Almansi type boundary conditions for electrical potential inducing flexure in linear piezoelectric beams

Using the recent results found in [1, 2] we prove that it is possible to induce flexure in linear piezoelectric beams by means of quadratic Almansi type boundary conditions for the electric potential. Beams constituted by transversely isotropic piezoelectric materials whose symmetry axis is parallel to the axis of the beam are considered. Our choice of boundary conditions for the electric potential has been suggested by the results found in [1, 3]. An explicit expression of material parameters that influence flexure is given in terms of piezoelectric moduli.