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We present a controlled mode of "topological" displacement of homogeneouspiezo films that arises solely from an inhomogeneous in-plane strain due to aninhomogeneous polarization. For the rotationally symmetric case, we develop atheoretical model that analytically relates the shape of the displacement tothe polarization for the cases of in-plane and out-of-plane polarization. Thisis verified for several examples, and we further demonstrate controlledasymmetric deformations.

A new dimension for piezo actuators: Free-form out-of-plane displacement of single piezo layers