Accurate simulation of the single-particle breakage plays an essential role in studying and understanding the behavior of crushable granular materials. Peridynamics has a significant advantage in the simulation of particle breakage owing to its treatment of discontinuities and fractures. This work simulates the single-particle breakage by peridynamics. The particle breakage patterns and the force-displacement curves are focused under different material point discretization schemes, viz. regular discretization scheme, modified regular discretization scheme, hexahedral element converted disaetization scheme and random-packing discretization. The result shows that the material point discretization scheme has a prat influence on the breakage patterns while less impact on the maximum contact force. Besides, a program for extracting the fragments from the failure bond data is provided to offer an inside vision of breakage patterns. (C) 2020 Elsevier B.V. All rights reserved.