identical MOS gates on nanometer-thic... This paper reports the intrinsic-structure DC characteristics computed from the analytical electrochemical current theory of the bipolar field-effect transistor (BiFET) with two identical MOS gates on nanometer-thick pure-base of silicon with no generation-recombination-trapping. Numerical solutions are rapidly obtained for the three potential variables,electrostatic and electron and hole electrochemical potentials,to give the electron and hole surface and volume channel currents,using our cross-link two-route or zig-zag one-route recursive iteration algorithms. Boundary conditions on the three potentials dominantly affect the intrinsic-structure DC characteristics,illustrated by examples covering 20-decades of current (10-22 to 10-2 A/Square at 400cm^2/(V · s) mobility for 1.5nm gate-oxide, and 30nm-thick pure-base). Aside from the domination of carrier space-charge-limited drift current in the strong surface channels,observed in the theory is also the classical drift current saturation due to physical pinch-off of an impure-base volume channel depicted by the 1952 Shockley junction-gate field-effect transistor theory,and its extension to complete cut-off of the pure-base volume channel,due to vanishing carrier screening by the few electron and hole carriers in the pure-base,with Debye length (25mm) much larger than device dimension (25nm). 展开更多
关键词 bipolar field-effect transistor theory recursive iteration electron and hole electrochemical potentials electric potential boundary conditions
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格林方程的新推导
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作者 梁文基 《大学物理》 1997年第8期12-13,共2页
微分几何理论导出了格林方程.
关键词 格林方程 微分几何 静电界
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Ionic Distribution, Electrostatic Potential and Zeta Potential at Electrochemical Interfaces 被引量:3
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作者 于养信 吴建中 高光华 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2004年第5期688-695,共8页
Density functional theory is applied to predicting the structures and electrostatic potentials of planar electrochemical surfaces within the framework of the restricted primitive model where small ions are represented... Density functional theory is applied to predicting the structures and electrostatic potentials of planar electrochemical surfaces within the framework of the restricted primitive model where small ions are represented by charged hard spheres of equal diameter and the solvent is assumed to be a continuous dielectric medium. The hard-sphere contribution to the excess Helmholtz energy functional is evaluated using the modified fundamentalmeasure theory and the electrostatic contribution is obtained from the quadratic functional Taylor expansion using the second-order direct correlation function from the mean-spherical approximation. Numerical results for the ionic density profiles and the mean electrostatic potentials near a planar surface of various charge densities are in excellent agreement with molecular simulations. In contrast to the modified Gouy-Chapman theory, the present density functional theory correctly predicts the second layer formation and charge inversion of charged surfaces as observed in simulations and in experiments. The theory has also been tested with the zeta potentials of positively charged polystyrene particles in aqueous solutions of KBr. Good agreement is achieved between the calculated and experimental results. 展开更多
关键词 density functional theory electric double layer zeta potential polystyrenecolloid
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Some Optical Properties of an Electrostatic Quadra-pole with Circular Concave Electrodes
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作者 Khalil K. Ajeel Bassma H. Hamad 《Journal of Physical Science and Application》 2016年第1期31-35,共5页
In the present work, an ideal Quadra-pole field has been realized by circular concave electrodes with a proper electrode angle The potential distribution in such an electrode system has been analyzed by assuming a sim... In the present work, an ideal Quadra-pole field has been realized by circular concave electrodes with a proper electrode angle The potential distribution in such an electrode system has been analyzed by assuming a simple boundary condition. The effect of the gap angle between the electrodes of the Quadra-pole lens on the optical properties has been studied such as the focal lengths, magnification and the chromatic aberration coefficient in the convergence and divergence planes. 展开更多
关键词 Quadra-polelens circular electrodes chromatic aberration.
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Optimized Ewald sum for electrostatics in molecular self-assembly systems at interfaces 被引量:1
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作者 Cong Pan Zhonghan Hu 《Science China Chemistry》 SCIE EI CAS CSCD 2015年第6期1044-1050,共7页
We extend the recent formulation of the Ewald sum for electrostatics in a two-dimensionally periodic three-dimensional multi- atom layer or two-dimensional single-atom layer system with a rectangular periodic boundary... We extend the recent formulation of the Ewald sum for electrostatics in a two-dimensionally periodic three-dimensional multi- atom layer or two-dimensional single-atom layer system with a rectangular periodic boundary condition (J Chem Theory, Comput, 2014, 10: 534-542) to that with a parallelogrammic periodic boundary condition in general. Following the discussion of an efficient implementation of the formula, we suggest a simple setup of parameters using a relatively smaller screening factor and the associated larger real space cutoff distance to reach an optimized algorithm of an order N computational cost. The connection between the previous application of the Ewald sum to ionic crystal systems and the future application to mo- lecular self-assembly or disassembly systems on solid surfaces or at liquid-liquid interfaces ate illustrated to demonstrate the applicability of the present work to simulate the self-assembly process and to produce dynamical, structural and thermody- namic properties of experimental self-assembly systems of interest. 展开更多
关键词 Ewald summation INTERFACE
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The effect of electric charge on the mechanical properties of graphene
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作者 HAO Peng GAO YuanWen ZHOU YouHe 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2013年第6期1148-1156,共9页
The effect of electric charge on the mechanical properties of graphene under tensile loading is investigated by using molecular dynamics method.A modified atomistic moment method based on the classical electrostatics ... The effect of electric charge on the mechanical properties of graphene under tensile loading is investigated by using molecular dynamics method.A modified atomistic moment method based on the classical electrostatics theory is proposed to obtain the distribution of extra charges induced by an external electric field and net electric charges stored in graphene.The electrostatic interactions between charged atoms are calculated using the coulomb law.The results show that the Young's modulus and the critical fracture stress under uniaxial tension decrease with the increase of electric potential and net charges on graphene.The failure of graphene induced by electric charges is found to be controlled by charge level.The results indicate that the carbon-carbon bonds at the edge of graphene will break first. 展开更多
关键词 charge distribution fracture mechanism electric charge MECHANICS
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