Evaluation of the transient performance of magneto-electro-elastic based structures with the enriched finite element method

For this evaluation, we employ the enriched finite element method (EFEM) which enhance the finite element procedure with the interpolation cover functions to solve the transient dynamics of Magneto-electro-elastic (MEE) intelligent structures. We demonstrate the transient characteristics of the MEE intelligent structures with the help of the implicit Newmark integration method. The enriched FEM method is on the basics of the traditional FEM in which the traditional FEM shape functions are enriched using the interpolation cover functions. Due to the employment of interpolation cover functions, the higher gradients of a field variable can be captured and the inter-element stress jumps can also be smoothed out. MEE materials are typical materials and possess multi-physical coupling characteristics which can freely realize energy conversion among different physical fields. As pointed out, we evaluate the accuracy and efficiency of the EFEM in dealing with the twodimensional multi-physical coupling issues using the 3-node triangular elements. The results of EFEM in evaluating the multi-physical coupling show a very good agreement with the analytical results. Besides, several typical MEE-based practical examples are considered to illustrate the excellent abilities of the present EFEM compared to the traditional FEM in dealing with multi-physical coupling problems.

Automated summary

The study employs the enriched finite element method (EFEM) to solve the transient dynamics of Magneto-electro-elastic (MEE) intelligent structures, demonstrating their characteristics with the implicit Newmark integration method. The EFEM enhances traditional FEM shape functions with interpolation cover functions to capture higher gradients of field variables and smooth out inter-element stress jumps. Results show a good agreement with analytical results and illustrate the superior abilities of EFEM in handling multi-physical coupling problems compared to traditional FEM.