Flexoelectricity

Flexoelectricity is a property of a dielectric material whereby it exhibits a spontaneous electrical polarization induced by a strain gradient. Flexoelectricity is not the same as Ferroelasticity.

The electric polarization due to mechanical stress in a dielectric is given by

P_{i}=d_{ijk}\sigma _{jk}+\mu _{ijkl}{\frac {\partial \epsilon _{jk}}{\partial x_{l}}}

where the first term corresponds to the direct piezoelectric effect and the second term corresponds to the flexoelectric polarization induced by the strain gradient.

Here, the flexoelectric coefficient, $\mu _{ijkl}$ , is a fourth-rank polar tensor and $d_{ijk}$ is the coefficient corresponding to the direct piezoelectric effect.

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Introduction to Flexoelectricity

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Flexoelectricity

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