Flexoelectric deformation of a homogeneously polarized ball

TL;DR

This paper investigates the elastic strains caused by the flexoelectric effect in a uniformly polarized isotropic dielectric ball, highlighting the non-classical boundary conditions introduced by flexoelectricity.

Contribution

It provides an analytical solution for the elastic strains in a homogeneously polarized dielectric sphere considering the unique boundary conditions due to flexoelectricity.

Findings

Elastic strains are induced by flexoelectricity in the polarized ball.

Flexoelectric boundary conditions differ from classical elastic boundary conditions.

The solution advances understanding of flexoelectric effects in isotropic dielectrics.

Abstract

The problem of finding the elastic strains arising due to the converse flexoelectric effect is solved for a case of uniformly polarized ball of isotropic dielectric material. The strains occurs due to the fact that, as shown in a previous paper, in presence of flexoelectricity elastic boundary condition has non-classical form.