Static responses of magneto-electro-elastic structures in moisture field using stabilized node-based smoothed radial point interpolation method

Abstract In the present work, the static magneto-electro-hygro-elastic (MEHE) multi-field coupling problems are investigated by a stabilized node-based smoothed radial point interpolation method (SNS-RPIM). The equilibrium equations of magneto-electro-elastic (MEE) material in moisture field are obtained using G space theory, weakened weak (W2) formulation and constitutive equations of MEE structures. In order to further improve the accuracy of the algorithm, the stable item is introduced into the system stiffness matrix. The influence of the moisture concentration on the elastic coefficient is considered, and the results show that moisture environment could affect the stiffness of the structure and cause a change in its natural frequency. The calculation results of SNS-RPIM and finite element method (FEM) are given to study the effect of moisture load on the structural responses. In addition, it can be seen that the developed method could obtain higher accuracy results than FEM with a small number of nodes. And SNS-RPIM is more robust against mesh distortion, so that problems with complex geometries could be solved well. This article can provide a reference for the design and analysis of MEE devices in moisture environment.