Rigid-Plastic Finite Element Simulation of Peening Process with Plastically Deforming Shot.

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To simulate not only plastic deformation of a workpiece but also that of a shot in a peening process, the effect of the interaction between the shot and workpiece in the collision is included in the dynamic rigid-plastic finite element method. In the formulation, the equilibrium equations of nodal forces are solved simultaneously with the boundary condition for velocity at the interface between the workpiece and shot. Both sliding and non-sliding contacts in the interface are dealt with, and the law of Coulomb friction is assumed for the sliding contact. Axi-symmetric plastic deformation in peening of a circular workpiece with a single shot is computed. The calculated shapes of the workpiece and the shot are compared with the experimental ones for the workpiece and a shot made from plasticine whose flow stress is controlled by temperature. It is shown that almost no plastic deformation of the shot occurs under actual shot-peening conditions for steel workpieces when the flow stress ratio of the shot to the workpiece is larger than two.