A Second-Order Solution of Saint-Venant's Problem for a Piezoelectric Circular Bar Using Signorini's Perturbation Method

Romesh C. Batra (1) , Francesco Dell'Isola (2, 3) , Stefano Vidoli (3)

1 Department of Engineering Science and Mechanics
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 Dipartimento di Ingegneria Strutturale e Geotecnica

We study electromechanical deformations of a homogeneous transversely isotropic piezoelectric prismatic circular bar loaded only at the end faces. The constitutive relations for the material of the bar are taken to be quadratic in the displacement gradients and the electric field. It is found that the two end faces of the bar when twisted with no electric charge applied to them will exhibit a difference in the electric potential. Thus the piezoelectric cylinder could be used to measure the torque or the angular twist.

Domaines: Mécanique [physics.med-ph]

Romesh C. Batra, Francesco Dell'Isola, Stefano Vidoli. A Second-Order Solution of Saint-Venant's Problem for a Piezoelectric Circular Bar Using Signorini's Perturbation Method. Journal of Elasticity, 1998, pp.16. ⟨hal-00498069⟩