Prediction of peen forming stress and plate deformation with a combined method

To simulate the deformations of the strip peen formed plate more realistic, and using low computational resources, a strategy combining analytical and finite element methods is proposed in this article. First, the internal stresses in the target induced by single shot impact are calculated with expanding cavity model. Second, the stress field of single shot impact is used to derive the stress field of multiple shot impacts by considering the overlaps of adjacent shot impacts. Third, the calculated stress field is introduced to the finite element model to obtain the resultant shape of the plate. The shot dimple distribution in reality is detected and fitted with normal distribution function. The random distribution of the positions of shot impacts is involved in the simulation to make the simulation more realistic. In the finite element model, the plate is modeled with shell element to reduce the demand of the computational resources. The simulated shapes of the plate under different peen forming parameters are compared with the scanned three-dimensional experimental shapes with the same forming parameters. The comparison shows that the simulated shapes are in good agreement with the experiments.