Relationships between the effective properties of transversely isotropic piezoelectric composites

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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 languageEnglish
Pages (from-to)473-479
Number of pages7
JournalJournal of the Mechanics and Physics of Solids
Volume40
Issue number2
DOIs
StatePublished - 1 Jan 1992

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