Granular　fracture　holds　significant　implications　in　material　mechanics.　However,　the　previous　studies　in　ordinary　state-based　peridynamic　(OSB-PD)　framework　often　neglect　the　internal　crystalline　structure　of　particles　or　only　consider　limited　crystal　orientation.　To　address　this　gap,　a　novel　OSB-PD　model　for　granular　fracture　within　polycrystalline　materials　is　proposed,　in　which　the　periodic　functions　are　incorporated　in　the　PD　strain　energy　density,　taking　into　account　the　inherent　random　orientation　in　cubic　crystals.　By　comparing　energy　density　from　PD　and　the　classical　continuum　mechanics,　four　PD　material　parameters　are　defined.　Moreover,　the　corresponding　surface　correction　method　in　the　global　coordinate　system　is　also　proposed.　Several　numerical　examples　including　fracture　analysis　of　polycrystalline　materials　are　conducted　to　validate　the　effectiveness　of　the　proposed　method.　The　proposed　ordinary　state-based　peridynamic　model　offers　a　fresh　perspective　for　investigating　granular　fracture　behaviors　within　polycrystalline　materials.