The homogenization problem of linearly piezoelectric fibrous composites with a periodic microstructure is formulated by adopting the free- and complementary-energy minimum principles, as well as the hashin-shtrikman principles. The auxiliary electroelastic problems involved in the hashin-shtrikman principles are solved by a transformation from the space domain to the fourier domain. Approximations of those variational principles, suitable for numerical computations, are built up by adopting the fourier-series method and the finite-element method. In this way, rigorous upper and lower bounds on the overall material moduli are obtained. An example is presented, in order to show the effectiveness of the proposed approximation techniques and to compare them.

Bisegna, P., Luciano, R. (1997). On methods for bounding the overall properties of periodic piezoelectric fibrous composites. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 45(8), 1329-1356 [10.1016/S0022-5096(96)00116-0].

On methods for bounding the overall properties of periodic piezoelectric fibrous composites

BISEGNA, PAOLO;
1997-01-01

Abstract

The homogenization problem of linearly piezoelectric fibrous composites with a periodic microstructure is formulated by adopting the free- and complementary-energy minimum principles, as well as the hashin-shtrikman principles. The auxiliary electroelastic problems involved in the hashin-shtrikman principles are solved by a transformation from the space domain to the fourier domain. Approximations of those variational principles, suitable for numerical computations, are built up by adopting the fourier-series method and the finite-element method. In this way, rigorous upper and lower bounds on the overall material moduli are obtained. An example is presented, in order to show the effectiveness of the proposed approximation techniques and to compare them.
1997
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Con Impact Factor ISI
voids and inclusions; piezoelectric material; fibre-reinforced composite material; energy method; finite elements; homogenization
Bisegna, P., Luciano, R. (1997). On methods for bounding the overall properties of periodic piezoelectric fibrous composites. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 45(8), 1329-1356 [10.1016/S0022-5096(96)00116-0].
Bisegna, P; Luciano, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/23557
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