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 language | English (US) |
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Pages (from-to) | 439-451 |
Number of pages | 13 |
Journal | Philosophical Magazine Letters |
Volume | 89 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2009 |
Keywords
- Composites
- Effective moduli
- Micromechanics
- Superspherical and cuboidal inhomogeneities
ASJC Scopus subject areas
- Condensed Matter Physics