Analysis of electromechanical coupling behavior of flexoelectric cylinder in COMSOL
In view of the lack of flexoelectric module in commercial finite element software and the complexity of finite element self-programming numerical simulation of flexoelectric problem,this paper proposes a partial differential equation module(PDE module)in COMSOL software to directly simulate the electromechanical coupling problem considering flexoelectric effect.The correctness of the finite element numerical calculation method is verified by numerical calculation of the flexible electric cylinde r with fixed boundary displacement.In addition,the effects of flexoelectric coefficient and different gradient indexes of materials on the electromechanical coupling of cylinders are also studied.The numerical results show that at the micron scale,increasing the flexoelectric coefficient has little effect on the radial displacement,but has a great influence on the potential and electric displacement distribution inside the cylinder.Increasing the material gradient index has an obvious effect on the electromechanical coupling inside the flexoelectric cylinder.The radial displacement of the cylinder gradually decreases relative to the boundary.The internal potential of the cylinder gradually decreases and then turns into a positive number,while the negative value of the internal potential displacement of the cylinder gradually increases.This work can provide help for the numerical calculation of flexoelectric effect and the design of flexoelectric structure.
flexoelectric effectfinite element analysiselectromechanical couplingCOMSOL multiphysics software