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Computers & Structures / Computers and Structures; Computer and Structures (2006) 21
Extension of the Euler–Bernoulli model of piezoelectric laminates to include 3D effects via a mixed approach
Corrado Maurini 1, Joël Pouget 1, Francesco Dell'Isola ( ) 2, 3
(2006)

In this paper a coupled Euler–Bernoulli model of laminated piezoelectric beams is proposed. It is characterized by accounting for the influence of 3D distribution of mechanical stresses and strains through corrected electromechanical constitutive equations. In particular, the hypothesis of vanishing transverse (width direction) normal stress typical of standard beam models is weakened by imposing vanishing stress resultants. This integral condition is enforced by adopting a mixed variational principle and Lagrange multiplier method. Explicit expressions for the beam constitutive coefficients are given and the sandwich and bimorph piezoelectric benders are studied in details. The model is assessed through comparisons with standard models and 3D finite element results, showing an important enhancement of standard beam theories.
1:  Institut Jean Le Rond d'Alembert (IJLRA)
CNRS : UMR7190 – Université Paris VI - Pierre et Marie Curie
2:  Dipartimento di Ingegneria Strutturale e Geotecnica
Universita di Roma "La Sapienza"
3:  Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
Cisterna di Latina
Engineering Sciences/Mechanics
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