The object of this work is to provide a displacement correction for the local punching due to an axial loading at the end of a bar. For this purpose, an analytical calculation of the dynamic 3-D indentation of an elastic isotropic semi-infinite bar is carried out. It provides a first-order correction for the displacement obtained through the 1-D wave analysis commonly used in SHPB processing. This correction applies to the displacements as they are calculated at both ends of a specimen sandwiched between the two bars of a SHPB device. It improves the results obtained for the dynamic behavior of the specimen, in particular at early instants of loading.