Composites with superspherical inhomogeneities

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

doi:10.1080/09500830903019020

Composites with superspherical inhomogeneities

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

Research output: Contribution to journal › Article › peer-review

12 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 language	English (US)
Pages (from-to)	439-451
Number of pages	13
Journal	Philosophical Magazine Letters
Volume	89
Issue number	7
DOIs	https://doi.org/10.1080/09500830903019020
State	Published - Jul 2009

Keywords

Composites
Effective moduli
Micromechanics
Superspherical and cuboidal inhomogeneities

ASJC Scopus subject areas

Condensed Matter Physics

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10.1080/09500830903019020

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title = "Composites with superspherical inhomogeneities",

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.",

keywords = "Composites, Effective moduli, Micromechanics, Superspherical and cuboidal inhomogeneities",

author = "R. Hashemi and R. Avazmohammadi and Shodja, {H. M.} and Weng, {G. J.}",

note = "Funding Information: G.J. Weng was supported by the US National Science Foundation, Division of Civil, Mechanical and Manufacturing Innovation, Mechanics and Structure of Materials Program, under grant No. CMS-0510409.",

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language = "English (US)",

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T1 - Composites with superspherical inhomogeneities

AU - Hashemi, R.

AU - Avazmohammadi, R.

AU - Shodja, H. M.

AU - Weng, G. J.

N1 - Funding Information: G.J. Weng was supported by the US National Science Foundation, Division of Civil, Mechanical and Manufacturing Innovation, Mechanics and Structure of Materials Program, under grant No. CMS-0510409.

PY - 2009/7

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N2 - 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.

AB - 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.

KW - Composites

KW - Effective moduli

KW - Micromechanics

KW - Superspherical and cuboidal inhomogeneities

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JO - Philosophical Magazine Letters

JF - Philosophical Magazine Letters

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Composites with superspherical inhomogeneities

Abstract

Keywords

ASJC Scopus subject areas

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