Nonlinear bending analysis of multi-layer hyperelastic plates using RBF

In this paper, a multi-layer hyperelastic square plate under uniformly distributed loading is investigated. The neo- Hookean strain energy function and right Cauchy-Green tensor are considered to derive strains of the plate. Also, the first-order shear deformation plate theory utilized to determine strain-displacement relations. Meshless collocation method based on thin-plate basis function is used to the discretization of the governing equations. Thearc-length continuation algorithm is utilized to solve the nonlinear system of equations. The bending analysis results using meshlesscollocation method (MCM) are compared to those of the finite element method (FEM) Abaqus. The results show that the maximumdifference between MCM and FEM is 0.57% and 3.92% for deflection and in-plane displacement and 0.21% for strain.

Keywords:

Hyperelastic plate , Meshless Collocation Method , Radial basis function , multi-layer plate