Transient responses of functionally graded magneto-electro-elastic structures with holes in thermal environment using stabilized node-based smoothed radial point interpolation method

•The behaviour of magneto-electro-elastic medium in thermal environment is analysed.•Distorted meshes could be used to obtain accurate results in the calculation.•The developed method has higher accuracy and excellent convergence.•The established method works well for solving multi-physics coupling problems. In the present work, a stabilized node-based smoothed radial point interpolation method (SNS-RPIM) is proposed for analysing the behaviour of functionally graded magneto-electro-elastic (FGMEE) structures with holes in thermal environment. By introducing the stable item related to the gradient variance of field variables, a close-to-exact SNS-RPIM model is constructed, and the temporal instability of traditional node-based smoothed radial point interpolation method (NS-RPIM) is cured. Several numerical examples validate that SNS-RPIM performs well in efficiency and convergence than finite element method (FEM) and NS-RPIM and could solve magneto-electro-thermo-elastic (METE) multi-physics coupling problems more accurately. It is also found that the position of the holes has a greater influence on the displacement and magnetic potential of the structure and has less influence on the electric potential. This provides a reference for the design and application of FGMEE structures with holes working in thermal environment in practical engineering. [Display omitted]