Dynamic analysis of flexoelectric systems in the frequency domain with isogeometric analysis

Abstract

A numerical procedure based on Isogeometric Analysis (IGA) is developed to analyze the dynamic response of flexoelectric systems in the frequency domain. In materials or composites with an effective flexoelectric response, a polarization can be induced by local strain gradients. In general, these effects are small in the static regime. However, larger effects may be induced by dynamic loads, and can be used in energy harvesters converting mechanical vibrations into electrical energy. In this work, the equations describing frequency response of flexoelectric systems under dynamic loads are first described. Then, an IGA discretization procedure is employed to handle the C 1 continuity of the displacement fields. The conditions of both open and close-circuits are formulated. The numer-

Penalty hexahedral element formulation for flexoelectric solids based on consistent couple stress theory

“…These make the element formulas become very complicated and tedious. In addition to the FEM, the isogeometric method [29][30][31][32] and meshless method [33][34][35] have also been applied to flexoelectricity. These methods have advantages in handling the higher order continuity requirements, but experience their own drawbacks such as the inconvenience in imposing the boundary condition and larger support domain than the usual FEM.…”