Abstract: A hyperelastic-plastic constitutive relation is established based on initial configuration and the second law of thermal dynamics. Total Lagrange equilibrium equations are derived through consistent transformation of the special weak equilibrium equations, after which the central difference method solution formulas of the nonlinear equilibrium equations are given by consisted linearization. An overall meshless method simulation on conical die rods drawing process is performed. These have justified the effectiveness of the finite deformation elastic-plastic meshless method in the properties of materials, reduction ratio, die angle, the frictional coefficient and analysis on unloading rebound of final products

Key words: Elastic-plasticity, Finite deformation, Interface friction, Meshless method