Flexoelectricity is an electromechanical phenomenon produced in a dielectric material, with or without centrosymmetric microstructure, undergoing non-uniform strain. It characterized by the fourth-order flexoelectric tensor, which links electric polarization vector gradient of second-order strain tensor. Our previous work [H. Le Quang and Q.-C. He, Proc. R. Soc. A 467, 2369 (2011)] solved funda...