Alternating-current relaxation of a rotating metallic particle

Based on a first-principles approach,we establish an alternating-current(AC) relaxation theory for a rotating metallic particle with complex dielectric constant ε_α=ε_α-iσ_α/ω_0.Here εα is the real part,σ_α the conductivity,ω_0 the angular frequency of an AC electric field,and i=-1~(1/2).Our theory yields an accurate interparticle force,which is in good agreement with the existing experiment.The agreement helps to show that the relaxations of two kinds of charges,namely,surface polarized charges(described by ε_α) and free charges(corresponding to σ_α),contribute to the unusually large reduction in the attracting interparticle force.This theory can be adopted to determine the relaxation time of dynamic particles in various fields.     

Elastic properties of spherically anisotropic piezoelectric composites

Effective elastic properties of spherically anisotropic piezoelectric composites, whose spherically anisotropic piezo-electric inclusions are embedded in an infinite non-piezoelectric matrix, are theoretically investigated. Analytical solutions for the elastic displacements and the electric potentials under a uniform external strain are derived exactly. Taking into account of the coupling effects of elasticity, permittivity and piezoelectricity, the formula is derived for estimating the effective elastic properties based on the average field theory in the dilute limit. An elastic response mechanism is revealed, in which the effective elastic properties increase as inclusion piezoelectric properties increase and inclusion dielectric properties decrease. Moreover, a piezoelectric response mechanism, of which the effective piezoelectric response vanishes due to the symmetry of spherically anisotropic composite, is also disclosed.     

A THEORETICAL APPROACH TO THERMAL PROPERTY OF ARRAY OF CYLINDERS EMBEDDED IN HOMOGENEOUS MATRIX

We investigate in this article the thermal conductivity of array of cylinders embedded in a homogeneous matrix. Using Green's function, we confirm that the method invented by Rayleigh can be generalized to deal with thermal property of these systems. A technique for calculating effective thermal conductivities of these systems is proposed. As an example, we consider a system with square symmetry, and a neat formula for effective thermal conductivity is derived. We show that the method also includes the proof of Keller theorem.     

NEW METHOD FOR EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS WITH PERIODIC MICROSTRUCTURES

1IntroductionTherheologyofcolloidaldispersionisofinterestinmanyphsicalandtechnologicalproblems,andforthisreasonithasbeenstudiedextensively,expeciallywhenthesystemcallI)edescribedbythelillearNavier-StokesequationsforincompressibleNewtonianfiuicl[1--6J.ColIoidaldispersioncanbesubdividedintotwoclasses,namely,suspensionandemulsi.I,[7'8].Asuspensionisadispersionwithfinerigidparticlessuspendedinafluid.Inanemulsion,pallidparticlesareimmersedinanotherfluid.Animportantprobleminthisfieldistodeters-f…     

多孔和复合媒质直流电导率的计算方法(Ⅱ)——应用于各向同性和各向异性复合材料

本文系统地讨论了复合媒质直流电导率的第一性原理计算方法,导出了计算定域各向异性的复合材料的有效电导率的积分方程,提出了计算有效电导率张量的简便方法。我们计算了定域各向异性材料的有效电导率张量。还发展了计算无周期性的更一般的复合材料的理论方法。另外,本文提出积分方程近似计算的一种新方法(双基展开法)。该方法可用于对孔隙度大的复杂结构作精确的理论计算,并具有节省计算时间的优点。 关键词：     

含成层杂质的复合媒质的电导性质

本文用瑞利模型研究含成层杂质的复合媒质的直流电导性质,推导了适用于此类复合媒质的广义瑞利恒等式,并定义系统的有效电导率。对于具有立方对称性的系统,给出复合媒质有效电导率的解析计算公式。 关键词：     

超流溶液的本构方程

本文应用Green和Naghdi等人发展起来的现代连续介质力学理论,讨论了超流溶液的宏观描述问题,并建立了超流溶液的本构方程.     

基于曲率多尺度的高精度角点检测

为了提高角点检测的精度,满足算法的稳定性与实时性,提出了一种基于曲率多尺度和局部迭代的亚像素角点检测算法。首先基于Canny算子和自定义边缘跟踪算法检测目标轮廓,然后利用多尺度曲率多项式得到像素级的角点,最后以像素级角点为中心,利用向量正交性原则,采用迭代算法及双线性插值得到子像素级角点。实际测试表明:该方法检测效率高,提取到的角点稳定,精度可以达到0.2pixel,可满足实际应用中的实时、高精度要求,目前已成功地应用于嵌入式机器视觉工业现场。     

TWO-DIMENSIONAL CELLULAR AUTOMATON TRAFFIC MODELWITH RANDOMLY SWITCHING TRAFFIC LIGHTS

I.IntroductionWiththedevelopmentofsocietyandeconomyinmetropolises,thecontradictionbet\"eentheincreaseoftrat'ficflowandtheexistingconditionoftrafticftlcilitiesbecolllesmorealldmore'serious,resultinginaprincipalI'actorofconstrainingthedevelopmentofmetropolititneconomy.Therefore,inrecentdecadesthetrat'l'ictlowproblemhasdrawntheattelltiollofInanyspecialistsinvariousfieldsincludingphysics,mechanicsalldmathelllatics.Alargenumberoftraftic1llodelshavebeenpropes.Inthispaper,thecellularautomaton(CA)tr…     

A theoretical research to effective viscosity of colloidal dispersions

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