Geometrical Nonlinear Analysis of Thin-plate Structure using Particle Method

Abstract

Particle-based solid/structural analyses have been presented. In the particle-based analyses, solid or structure are discretized by particles and there are no meshes like FEM. Then, it is relatively easy to treat large deformation analyses. There are Reproducing Kernel Particle Method (RKPM) or Hermite RKPM (HRKPM) as the generalized formulation of particle-based analyses. In this paper, we perform a basic study to develop the structural element adjusted to nonlinear analysis using combination of these methods. A geometric nonlinear formulation of that the in-plane and the bending deformations are represented by RKPM and HRKPM respectively, is presented.