In this paper, variational bounds for the overall properties of periodic heterogeneous media with nonlinear and nonlocal piezoelectric constitutive relationships are obtained. First, elementary bounds are developed by extending to piezoelectric materials the well-known Voigt and Reuss bounds. Then, by generalizing the two Hashin-Shtrikman principles, eight new variational principles are derived and applied to obtain bounds. In fact, the variational principles developed are based on auxiliary electroelastic equilibrium problems, which can be solved by a transformation from the space domain to the Fourier domain. As an application, fibre-reinforced linear piezoelectric composites are considered, and expressions of upper and lower bounds for the overall properties of these composites are developed in closed form.

Bisegna, P., & Luciano, R. (1996). Variational bounds for the overall properties of piezoelectric composites. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 44(4), 583-602 [10.1016/0022-5096(95)00084-4].

Variational bounds for the overall properties of piezoelectric composites

BISEGNA, PAOLO;
1996

Abstract

In this paper, variational bounds for the overall properties of periodic heterogeneous media with nonlinear and nonlocal piezoelectric constitutive relationships are obtained. First, elementary bounds are developed by extending to piezoelectric materials the well-known Voigt and Reuss bounds. Then, by generalizing the two Hashin-Shtrikman principles, eight new variational principles are derived and applied to obtain bounds. In fact, the variational principles developed are based on auxiliary electroelastic equilibrium problems, which can be solved by a transformation from the space domain to the Fourier domain. As an application, fibre-reinforced linear piezoelectric composites are considered, and expressions of upper and lower bounds for the overall properties of these composites are developed in closed form.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - Scienza delle Costruzioni
English
Con Impact Factor ISI
Composite micromechanics; electrostatics; fiber reinforced materials; fourier transforms; mathematical models; variational techniques; hashin-shtrikman principles; variational bounds; voigt and reuss bounds; piezoelectric materials
Bisegna, P., & Luciano, R. (1996). Variational bounds for the overall properties of piezoelectric composites. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 44(4), 583-602 [10.1016/0022-5096(95)00084-4].
Bisegna, P; Luciano, R
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/23555
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