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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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