Coupled multi-physical cell-based smoothed finite element method for static analysis of functionally grade magneto-electro-elastic structures at uniform temperature

摘要

A coupled multi-physical cell-based smoothed finite element method (CPCS-FEM) which took account into the coupling effects among elastic, electric, magnetic and thermal fields was proposed to investigate the static behavior of functionally grade magneto-electro-elastic (FG-MEEs) structures under thermal conditions. The proposed CPCS-FEM integrating the standard FEM with gradient smoothing possessed many important features and properties, including the simplified computation (the process of calculating shape functions derivatives was replaced by computing outward normal); arbitrary element shape usage; strong mesh distortion and large deformation issues handling ability. The accuracy, convergence and effectiveness of CPCS-FEM were verified through several numerical examples. With CPCS-FEM the temperature influence on generalized displacements (w- and v- direction displacement components U-w and U-v, electric potential Phi and magnetic potential phi) of FGMEEs structures were explored. The effect of the index factor was simulated through a comparative study. This study offers an efficient technique to model the complex multi-physical problem, and the simulation results can significantly contribute to enhancing the performance and applicability of MEE-based intelligence structures under thermal conditions.