Relationships between the effective properties of transversely isotropic piezoelectric composites

K. Schulgasser

doi:10.1016/S0022-5096(05)80022-5

Relationships between the effective properties of transversely isotropic piezoelectric composites

K. Schulgasser

Department of Mechanical Engineering

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

79 Scopus citations

Abstract

We consider two-phase fibre-reinforced piezoelectric composites of arbitrary transverse phase geometry wherein both the constitutents and the composite exhibit transverse isotropy. Such a material is described by a total of 10 overall elastic moduli, piezoelectric constants and permittivities. It is shown that five universal relationships which are independent of geometry at given volume fractions connect six of these effective physical constants. The result is a generalization of the relations found by Hill [J. Mech. Phys. Solids 12, 199 (1964)] for the purely elastic case. An additional relationship between three of the other constants is also known to exist.

Original language	English
Pages (from-to)	473-479
Number of pages	7
Journal	Journal of the Mechanics and Physics of Solids
Volume	40
Issue number	2
DOIs	https://doi.org/10.1016/S0022-5096(05)80022-5
State	Published - 1 Jan 1992

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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AB - We consider two-phase fibre-reinforced piezoelectric composites of arbitrary transverse phase geometry wherein both the constitutents and the composite exhibit transverse isotropy. Such a material is described by a total of 10 overall elastic moduli, piezoelectric constants and permittivities. It is shown that five universal relationships which are independent of geometry at given volume fractions connect six of these effective physical constants. The result is a generalization of the relations found by Hill [J. Mech. Phys. Solids 12, 199 (1964)] for the purely elastic case. An additional relationship between three of the other constants is also known to exist.

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Relationships between the effective properties of transversely isotropic piezoelectric composites

Abstract

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