Modeling flexoelectricity in soft dielectrics at finite deformation

This paper develops the equilibrium equations describing flexoelectric effect in soft dielectrics under large deformations. Previous works have developed related theories using a coupling tensor of mixed material-spatial character. Here, we formulate model terms completely defined material frame, with same symmetries small-strain flexocoupling and leading naturally to objective polarization fields. The energy potential are first expressed deformation polarization, then rewritten electric potential, yielding an unconstrained system fourth order partial differential (PDEs). We further develop theory geometrically nonlinear extensible rods open closed circuit conditions, which examine analytically cantilever bending buckling mechanical electrical actuation. Besides being simple explicit pertinent slender structures, this rod also allows us test our general its numerical implementation B-splines. is robust as it handles electromechanical instabilities materials.