Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4032
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dc.contributorDepartment of Applied Physics-
dc.contributorMaterials Research Centre-
dc.creatorWei, EBen_US
dc.creatorPoon, YMen_US
dc.date.accessioned2014-12-11T08:22:46Z-
dc.date.available2014-12-11T08:22:46Z-
dc.identifier.issn0021-8979en_US
dc.identifier.urihttp://hdl.handle.net/10397/4032-
dc.language.isoenen_US
dc.publisherAmerican Institute of Physicsen_US
dc.rights© 2005 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in E. B. Wei & Y. M. Poon, J. Appl. Phys. 98, 014104 (2005) and may be found at http://link.aip.org/link/?jap/98/014104.en_US
dc.subjectDielectric materialsen_US
dc.subjectComposite materialsen_US
dc.subjectPermittivityen_US
dc.titleDielectric response of graded composites having general power-law-graded cylindrical inclusionsen_US
dc.typeJournal/Magazine Articleen_US
dc.description.otherinformationAuthor name used in this publication: Y. M. Poonen_US
dc.identifier.spage1en_US
dc.identifier.epage5en_US
dc.identifier.volume98en_US
dc.identifier.issue1en_US
dc.identifier.doi10.1063/1.1947388en_US
dcterms.abstractThe 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 εᵢ(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 εᵢ(r)=crᵏ and a linear dielectric profile εᵢ(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, εᵢ(r)=c(b+r)ᵏeᵝʳ.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationJournal of applied physics, 1 July 2005, v. 98, no. 1, 014104, p. 1-5en_US
dcterms.isPartOfJournal of applied physicsen_US
dcterms.issued2005-07-01-
dc.identifier.isiWOS:000231062200082-
dc.identifier.scopus2-s2.0-22944440988-
dc.identifier.eissn1089-7550en_US
dc.identifier.rosgroupidr25737-
dc.description.ros2005-2006 > Academic research: refereed > Publication in refereed journal-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberOA_IR/PIRAen_US
dc.description.pubStatusPublisheden_US
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