Piezoelectric Relations and the Radial Deformation of a Polarized Spherical Shell

R. A. Toupin (1)

1 NRL - Naval Research Laboratory

The piezoelectric relations and equations of equilibrium for an elastic spherical shell permanently polarized in the radial direction are derived. The solution for the radial displacement corresponding to uniform pressures on the inner and outer surfaces of the shell and a given voltage difference between the surfaces is obtained.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

R. A. Toupin. Piezoelectric Relations and the Radial Deformation of a Polarized Spherical Shell. Journal of the Acoustical Society of America, 1959, 31 (3), pp.315-318. ⟨hal-00853550⟩