An explicit time integration elastic-plastic finite element algorithm for analysis of high speed rolling

A finite element formulation effective in simulating high speed rolling is presented. This formulation accounts for inertia force and requires modest computer primary memory during solution. Unlike static finite element formulations, this algorithm does not require the assemblage, and inversion, of a global stiffness matrix. After spatial discretization and mass lumping, the governing equations are uncoupled. They can be solved node by node with explicit time integration. Sample plane strain simulations of high speed rolling are presented. The results demonstrate the effect of roll speed and material work-hardening on deformation mechanics. The simulation succeeded in quantifying front and rear end deformation of a billet, and the algorithm can be applied to reduce crop loss. The formulation also seems suitable for the analysis of other high speed metalforming processes.