Abstract
Low dielectric constant materials play a key role in modern electronics. In this regard, hollow particle reinforced polymer matrix composites called syntactic foams may be useful due to their low and tailored dielectric constant. In the current study, vinyl ester matrix/glass hollow particle syntactic foams are analyzed to understand the effect of hollow particle wall thickness and volume fraction on the dielectric constant of syntactic foams. The dielectric constant is found to decrease with increase in the hollow particle volume fraction and decrease in the wall thickness. Theoretical estimates are obtained for the dielectric constant of syntactic foams. Parametric studies are conducted using the theoretical model. It is found that a wide range of syntactic foam compositions can be tailored to have the same dielectric constant, which provides possibility of independently tailoring density and other properties based on the requirement of the application.
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Abbreviations
- Φ :
-
Volume fraction (subscripts m: matrix, g: glass, a: air, p: matrix porosity, mb: glass microballoon)
- \( \varepsilon \) :
-
Dielectric constant (subscripts 0: vacuum)
- η :
-
Radius ratio of hollow particle
- \( r_{\text{i}} \), \( r_{\text{o}} \) :
-
Inner and outer radii of hollow particle
- w :
-
Wall thickness of hollow particle
- r e :
-
Radius of surrounding medium
- \( \rho^{\text{th}} \), \( \rho^{\exp } \) :
-
Theoretical and experimental densities of syntactic foams
- Z :
-
Impedance
- R :
-
Resistance
- X c :
-
Reactance
- \( \phi \) :
-
Phase angle
- f :
-
Frequency
- C :
-
Capacitance
- t :
-
Thickness of specimen
- A :
-
Contact area
- Ψ :
-
Electrical potential
- ε e :
-
Dielectric constant of surrounding medium
- a n , b n , D n , E n , G n , H n , I n , and J n :
-
Constants
- P n (cosθ):
-
Legendre polynomial
- r :
-
Radial distance
- \( \delta_{m,n} \) :
-
Kronecker delta
- K, L, and S :
-
Constants
- \( e_{0} \) :
-
External applied field
- α :
-
Polarization parameter
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Acknowledgements
The work is supported by the Office of Naval Research grant N00014-10-1-0988 with Dr. Yapa D.S. Rajapakse as the program manager. The authors thank the Department of Mechanical and Aerospace Engineering for providing facilities and support. Mohammed Omar is thanked for help in specimen preparation. Youngsu Cha and Linfeng Shen are thanked for helping with the experiment.
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Shunmugasamy, V.C., Pinisetty, D. & Gupta, N. Electrical properties of hollow glass particle filled vinyl ester matrix syntactic foams. J Mater Sci 49, 180–190 (2014). https://doi.org/10.1007/s10853-013-7691-0
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DOI: https://doi.org/10.1007/s10853-013-7691-0