Composites with superspherical inhomogeneities

R. Hashemi, R. Avazmohammadi, H. M. Shodja, G. J. Weng

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

In contrast to the traditional study of composites containing ellipsoidal inclusions, we highlight some calculated results for the effective moduli when the inclusion shape can be described by the superspherical equation, [image omitted], such that when p = 2 it reduces to a sphere and when p it becomes a perfect cube. We consider the cases of both aligned and randomly oriented superspherical inclusions with isotropic, cubic, and transversely isotropic properties, and show how the shape parameter, p, affects the overall moduli of the composites during the spherical to cuboidal transition.

Original languageEnglish (US)
Pages (from-to)439-451
Number of pages13
JournalPhilosophical Magazine Letters
Volume89
Issue number7
DOIs
StatePublished - Jul 2009

Keywords

  • Composites
  • Effective moduli
  • Micromechanics
  • Superspherical and cuboidal inhomogeneities

ASJC Scopus subject areas

  • Condensed Matter Physics

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