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

TL;DR

This paper demonstrates that quadratic Almansi-type boundary conditions on electric potential can induce flexure in linear piezoelectric beams made of transversely isotropic materials, with explicit relations for material parameters involved.

Contribution

It introduces a novel boundary condition approach for inducing flexure in piezoelectric beams and provides explicit expressions linking material parameters to flexural behavior.

Findings

Flexure can be induced via Almansi-type boundary conditions.

Explicit relations between material parameters and flexure are derived.

The method applies to transversely isotropic piezoelectric beams.

Abstract

Using the recent results found in [1, 2] we prove that it is possible to induce flexur 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 influenc flexur is given in terms of piezoelectric moduli.