Steady-state characteristics of the coupled magneto-electro-thermo-elastic multi-physical system based on cell-based smoothed finite element method

Abstract A cell-based smoothed finite element method (CS-FEM) which incorporated the coupling among elastic, electric, magnetic and thermal properties was proposed to characterize the steady-state magneto-electro-elastic (MEE) structures in the thermal environment. Gradient smoothing was introduced into standard finite element method (FEM), to determine the accurate system stiffness. In CS-FEM, when the values of shape functions at the Gaussian integration point were directly utilized, the computation process was simplified; when no mapping procedure was involved, general shape elements could be employed, and mesh distortion and large deformation issues were dealt with more talentedly. CS-FEM could be carried out with customized subroutines in the business software. The accuracy and convergence of CS-FEM were proved through several numerical examples. Effects of clamped-free and clamped-clamped boundary conditions on the generalized displacements in the thermal environment were also determined. The simulation results can significantly contribute to enhancing the performance and applicability of MEE-based intelligence structures in the thermal environment.