Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/9454
Title: Effective properties of graded elliptical cylindrical composites
Authors: Wei, EB
Gu, GQ
Poon, YM
Keywords: Effective response
Graded elliptical cylindrical composites
Hyper-geometric function
Issue Date: 2007
Publisher: Elsevier Science Bv
Source: Physica b : condensed matter, 2007, v. 392, no. 1-2, p. 327-331 How to cite?
Journal: Physica B: Condensed Matter 
Abstract: The effective property has been investigated theoretically in graded elliptical cylindrical composites consisting of inhomogeneous graded elliptical cylinders and an isotropic matrix under external uniform electric field. As a theoretical model, the dielectric gradient profile in the elliptical cylinder is modeled by a power-law function of short semi-axis variable parameter (ξ2 - 1) in the elliptical cylindrical coordinates, namely ε{lunate}i (ξ) = ck (ξ2 - 1)k, where ck and k are the parameters, and ξ is the long semi-axis space variable in an elliptical cylindrical inclusion region. In the dilute limit, the local analytical potentials in inclusion and matrix regions are derived exactly by means of the hyper-geometric function, and the formulas are given for estimating the effective dielectric responses under the external field along over(x, ^)- and over(y, ^)-directions, respectively. Furthermore, we have demonstrated that our effective response formulas can be reduced to the well-known results of homogeneous isotropic elliptical cylindrical composites if we take the limit k → 0 in graded elliptical cylindrical composites.
URI: http://hdl.handle.net/10397/9454
DOI: 10.1016/j.physb.2006.11.039
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