Massive metal forming process simulation based on rigid/visco-plastic element-free Galerkin method

The advantages of meshless method are analyzed. Applications of meshelss method in numerical simulations of metal forming processes are summarized. The element-free Galerkin method based on the hypothesis of the rigid/visco-plastic material is introduced. Using the incomplete generalized variational principle and employing penalty function method to introduce volume constancy, the stiffness matrix equation is established. The meshless analysis techniques for metal forming processes with arbitrarily shaped die, such as the description of dies or workpieces with arbitrarily shaped boundary, iteration convergence criterions and detachment and contact criterion, are developed. The phenomenon of volumetric locking and pressure oscillation is released. The rigid/visco-plastic element-free Galerkin method nalysis of the non-steady metal forming processes with arbitrarily shaped dies is realized. The simulation results of the meshless method are in agreement with those obtained by using the rigid/visco-plastic FEM, and the effectiveness of the model and key techniques is verified.