Effective conductivity of composites of graded spherical particles

  • Yu K
  • Gu G
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Abstract

We have employed the first-principles approach to compute the effective response of composites of graded spherical particles of arbitrary conductivity profiles. We solve the boundary-value problem for the polarizability of the graded particles and obtain the dipole moment as well as the multipole moments. We provide a rigorous proof of an ad hoc approximate method based on the differential effective multipole moment approximation (DEMMA) in which the differential effective dipole approximation (DEDA) is a special case. The method will be applied to an exactly solvable graded profile. We show that DEDA and DEMMA are indeed exact for graded spherical particles. © 2005 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Graded composites
  • Multipolar polarizability

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Authors

  • K. W. Yu

  • G. Q. Gu

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