Modelling and dielectric behavior of ternary composites of epoxy (BaTiO<sub>3</sub>/CaTiO<sub>3</sub>)

Bouzit, Nacerdine; Forniés-Marquina, J.M.; Benhamouda, A.; Bourouba, Nacerdine

doi:10.1051/epjap:2007063

Cited by 19 publications

(13 citation statements)

References 7 publications

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“…The resonance frequency of the composite shifted to the high frequency range with increasing SrTiO 3 volume fraction. The resonance behavior of the composites shows resonant frequencies that are proved in good agreement with the theoretical values calculated by equation (24) proposed in this article. In particular, the modeling of the frequency dispersion behavior of the complex permittivity of ternary composites allows us to predict the phenomenon when the effective permittivity, the resonance frequency, and the volume fraction of SrTiO 3 and carbon black are known.…”

Section: Discussionsupporting

confidence: 88%

“…To extract the complex dielectric permittivity ε * of a sample under test from measurement signals, we adopt the calculation method described in Bourouba et al 23 and Bouzit et al 24 On the other hand, we can develop an expression that gives relation between the input admittance Y in ω , the characteristic admittance Y 0 , and the complex permittivity ε * as follows:…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Study of the relaxation and resonance behaviors of ternary composites: Epoxy–strontium titanate–carbon black

Khouni

Bouzit

2019

Polymers and Polymer Composites

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The principal subject of the present article is the study of the phenomenon of dispersion as well as the effect of the concentration of strontium titanate (SrTiO3) and carbon black on the complex permittivity of ternary composites: epoxy resin–SrTiO3 –black carbon. The relative permittivity of the mixtures as a function of volume fraction of SrTiO3 was modeled by the modified Lichtenecker mixing law (MLL). A new dispersion model, based on the Lorentzian resonance model, has been proposed to describe the frequency behavior of complex permittivity. For these ternary composites, the frequency dispersion behavior of the complex permittivity that exhibits both relaxation and resonance spectra with increasing SrTiO3 concentration has been showed. The new empirical equation proposed in our work has been well describing the complex permittivity of resonance type for the SrTiO3 and carbon black composites. The effects of SrTiO3 content on the electromagnetic properties and absorption characteristics of electromagnetic waves of epoxy resin composites were studied. As the volume fraction of SrTiO3 increases, it was confirmed that the complex permittivity of the composites follows the MLL and the resonant frequency shifted toward the high frequency range. The resonance frequency of the composites was estimated in good agreement with the theoretical values calculated by the second new equation proposed in this article. Complex permittivity is measured using time domain spectroscopy in the frequency range direct current (DC) to 30 GHz.

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Section: Discussionsupporting

confidence: 88%

Section: Methodsmentioning

confidence: 99%

Study of the relaxation and resonance behaviors of ternary composites: Epoxy–strontium titanate–carbon black

Khouni

Bouzit

2019

Polymers and Polymer Composites

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“…The nonlinear regression method (generalized reduced gradient (GRG) Algorithm) fixes this factor to a second order polynomial by virtue of its nonlinear evolution with respect to the volume fractions of each constituent, ensuring a minimum difference between the experimental data and the theoretical values resulting from the effective dielectric permittivity and effective magnetic permeability of the material under investigation as well as an acceptable level of optimization. We attempted to advance the study of multiphase composites in this work by characterizing and investigating the dielectric and magnetic behaviours of these composite materials in one research, since the previous works 19,[21][22][23][24][25][26][27][28][29] only looked at the dielectric behavior. Additionally, the effect of additives (ST/BT, FE/FR) was added to similar multiphase mixtures in order to calculate their contribution and to compare the improvement in dielectric and electrical properties achieved by these additives with different other mixtures.…”

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confidence: 99%

Investigation on Dielectric, Electric, and Magnetic Properties of (Epoxy Resin-Titanate-Oxide/Ferrite) Ternary Composites at Microwave Frequency

Arab

Delfouf

Khouni

et al. 2023

ECS J. Solid State Sci. Technol.

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The RE-ST-FE and RE-BT-FE/FR composites have been prepared and characterized using time domain spectroscopy method in the [DC-12.5] GHz range. The dielectric, magnetic, and electrical properties of the ternary composites have been investigated. In the RE-ST-FE composite, the dielectric permittivity (ε’) has been found to decrease from 9.25 to 3.70 with increase in FE concentration. While it has been observed that the electrical conductivity increases as the ST concentration increases reaching a value of 11.6 (mS / m) and shows a percolation behavior with (Vth = 26,9% ST). In the RE-BT-FE/FR composites, the magnetization hysteresis loops have been measured by vibrating sample magnetometer from -3 to +3 kOe. This has made it possible to have a maximum of saturation magnetization equal 29.3 emu/g and the permeability value close to 1.9 with the RE-BT-FR composite which is considered higher than that of the other one. It was found that an increase in the (FE/FR) concentration increases the magnetic permeability, which is confirmed by the modified Lichtenecker law with error ratio less than 0.5%. The results of this study will undoubtedly yield new materials that can be used to miniaturize electronic components used in telecommunications systems, resonators, antennas and wave absorbers.

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“…For instance, in our case of study, this experimental process has been applied for the determination of the dielectric constant ( ) and the static conductivity ( ) in the low frequency range. The basic principle uses the multiple reflections method [10]. The temporal signal being measured displays the TDR response of the dielectric material under test and from which a signal mathematical processing allows us to calculate the coefficient of reflection D( ) by using the following expression:…”

Section: Method's Principlementioning

confidence: 99%

Electromagnetic Characterization of a Composite (RE-CB-MT) by Time Domain Spectroscopy

Bounar

Bouzit

Bourouba

2017

Advances in Materials Science and Engineering

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The aim of this article is to study the dielectric behavior (ε, σ) in microwaves domain of composites made with Epoxy Resin (RE), Carbon Black (CB), and Magnesium Titanate (MT) on a large band of frequency. This kind of composites is very solicited for applications and miniaturization of the components circuits (cavities, antennas, substrates, etc.) in hyperfrequency electronics. In this study we have also highlighted the effect of the fillers nature and their concentrations on the behavior of these composites. The results obtained by time domain spectroscopy (TDS) have revealed the strong dependence of complex permittivity of the composite materials on both the nature and the concentration of conductive environment. Low frequency analysis (500 MHz) has been investigated to determine the conductivity of composites which is related to the percolation phenomenon. Moreover, the comparison between experimental results and theoretical models shows that the modeling Lichtenecker law is applicable to the ternary mixture in this frequency range and is in accordance with the approach postulated by Bottreau.

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Modelling and dielectric behavior of ternary composites of epoxy (BaTiO₃/CaTiO₃)

Cited by 19 publications

References 7 publications

Study of the relaxation and resonance behaviors of ternary composites: Epoxy–strontium titanate–carbon black

Study of the relaxation and resonance behaviors of ternary composites: Epoxy–strontium titanate–carbon black

Investigation on Dielectric, Electric, and Magnetic Properties of (Epoxy Resin-Titanate-Oxide/Ferrite) Ternary Composites at Microwave Frequency

Electromagnetic Characterization of a Composite (RE-CB-MT) by Time Domain Spectroscopy

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Modelling and dielectric behavior of ternary composites of epoxy (BaTiO3/CaTiO3)

Cited by 19 publications

References 7 publications

Study of the relaxation and resonance behaviors of ternary composites: Epoxy–strontium titanate–carbon black

Study of the relaxation and resonance behaviors of ternary composites: Epoxy–strontium titanate–carbon black

Investigation on Dielectric, Electric, and Magnetic Properties of (Epoxy Resin-Titanate-Oxide/Ferrite) Ternary Composites at Microwave Frequency

Electromagnetic Characterization of a Composite (RE-CB-MT) by Time Domain Spectroscopy

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Modelling and dielectric behavior of ternary composites of epoxy (BaTiO₃/CaTiO₃)