  Flexoelectricity is defined as the coupling between strain gradient and
polarization, which is expected to be remarkable at nanoscale. However,
measuring the flexoelectricity at nanoscale is challenging. In the present
work, an analytical method for measuring the flexoelectric coupling coefficient
based on nanocompression technique is proposed. It is found that the
flexoelectricity can induce stiffness softening of dielectric
nano-cone-frustum. This phenomenon becomes more significant when the sample
size decreases or the half cone angle increases. This method avoids measuring
the electric polarization or current at nanoscale with dynamical loading, which
can be beneficial to the flexoelectric measurement at nanoscale and design of
flexoelectric nanodevices.
