Dynamic compressive constitutive relation and shearing instability of metallic neodymium

► Dynamic constitutive relation of Nd was determined in first compression of SHPB. ► Deformation of Nd in multi-compression of SHPB were recorded by high-speed camera. ► Constitutive relation of Nd was adjusted in modeling large deformation of Nd. ► Results of SDDM investigation of recovered Nd specimens showed shearing fracture. ► Shearing instability of Nd was estimated with constitutive relation.