Three-dimensional temperature-dependent thermo-elastoplastic bending analysis of functionally graded skew plates using a novel meshless approach

Abstract

For the first time, three-dimensional (3D) temperature-dependent thermo-elastoplastic bending analysis of functionally graded (FG) skew plates subjected to combined thermal and mechanical loads is presented. A novel truly meshless approach based on the local moving Kriging method is formulated and employed for this purpose. The method utilizes a new correlation function in which the shape parameter does not affect the quality of the moving Kriging interpolation (MKI) shape functions. The von-Mises isotropic hardening theory and the Prandtl-Reuss flow rule are used to describe the plastic deformation. The obtained results are compared with the other existing 3D analytical and numerical results and an excellent agreement is observed. Various numerical examples are provided and the effect of significant parameters including material gradient, skew angle, thickness ratio, and boundary conditions on the nonlinear bending responses of FG skew plates is also studied. Results illustrate that the present meshless approach can provide highly accurate and stable results in the 3D thermo-elastoplastic bending analysis of FG skew plates.