A systematic peridynamics (PD) simulation method for SHPB test is proposed.
Elastic wave dispersion in bond-based PD is analyzed analytically and numerically.
Influence of two PMB constitutive models on the wave dispersion in PD is compared.
Contact-impact algorithm is implemented, and two impact loading methods are compared.
Damage evolution and dynamic fracture of concrete Brazilian disc in SHPB is analyzed.