Transport properties of composites consisting of periodic arrays of exponentially graded cylinders with cylindrically orthotropic materials

Tungyang Chen, Hsin Yi Kuo

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The work is concerned with the determination of effective conductivities and field potentials of matrix-based composites consisting of periodic arrays of cylinders which are cylindrically orthotropic and exponentially graded along the radial direction. We generalize Rayleigh's method to account for the periodic arrangements of these cylinders. The potential field and effective conductivities of composite systems were calculated to a very high order to achieve a sufficient accuracy. We find that the cylindrical orthotropy of the inclusions has a dramatic effect on the potential field of the inclusions. In addition, we discuss the effect of the grading factor on the effective conductivity. Interestingly, we find that when the inclusions are purely cylindrically orthotropic, their effects can be fully described by homogeneous isotropic cylinders. This equivalent isotropic conductivity is simply the geometric mean of the radial and tangential conductivities of cylindrically orthotropic cylinders.

Original languageEnglish
Article number033716
JournalJournal of Applied Physics
Volume98
Issue number3
DOIs
Publication statusPublished - 2005 Aug 1

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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