Conductivities of dilute suspensions of graded fibers

Gu, Guoqing; Yu, K. W.

doi:10.1063/1.1598301

Cited by 52 publications

(40 citation statements)

References 18 publications

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“…In these situations, the local dielectric coefficient should be tensorial. Thus, for a better understanding of the dielectric-anisotropy effect, it is necessary to generalize our previous isotropic gradation models [19,[110][111][112] accordingly.…”

Section: Composites Of Graded Particles With Dielectric Anisotropymentioning

confidence: 99%

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Enhanced nonlinear optical responses of materials: Composite effects

2006

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We review recent theoretical progress in understanding physical processes of composite effects on enhanced third-order nonlinear optical responses of various kinds of the recently-proposed nonlinear optical materials, namely, colloidal nanocrystals with inhomogeneous metallodielectric particles or a graded-index host, metallic films with inhomogeneous microstructures adjusted by ion doping or temperature gradient, composites with compositional gradation or graded particles, and magneto-controlled ferrofluidbased nonlinear optical materials.

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Section: Composites Of Graded Particles With Dielectric Anisotropymentioning

confidence: 99%

“…The traditional theories used to deal with the homogeneous materials [109], however fail to deal with composites of graded inclusions directly. To treat these composites, we have recently developed a first-principles approach [19,40,110] and a differential effective dipole theory (Section 2.4) [40,111].…”

Section: Composite Media Of Graded Spherical Particlesmentioning

confidence: 99%

Enhanced nonlinear optical responses of materials: Composite effects

2006

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“…[3][4][5][6][7][8] Recently, a lot of methods were developed to predict the effective properties of graded granular composites. For instance, in the dilute limit, Gu and Yu 9 exactly derived the effective conductivities of the graded cylindrical composites having power-law, linear or exponential grading profiles on the inclusions. Based on hypergeometrical functions, Wei et al 10,11 studied the effective ac permittivity of graded spherical colloidal suspensions and the effective dc permittivity of graded nonlinear cylindrical composites having inclusions with a power-law dielectric grading profile in the dilute limit.…”

Section: Introductionmentioning

confidence: 99%

Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes

Wei

Poon

2008

Phys. Rev. B

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The transformation field method ͑TFM͒ originated from Eshelby's transformation field theory is developed to estimate the effective permittivity of an anisotropic graded granular composite having inclusions of arbitrary shape and arbitrary anisotropic grading profile. The complicated boundary-value problem of the anisotropic graded composite is solved by introducing an appropriate transformation field within the whole composite region. As an example, the effective dielectric response for an anisotropic graded composite with inclusions having arbitrary geometrical shape and arbitrary grading profile is formulated. The validity of TFM is tested by comparing our results with the exact solution of an isotropic graded composite having inclusions with a power-law dielectric grading profile and good agreement is achieved in the dilute limit. Furthermore, it is found that the inclusion shape and the parameters of the grading profile can have profound effect on the effective permittivity at high concentrations of the inclusions. It is pointed out that TFM used in this paper can be further extended to investigate the effective elastic, thermal, and electroelastic properties of anisotropic graded granular composite materials.

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“…Already, some researchers have investigated the electrical, thermal, and mechanical properties of some graded composites. [12][13][14][15][16][17][18] However, there are few theoretical works on the effective coupling properties of graded piezoelectric composites as they usually only focused on homogenous piezoelectric composites. 1-6 Also, it is very difficult to derive exact solutions for the local displacement and electric fields, in general, for graded piezoelectric composites under arbitrary external electric and strain fields.…”

Section: Introductionmentioning

confidence: 99%

Dielectric response of spherically anisotropic graded piezoelectric composites

Wei

Poon

et al. 2007

Journal of Applied Physics

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A graded piezoelectric composite consisting of a spherically anisotropic graded piezoelectric inclusion imbedded in an infinite nonpiezoelectric matrix, with the physical properties of the graded spherical inclusion having a power-law profile with respect to the radial variable r, is studied theoretically. Under an external uniform electric field, the electric displacement field and the elastic stress tensor field of this spherically anisotropic graded piezoelectric composite are derived exactly by means of displacement separation technique, based on the governing equations in the dilute limit. A piezoelectric response mechanism, in which the effective piezoelectric response vanishes along the z direction ͑or x,y directions͒, is revealed in this kind of graded piezoelectric composites. Furthermore, it is found that the effective dielectric constant decreases ͑or increases͒ with the volume fraction p of the inclusions if the exponent parameter k of the grading profile is larger ͑or smaller͒ than a critical value.

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Conductivities of dilute suspensions of graded fibers

Cited by 52 publications

References 18 publications

Enhanced nonlinear optical responses of materials: Composite effects

Enhanced nonlinear optical responses of materials: Composite effects

Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes

Dielectric response of spherically anisotropic graded piezoelectric composites

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