A multi-physics overlapping finite element method for band gap analyses of the magneto-electro-elastic radial phononic crystal plates

In this work, a novel magneto-electro-elastic (MEE) radial phononic crystal (PnC) plate is proposed for the vibration and noise reduction in rotationally symmetric structures. To efficiently predict the structural responses, a multi-physics overlapping finite element method (OFEM) model is suggested for the simulation of the intelligent MEE-based PnCs. The bilinear polynomials and the trigonometric functions are utilized as basis functions to mimic the local behaviors of structure vibration. The numerical performance of the coupling MEE OFEM dynamic model is examined first from two numerical tests. In detail, the computation accuracy, efficiency, and stability of the OFEM are investigated by comparing them with those of the traditional finite element method. Based on the numerical tests, the superior behaviors of the OFEM in the dynamic analysis of MEE-based structures are proven. Then, the radial wave band gap property of the proposed PnC plate is evaluated using the effective OFEM. The phononic band gap for the radial wave is observed, and the impact of structural parameters - specifically, the unit cell width and radial filling factor of the MEE solids - on the band gaps is demonstrated. Overall, these findings can help analysts to develop practical PnCs for various engineering applications.