Bounds on the effective elasticity tensor of composites based on two-point correlations

M. Avellaneda; G. W. Milton

Bounds on the effective elasticity tensor of composites based on two-point correlations

M. Avellaneda, G. W. Milton

Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract

Based on recent bounds proposed by Milton and Kohn, we derive inequalities on the effective elasticity tensor of anisotropic two-phase composites which take into account the two-point correlations of the medium. They involve a distribution on the unit sphere which describes quantitatively the anisotropy of the aggregate. The bounds are attained by hierarchical, laminar constructions.

Original language	English (US)
Pages	89-93
Number of pages	5
State	Published - 1988
Event	Composite Material Technology 1989 - Houston, TX, USA Duration: Jan 22 1989 → Jan 25 1989

Other

Other	Composite Material Technology 1989
City	Houston, TX, USA
Period	1/22/89 → 1/25/89

ASJC Scopus subject areas

Geology
Geotechnical Engineering and Engineering Geology

Cite this

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abstract = "Based on recent bounds proposed by Milton and Kohn, we derive inequalities on the effective elasticity tensor of anisotropic two-phase composites which take into account the two-point correlations of the medium. They involve a distribution on the unit sphere which describes quantitatively the anisotropy of the aggregate. The bounds are attained by hierarchical, laminar constructions.",

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AB - Based on recent bounds proposed by Milton and Kohn, we derive inequalities on the effective elasticity tensor of anisotropic two-phase composites which take into account the two-point correlations of the medium. They involve a distribution on the unit sphere which describes quantitatively the anisotropy of the aggregate. The bounds are attained by hierarchical, laminar constructions.

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T2 - Composite Material Technology 1989

Y2 - 22 January 1989 through 25 January 1989

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Bounds on the effective elasticity tensor of composites based on two-point correlations

Abstract

Other

ASJC Scopus subject areas

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