Many models for the flexural and membranal behaviour of piezoelectric plates are available in the literature. They are based on different assumptions concerning the strain, stress, electric and electric-displacement fields inside the plate. A critical comparison among such models is presented here in a completely analytic way, in order to assess the accuracy of the results they provide and determine their range of applicability. The comparison is made by using a class of case-study problems, whose analytical solutions in the framework of the linear theory of piezoelectricity are available, as benchmarks for the solutions supplied by the plate models. The evaluated models are also here rationally derived from the three-dimensional theory of piezoelectricity, and a consistent treatment of the stress and electric-displacement relaxation conditions is proposed. (C) 2001 Elsevier Science Ltd. All rights reserved.

Bisegna, P., Caruso, G. (2001). Evaluation of higher-order theories of piezoelectric plates in bending and in stretching. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 38(48-49), 8805-8830 [10.1016/S0020-7683(01)00079-8].

Evaluation of higher-order theories of piezoelectric plates in bending and in stretching

BISEGNA, PAOLO;
2001-01-01

Abstract

Many models for the flexural and membranal behaviour of piezoelectric plates are available in the literature. They are based on different assumptions concerning the strain, stress, electric and electric-displacement fields inside the plate. A critical comparison among such models is presented here in a completely analytic way, in order to assess the accuracy of the results they provide and determine their range of applicability. The comparison is made by using a class of case-study problems, whose analytical solutions in the framework of the linear theory of piezoelectricity are available, as benchmarks for the solutions supplied by the plate models. The evaluated models are also here rationally derived from the three-dimensional theory of piezoelectricity, and a consistent treatment of the stress and electric-displacement relaxation conditions is proposed. (C) 2001 Elsevier Science Ltd. All rights reserved.
2001
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Con Impact Factor ISI
Higher-order plate theories; internal constraints; piezoeletric plates; relaxation conditions; variational formulations
Bisegna, P., Caruso, G. (2001). Evaluation of higher-order theories of piezoelectric plates in bending and in stretching. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 38(48-49), 8805-8830 [10.1016/S0020-7683(01)00079-8].
Bisegna, P; Caruso, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/23570
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