MULTISCALE FINITE ELEMENT METHOD FOR A HIGHLY EFFICIENT COUPLING ANALYSIS OF HETEROGENEOUS MAGNETO-ELECTRO-ELASTIC MEDIA

摘要

In this paper, an efficient multiscale computational method is presented for the coupling field analysis of heterogeneous magneto-electro-elastic media. In this method, the displacement, electric, and magnetic potential multiscale base functions that contain the coupling effects between different physical fields are firstly constructed. By virtue of these numerical base functions, the effective material properties of the heterogeneous media could be reflected to the macroscopic scale. Thus, a single heterogeneous magneto-electro-elastic unit cell can be equivalent into a coarse element and the original multiphysics coupling boundary value problem could be solved on the macroscopic scale directly, which will save a significant amount of computing time and resources. According to the macroscopic solutions, the microscopic mechanical, electrical, and magnetic responses can be further recovered by downscaling computation using the above constructed multiscale base functions. Finally, several numerical examples are carried out to illustrate the effectiveness and correctness of the proposed multiscale method. The comparison between the present results on the macroscopic coarse-scale mesh and those calculated by the standard FEM on the microscopic fine -scale mesh indicates that the proposed multiscale method not only can provide accurate coupling responses of heterogeneous electro-magneto-elastic media but also has high computational efficiency.