2005
DOI: 10.1080/001501990910258
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Modeling Permittivity and Tangent Loss in Dielectric Materials Using Finite Element Method and Monte Carlo Simulation

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Cited by 23 publications
(10 citation statements)
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“…The value of the constant ␣ determines the mixing rule, if ␣ = −1 serial mixing, ␣ = 1 parallel mixing, and ␣ = 0 gives logarithmic mixing rule. 26 In Eq. ͑5͒, i Ј, m Ј , Ј, i Љ, m Љ , and Љ are the real and imaginary parts of the permittivity of the filler, matrix, and the composite, respectively.…”
Section: ͑4͒mentioning
confidence: 96%
See 1 more Smart Citation
“…The value of the constant ␣ determines the mixing rule, if ␣ = −1 serial mixing, ␣ = 1 parallel mixing, and ␣ = 0 gives logarithmic mixing rule. 26 In Eq. ͑5͒, i Ј, m Ј , Ј, i Љ, m Љ , and Љ are the real and imaginary parts of the permittivity of the filler, matrix, and the composite, respectively.…”
Section: ͑4͒mentioning
confidence: 96%
“…The number of theoretical models available for predicting loss tangent is relatively less, as it is more complicated. 25 The following relations are used to model dielectric loss tangent of the composites: general mixing model, 26,27 …”
mentioning
confidence: 99%
“…The modeling permittivity of the leftmost plot in Figure 3(a) is exactly the parallel connection, and it has the highest permittivity. The rightmost plot in Figure 3(a) can be considered as the circular inclusion in the former 2-D model [9], and it has relatively low permittivity among this set of model. However even with the right most figure, electric field can still find its path to minimized the influence from MgO.…”
Section: Resultsmentioning
confidence: 99%
“…Computer simulation using finite element method has taken advantage of the rapid growing computer technology. Previously, a 2-D Model of dielectric properties of two materials mixture has been reported using finite element method coupling Monte-Carlo simulation [9]. With further modification, the program is applied in 3-D. Simulation of mixtures of ferroelectric Pb 0.2 Sr 0.8 TiO 3 (PST) with a non ferroelectric MgO is performed, and compared to the experimental results reported by Somiya et al [10].…”
Section: Introductionmentioning
confidence: 99%
“…The number of theoretical models available for predicting loss tangent is relatively less, as they are more complicated [43]. The following relations are used to model dielectric loss tangent of the composites:general mixing model [20,44] …”
Section: Dielectric Propertiesmentioning
confidence: 99%