Abstract

In this paper, the unloading behavior is investigated by finite element (FE) analysis for low-velocity frictionless impact between elastic sphere and elastic-perfectly plastic half-space. The material property and impact velocity are varied to cover the elastic-plastic and fully plastic unloading regimes by 301 FE simulations. Based on the FE results, the yield strain is a crucial material property to characterize the unloading law, and spherical residual cavity and Hertzian-type unloading assumptions are validated. By introducing a scalar factor to revise Stronge's geometric similarity, a new unloading model is presented to fast and accurate precut the unloading behavior. The unloading model is validated numerically, experimentally and compared with other unloading models. Its applications combining with loading models are also validated experimentally.

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