CORRECTIONS TO THE CONSTITUTIVE EQUATIONS OF PIEZOELECTRIC LAMINATED BEAMS THROUGH A MIXED VARIATIONAL APPROACH

Corrado Maurini (1) , Joël Pouget (1) , Francesco Dell'Isola (2, 3)

1 DALEMBERT - Institut Jean Le Rond d'Alembert
2 Dipartimento di Ingegneria Strutturale e Geotecnica
3 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita

Beam models of piezoelectric laminates derived from three-dimensional theories by assuming either the plain-stress or the plain-strain conditions in the beam axis-thickness plane can introduce significant errors in the estimate of the beam constitutive coefficients. In this paper a coupled Euler-Bernoulli like model including 3D effects through a mixed variational formulation is discussed. We report the results of numerical and experimental tests which validate the approach and show the limit of standard modelling techniques.

Domaines: Mécanique [physics.med-ph]

Corrado Maurini, Joël Pouget, Francesco Dell'Isola. CORRECTIONS TO THE CONSTITUTIVE EQUATIONS OF PIEZOELECTRIC LAMINATED BEAMS THROUGH A MIXED VARIATIONAL APPROACH. II ECCOMAS Thematic Conference on Smart Structures amd Material, 2005, pp.20. ⟨hal-00497097⟩