Bandgap Analysis of Periodic Composite Microplates with Curvature-Based Flexoelectricity: A Finite Element Approach

A finite element model is proposed permitting prediction of elastic wave bandgaps periodic composite microplates incorporating flexoelectric effect. In this model, we applied curvature-based flexoelectricity and Mindlin plate theories derived a formulation that has been implemented for bandgap analysis. The utilizes three-node triangle with 30 degrees freedom satisfying kinematics assumptions. It based on non-conforming interpolation scheme which provides nodal C1 continuity ensures compatibility flexoelectricity. approach accounts microstructure effects and, owing to the triangular topology, can be used assist design complex microstructures. Validation performed through comparison both analytical numerical models, in effect studied cases demonstrating size dependence.