In this paper a theory of thin piezoelectric plates is obtained through a rational derivation from the three-dimensional linear theory of piezoelectricity. The coupling between the electric and mechanical fields is taken into account, leading to a consistent definition of the bending and stretching stiffnesses. In particular, it is shown that a piezoelectric plate has a different stretching stiffness when it is used as an actuator or as a sensor. The procedure used to derive the field equations governing the piezoelectric plate problem is based on the initial functions method, in conjunction with a rescaling of the applied loads. The field equations are then rewritten in a variational form, according to a generalized statement of the virtual work principle, in order to deduce the compatible boundary conditions. The theory established here is used to find closed-form expressions of the solutions of some technical problems, involving piezoelectric plates used as sensors or actuators.

Bisegna, P., Maceri, F. (1996). A consistent theory of thin piezoelectric plates. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 7(4), 372-389 [10.1177/1045389X9600700402].

A consistent theory of thin piezoelectric plates

BISEGNA, PAOLO;MACERI, FRANCO
1996-01-01

Abstract

In this paper a theory of thin piezoelectric plates is obtained through a rational derivation from the three-dimensional linear theory of piezoelectricity. The coupling between the electric and mechanical fields is taken into account, leading to a consistent definition of the bending and stretching stiffnesses. In particular, it is shown that a piezoelectric plate has a different stretching stiffness when it is used as an actuator or as a sensor. The procedure used to derive the field equations governing the piezoelectric plate problem is based on the initial functions method, in conjunction with a rescaling of the applied loads. The field equations are then rewritten in a variational form, according to a generalized statement of the virtual work principle, in order to deduce the compatible boundary conditions. The theory established here is used to find closed-form expressions of the solutions of some technical problems, involving piezoelectric plates used as sensors or actuators.
1996
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Con Impact Factor ISI
Actuators; bending (forming); boundary conditions; electric fields; intelligent structures; loads (forces); piezoelectricity; plates (structural components); sensors; stiffness; stretching; three dimensional; bending stiffness; field equations; mechanical fields; stretching stiffness; thin piezoelectric plates; three dimensional linear theory; piezoelectric materials
Bisegna, P., Maceri, F. (1996). A consistent theory of thin piezoelectric plates. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 7(4), 372-389 [10.1177/1045389X9600700402].
Bisegna, P; Maceri, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/23573
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