A rigid - plastic finite element method for analysing impact problems and high speed metal-forming processes is proposed. In high speed deformations, inertia forces associated with the accelerations due to the change in the speed of a forming machine, or the mass effect of a workpiece, influences the deformed shape and the forming load. A formulation taking the inertia effect into account is made for the rigid-plastic finite element method. By using the developed two-dimensional code, the deformation processes in the collision of a cylindrical bar and a disk-shaped billet with rigid walls are simulated, and it is found that good agreement is obtained between the calculated results and the experimental values. By using the three-dimensional code, the collision of an aluminum square bar is examined and the accuracy of the method is discussed in terms of the time increment between the calculation steps in the stepwise analysis. © 1992 Pergamon Press Ltd.
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