Barium titanate particle model inquiry through effective permittivity measurements and boundary integral equation method based simulations of the BaTiO₃ epoxy resin composite material

Abstract

The heterogeneous mixture properties depend on its constituents' characteristics. We examine the effective permittivity of a two-phase composite material made of epoxy resin host matrix and barium titanate (BaTiO3) filler for different volume fractions in the matrix. The task we undertake consists in finding a model of BaTiO3 particles through the computer simulations executed in PHI3D-electric field calculating package, based on the resolution of the Laplace equation using boundary integral equation method. With this aim in view we compare the measured results of the effective permittivity of the BaTiO3–epoxy resin composite samples with the simulation results for different BaTiO3 particle geometric models and for the same experimental conditions, with regard to the given volume fraction of the powder in the matrix. The experimental results are obtained through the measurements with an impedance meter in the range of frequencies from 50 Hz to 1 MHz.

Silicone rubber dielectrics modified by inorganic fillers for outdoor high voltage insulation applications

“…In addition, the effective relative permittivity of the composites has been described by models that assume certain particle shapes and volume fractions. It is also known that ceramics and powders of BaTiO 3 show a different dielectric behaviour [33,34,36]. In an experiment reported by Khastgir and Adachi [37], the relative permittivity of a suspension containing 0.137 volume fraction of BaTiO 3 powder in a polydimethylsiloxane (PDMS) resin and crosslinking agent mixture was measured while the resin crosslinked.…”

Microstructure-based numerical modeling method for effective permittivity of ceramic/polymer composites

“…13, the mixture was modeled with a cubic lattice of aligned cylinders. 13, the mixture was modeled with a cubic lattice of aligned cylinders.…”

Boundary integral equation method in the prediction of dielectric characteristics of humidified composite insulator glass–epoxy core

“…We carried out experimental verification of the BIEM [8], which showed that it permits us to calculate precisely the effective permittivity of composite materials with regularly shaped inclusions periodically distributed in the host matrix. We also applied the BIEM to the inverse problem, where we predicted globally the grain shape of irregular inclusions based on measurements of the effective characteristics of the composite [9]. In this paper we apply the BIEM to the high voltage problem.…”