A theory of piezoelectric laminates

Paolo Bisegna

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1997)

  • Volume: 8, Issue: 2, page 137-165
  • ISSN: 1120-6330

Abstract

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A theory of piezoelectric laminates is rationally derived from the three-dimensional Voigt theory of piezoelectricity. The present theory is a generalization to piezoelectric laminates of the Reissner-Mindlin-type layer-wise theory of elastic laminates. Both a differential formulation and a variational formulation of the piezoelectric laminate problem are presented. The proposed theory is adopted in the analysis of simple problems, in order to verify its effectiveness. The results it provides turn out to be in good agreement with the results supplied by the Voigt theory of piezoelectricity.

How to cite

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Bisegna, Paolo. "Una teoria di piastra laminata piezoelettrica." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 8.2 (1997): 137-165. <http://eudml.org/doc/244322>.

@article{Bisegna1997,
abstract = {È presentato un modello di piastra laminata piezoelettrica, dedotto razionalmente dalla teoria tridimensionale della piezoelettricità di Voigt. Si tratta di un'estensione ai laminati piezoelettrici della teoria di laminato elastico detta «alla Reissner-Mindlin». Le equazioni che governano il problema del laminato piezoelettrico sono fornite sia in forma differenziale che in forma variazionale. Il modello proposto è utilizzato nell'analisi di alcuni semplici problemi, allo scopo di saggiarne l'affidabilità. I risultati da esso forniti risultano in soddisfacente accordo con quelli ottenuti tramite l'applicazione della teoria della piezoelettricità di Voigt.},
author = {Bisegna, Paolo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Piezoelectric laminates; Piezoelectric materials; Intelligent structures; intelligent structures; three-dimensional Voigt theory; Reissner-Mindlin-type layer-wise theory; differential formulation; variational formulation},
language = {ita},
month = {7},
number = {2},
pages = {137-165},
publisher = {Accademia Nazionale dei Lincei},
title = {Una teoria di piastra laminata piezoelettrica},
url = {http://eudml.org/doc/244322},
volume = {8},
year = {1997},
}

TY - JOUR
AU - Bisegna, Paolo
TI - Una teoria di piastra laminata piezoelettrica
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1997/7//
PB - Accademia Nazionale dei Lincei
VL - 8
IS - 2
SP - 137
EP - 165
AB - È presentato un modello di piastra laminata piezoelettrica, dedotto razionalmente dalla teoria tridimensionale della piezoelettricità di Voigt. Si tratta di un'estensione ai laminati piezoelettrici della teoria di laminato elastico detta «alla Reissner-Mindlin». Le equazioni che governano il problema del laminato piezoelettrico sono fornite sia in forma differenziale che in forma variazionale. Il modello proposto è utilizzato nell'analisi di alcuni semplici problemi, allo scopo di saggiarne l'affidabilità. I risultati da esso forniti risultano in soddisfacente accordo con quelli ottenuti tramite l'applicazione della teoria della piezoelettricità di Voigt.
LA - ita
KW - Piezoelectric laminates; Piezoelectric materials; Intelligent structures; intelligent structures; three-dimensional Voigt theory; Reissner-Mindlin-type layer-wise theory; differential formulation; variational formulation
UR - http://eudml.org/doc/244322
ER -

References

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