Modeling and Simulation of Transient Impact Behavior of Elastic-Plastic Beam

Abstract

The transverse spherical impact on an elastic-plastic beam is formulated and investigated herein. Both semi-analytical procedure and finite element (FEM) solution are elaborated. The semi analytical solution combines a finite difference method with the Hertz contact theory. The transient response of impact beams is computed by considering the loaded and unloaded phases. The contact force calculation is based on the model proposed by Stronge. To validate our semi-analytical model, a 3D finite element model has been developed. The comparison between the predictions from the presented semi-analytical and those from the 3D finite element models shows that the semi analytical model achieves very accurate predictions at a marginal computational time.