Displacement correction for punching at a dynamically loaded bar end

The object of this work is to provide a 3-D displacement correction for local punching due to axial load at the end of a bar. For this purpose, an analytical calculation of the indentation at the end of an elastic isotropic bar subjected to a dynamic loading is carried out. It provides a first-order correction of the displacement obtained through the 1-D wave analysis commonly used in SHPB processing. This correction improves the results obtained for the dynamic behavior of the specimen, in particular at early instants of loading where its response is often purely elastic. Tabulated values are provided for easy use in SHPB testing.