An Analytical Model for the Effective Dielectric Constant of a 0-3-0 Composite

2010 ◽  
Author(s):  
K. A. Cook-Chennault ◽  
S. Banerjee
Keyword(s):  
Dielectric Constant ◽  
Aspect Ratio ◽  
Analytical Model ◽  
Experimental Results ◽  
Effective Dielectric Constant ◽  
The Third ◽  
Third Phase ◽  
Three Phase ◽  
Phase 0 ◽  
Experimental Values

An analytical expression for prediction of the effective dielectric constant of a three phase 0-3-0 ferroelectric composite is presented. The analytical results are verified with the experimental results from Nan et al [1]. We extend the analytical model, so that the influence of the shape of the third phase inclusion, on the effective dielectric constant of the composite, can be investigated. The results indicate that the dielectric constant increases ∼7 times, when the aspect ratio of the conductive inclusion is increased from 1 (sphere) to 10 (spheroid). The analytical predictions compare favorably with the experimental values.

An Analytical Model for the Effective Dielectric Constant of a 0-3-0 Composite

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
S. Banerjee ◽  
K. A. Cook-Chennault
Keyword(s):  
Dielectric Constant ◽  
Aspect Ratio ◽  
Analytical Model ◽  
Effective Dielectric Constant ◽  
Inclusion Particle ◽  
Magnetoelectric Composite ◽  
Third Phase ◽  
Three Phase ◽  
Phase 0 ◽  
Experimental Values

An analytical expression for prediction of the effective dielectric constant of a three phase 0-3-0 ferroelectric composite is presented. The analytical results are verified with the experimental results from Nan et al. (2002, “Three-Phase Magnetoelectric Composite of Piezoelectric Ceramics, Rare-Earth Iron Alloys, and Polymer,” Appl. Phys. Lett., 81(20), p. 3831). The analytical model is extended to include the shape of a third phase inclusion to examine the influence of the shape (of the inclusion) on the effective dielectric constant of the composite. The dielectric constant increases as much as seven times when the aspect ratio of the conducting inclusion particle is increased from 1 (sphere) to 10 (spheroid). A comparison of the analytical predictions with the experimental values, which indicate that the increase in aspect ratio of the inclusions has a significant effect on the overall dielectric constant of the composite.

scholarly journals Characterization of percolation behavior in conductor–dielectric 0-3 composites

2014 ◽  
Vol 04 (04) ◽  
pp. 1450035 ◽  
Author(s):  
Lin Zhang ◽  
Patrick Bass ◽  
Zhi-Min Dang ◽  
Z.-Y. Cheng
Keyword(s):  
Dielectric Constant ◽  
Percolation Threshold ◽  
Frequency Dependence ◽  
Experimental Results ◽  
Effective Dielectric Constant ◽  
Filler Concentration ◽  
Percolation Behavior ◽  
The Matrix ◽  
The Relationship

The equation ε eff ∝ (ϕc - ϕ)-s which shows the relationship between effective dielectric constant (εeff) and the filler concentration (φ), is widely used to determine the percolation behavior and obtain parameters, such as percolation threshold φc and the power constant s in conductor–dielectric composites (CDCs). Six different systems of CDCs were used to check the expression by fitting experimental results. It is found that the equation can fit the experimental results at any frequency. However, it is found that the fitting constants do not reflect the real percolation behavior of the composites. It is found that the dielectric constant is strongly dependent on the frequency, which is mainly due to the fact that the frequency dependence of the dielectric constant for the composites close to φc is almost independent of the matrix.

scholarly journals Эффективная диэлектрическая проницаемость композита с эллипсоидальными включениями в матричной оболочке

2021 ◽  
Vol 47 (18) ◽  
pp. 29
Author(s):  
В.И. Пономаренко ◽  
И.М. Лагунов
Keyword(s):  
Dielectric Constant ◽  
Composite Material ◽  
Direct Contact ◽  
Effective Dielectric Constant ◽  
Conductive Fibers ◽  
Experimental Values

A composite material based on ellipsoidal inclusions distributed in a bonding medium is considered. A formula is obtained for calculating the effective dielectric constant of such a material, taking into account the presence of a layer of a binder on the inclusions, which prevents their direct contact. It is shown that the calculated values of the effective dielectric constant correspond to the experimental values for a composite based on sections of conductive fibers.

scholarly journals Meso Trajectories in the National Innovation System and Their Regulation

2020 ◽  
Author(s):  
Oleg Golichenko
Keyword(s):  
Public Policy ◽  
Innovation System ◽  
Evolutionary Selection ◽  
The Third ◽  
Third Phase ◽  
Three Phase ◽  
Knowledge Rules ◽  
Innovative Behaviour ◽  
Two Phases ◽  
Phase Process

The mesotrajectory is presented as a three-phase process of the development of mesopopulations: emergence (origination), diffusion (acceptance, assimilation and adaptation) and retention of a new rule (innovation). The central category of the NIS, i.e. knowledge, is considered from two positions: as a set of specific rules and as the most critical innovation resource. The proposed methodology also describes the three phases of mesostructure dividing each of them into two series–parallel sub-phases and incorporating them in the design of niches, technological and market ones. The methodology allows specifying the effect of the evolutionary selection and intermittent development of meso-units in the first two phases, as well as the mechanisms of changing the socio-technological regime in the third phase. The study set and analyse policy for creating motivation for innovative behaviour at different phases of the mesotrajectory. The actors’ mesopopulation are represented as carriers of the properties of knowledge-rules-resources. The knowledge of the actor is taking into account not only as a rule but a factor breaking the mesotrajectory. Among other characteristics of mesotrajectory discontinuity, intermittent equilibrium is taken into consideration in the study. The problem of regulating trajectory continuity is analysed in the framework of public policy.

Separation of vanadium(V) using N235 by three-phase system in concentrated HCl media

2017 ◽  
Vol 95 (6) ◽  
pp. 717-722 ◽  
Author(s):  
Chun Shen ◽  
Yimin Zhang ◽  
Jing Huang ◽  
Shenxu Bao ◽  
Xiao Yang ◽  
...  
Keyword(s):  
Organic Phase ◽  
Extraction Efficiency ◽  
Inhibitory Effect ◽  
Phase System ◽  
Phase Form ◽  
The Third ◽  
Third Phase ◽  
Vanadium Extraction ◽  
Three Phase ◽  
Ftir Spectral Analysis

The third phase formed in the process of extracting vanadium in a N235/HCl system was usually regarded as a limit to the throughput of the plant. To have a deep insight on this problem, the formation of the third phase in the extraction of vanadium by tertiary amine N235 in the concentrated HCl system was studied. The optimum parameters of three-phase system extraction were determined, and FTIR analysis was carried out to characterize the structure of extracted complexes and analyze the mechanism of formation and elimination of the third phase. The results showed that vanadium extraction efficiency was 86.5% with 20% v/v N235 and a phase ratio (O:A) of 1:2 in 2 min at 25 °C, though an obvious third phase was found within the experimental HCl concentration range. Cl− is the participant in the process of increasing the vanadium extraction efficiency, whereas H+ has an inhibitory effect on vanadium extraction. Meanwhile, the structure of the extracted complex was confirmed as (R3N)m(HCl)m+x·([Formula: see text])·(H2O)n through a solvation mechanism with molecular association, which was further proved by FTIR spectral analysis. Furthermore, the limited solubility of the ion-extracted complexes in the nonpolar solvent kerosene made the third-phase form. The third phase disappeared when phase modifier (about 5% v/v TBP) was added into the organic phase, as the polarity of the organic phase increased.

scholarly journals Performance Analysis of Signaled Intersections to Improve Safety in Depok Intersection, Depok City

2019 ◽  
Author(s):  
Sony Widyawan ◽  
Darul Prayogo ◽  
Rukman . ◽  
Diajeng Ayu D P ◽  
Abdul Rokhim
Keyword(s):  
Traffic Congestion ◽  
Good Condition ◽  
Phase 3 ◽  
Service Levels ◽  
The Third ◽  
Third Phase ◽  
Three Phase ◽  
Traffic Conflicts ◽  
Traffic Conflict ◽  
Selection Of

Transportation problems are one of the issues faced in Depok, especially at intersections. The problems of traffic congestion and conflict often occur at intersections, especially at Depok intersection in which one of the efforts made to reduce the conflicts is made by managing the intersection. The method used in analyzing intersection performance is the use of calculations at IHCM, while the analysis of traffic conflicts to determine the seriousness of traffic conflicts is to use traffic conflict techniques (TCT) compared to the conflicts. Recommendations are made with a scheme using the selection of 3 phases and 3.5 phases then making a comparison with the third phase and choosing the most appropriate scenario. From the recommendation scheme made using the VISSIM 10 PTV software, the most appropriate scheme is obtained by using three-phase settings. The results of phase 3 simulations are effective in reducing the number of traffic conflicts and service levels are still in good condition.

Transport properties of a three-phase composite material: the square array of coated cylinders

1993 ◽  
Vol 442 (1916) ◽  
pp. 599-620 ◽  
Keyword(s):  
Dielectric Constant ◽  
Outer Radius ◽  
Periodic Array ◽  
Effective Dielectric Constant ◽  
The Core ◽  
Three Phase ◽  
The Matrix ◽  
Poles And Zeros ◽  
Special Points ◽  
Square Array

The analytic properties of the effective dielectric constant of a class of three-phase composite materials are studied. Specifically, we investigate the effective dielectric constant of a periodic array of coated cylinders, as a function of the core dielectric constant ( ϵ c ) and the shell dielectric constant ( ϵ s ), while keeping the matrix dielectric constant ( ϵ b ) fixed. We show that when ϵ s = – ϵ c , the composite has exactly the same effective dielectric constant as a periodic array of solid cylinders with dielectric constant ϵ c and radius equal to the outer radius of the original coated cylinder. We also show that when ϵ s = – 1, the composite has exactly the same effective dielectric constant as a periodic array of solid cylinders with dielectric constant ϵ c , and radius exceeding the shell radius. We explore the location of poles and zeros of the three-phase effective dielectric constant in the ( ϵ s , ϵ c ) plane. The lines ϵ s = – 1 and ϵ s + ϵ c = 0 are loci of essential singularities. We also comment on the behaviour of the effective dielectric constant in the neighbourhood of the two special points ( ϵ s , ϵ c ) = (0,0) and ( ϵ s , ϵ c ) = ( - 1 , + 1 ).

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