Bounds on the effective moduli of cracked materials

L. V. Gibiansky; S. Torquato

doi:10.1016/0022-5096(95)00072-0

Bounds on the effective moduli of cracked materials

L. V. Gibiansky, S. Torquato

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

33 Scopus citations

Abstract

We find bounds on the effective elastic moduli of cracked materials in terms of the effective conductivity of such media. These represent the first non-trivial bounds on the effective properties of cracked media which are independent of the shapes and spatial distribution of the cracks. Different approximations for the elastic moduli of cracked media are tested against our bounds. The microgeometries of cracks that satisfy the bounds exactly are identified.

Original language	English (US)
Pages (from-to)	233-242
Number of pages	10
Journal	Journal of the Mechanics and Physics of Solids
Volume	44
Issue number	2
DOIs	https://doi.org/10.1016/0022-5096(95)00072-0
State	Published - Feb 1996

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/0022-5096(95)00072-0

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abstract = "We find bounds on the effective elastic moduli of cracked materials in terms of the effective conductivity of such media. These represent the first non-trivial bounds on the effective properties of cracked media which are independent of the shapes and spatial distribution of the cracks. Different approximations for the elastic moduli of cracked media are tested against our bounds. The microgeometries of cracks that satisfy the bounds exactly are identified.",

author = "Gibiansky, {L. V.} and S. Torquato",

note = "Funding Information: We are gratefutl o M. Kachanovfo r helpful discussions. We gratefully acknowledge the support of the Air Force Office of Scientific Research under Grant No. F49620-92-J-0501a nd of the Department of Energy under Grant No. DEFGOZ-92ER14275.",

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AU - Gibiansky, L. V.

AU - Torquato, S.

N1 - Funding Information: We are gratefutl o M. Kachanovfo r helpful discussions. We gratefully acknowledge the support of the Air Force Office of Scientific Research under Grant No. F49620-92-J-0501a nd of the Department of Energy under Grant No. DEFGOZ-92ER14275.

PY - 1996/2

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N2 - We find bounds on the effective elastic moduli of cracked materials in terms of the effective conductivity of such media. These represent the first non-trivial bounds on the effective properties of cracked media which are independent of the shapes and spatial distribution of the cracks. Different approximations for the elastic moduli of cracked media are tested against our bounds. The microgeometries of cracks that satisfy the bounds exactly are identified.

AB - We find bounds on the effective elastic moduli of cracked materials in terms of the effective conductivity of such media. These represent the first non-trivial bounds on the effective properties of cracked media which are independent of the shapes and spatial distribution of the cracks. Different approximations for the elastic moduli of cracked media are tested against our bounds. The microgeometries of cracks that satisfy the bounds exactly are identified.

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JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

IS - 2

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Bounds on the effective moduli of cracked materials

Abstract

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