A multi-physics coupling cell-based smoothed finite element micromechanical model for the transient response of magneto-electro-elastic structures with the asymptotic homogenization method

Abstract

In this paper, the Cell-based smoothed finite element method (CS-FEM) and the asymptotic homogenization method (AHM) are used to accurately simulate the responses of 1–3 type magneto-electro-elastic (MEE) structure under dynamic load. The dynamic characteristics of micromechanics are discussed. Firstly, the properties of MEE materials at different composition ratios are calculated by AHM. In the next step, the CS-FEM equations for the multi-physics problems are deduced based on the MEE constitutive equations and the effective parameters. The transient reactions of the problem are solved by introducing the modified Wilson-θ approach. To illustrate the precision, reliability and convergence of CS-FEM, four numerical examples of various thin-walled structures are designed, results of CS-FEM are compared with those of the traditional finite element method (FEM) with denser elements. It shows that CS-FEM has higher accuracy, faster convergence speed and higher computational efficiency. This paper has some application value for the design and development of thin-walled intelligent sensors and energy harvesters, etc.