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Dynamics of nonlinear thin piezoelectric rods with domain switching

We obtain a model for the non-linear electromechanical motion of piezoelectric rod with domain switching. We assume the piezoelectric body as a continuum with a microstructure given by the effective number of switchable aligned dipoles. As in previous related works, by using suitable mechanical internal constraints and electrical semi-inverse hypotheses, we arrive at a 1D functional. With standard variational techniques then we get 1D equations of motion for the non- linear extension and bending of a piezoelectric rod with domain switching.