1. Dielectric response of graded composites having general power-law-graded cylindrical inclusions.
- Author
-
En-Bo Wei and Y. M. Poon
- Subjects
- *
DIELECTRICS , *METALLIC composites , *ELECTRIC fields , *ELECTROMAGNETIC fields , *ELECTRIC insulators & insulation , *FIELD theory (Physics) - Abstract
The dielectric response of graded composites having general power-law-graded cylindrical inclusions under a uniform applied electric field is investigated. The dielectric profile of the cylindrical inclusions is modeled by the equation [variant_greek_epsilon]i(r)=c(b+r)k (where r is the radius of the cylindrical inclusions and c, b and k are parameters). Analytical solutions for the local electrical potentials are derived in terms of hypergeometric functions and the effective dielectric response of the graded composites is predicted in the dilute limit. Moreover, for a simple power-law dielectric profile [variant_greek_epsilon]i(r)=crk and a linear dielectric profile [variant_greek_epsilon]i(r)=c(b+r), analytical expressions of the electrical potentials and the effective dielectric response are derived exactly from our results by taking the limits b→0 and k→1, respectively. For a higher concentration of inclusions, the effective dielectric response is estimated by an effective-medium approximation. In addition, we have discussed the effective response of graded cylindrical composites with a more complex dielectric profile of inclusion, [variant_greek_epsilon]i(r)=c(b+r)keβr. [ABSTRACT FROM AUTHOR]
- Published
- 2005
- Full Text
- View/download PDF