ANALYSIS FOR MATERIAL NONLINEARITY WITH NATURAL ELEMENT METHOD

Based on the Voronoi diagram of some nodes, the natural element method constructs a shape function by the natural neighbor interpolation, and its shape functions satisfy the Kronecker delta property, which makes it impose essential boundary conditions easily. From the advantages of a natural element method, we can see the natural element method owns the advantages of both finite element and meshless methods. Based on the material nonlinear constitutive relation, we derived the model of the natural element method for the problem of material nonlinearity. The result of numerical example shows that it is rationality and feasibility for the model in dealing with the material nonlinear problem, and it is an effective numerical method for solving the material nonlinear problem.