Fracture breakage and corner breakage are crucial physical characteristics of calcareous sand that significantly influences its macroscopic mechanical response. However, existing breakage models based on the Discrete Element Method (DEM) struggle to simultaneously capture these two types of failure modes, and since they require newly generated particles to strictly fit within the space of the original particle after breakage, the inevitable gaps between these new particles inevitably result in volume loss within the particle assembly. This compromises the physical consistency and computational accuracy of the results. To address those limitations, this study proposes a Two-Stage Bonded-Replacement Breakage Model (TS-BRBM) based on regular triangulation to simulate both fracture breakage and corner breakage and conducts a series of triaxial compression tests of calcareous sand. The results show that TS-BRBM can effectively simulate the fracture breakage and corner breakage while maintain the mass conservation. Both fracture breakage and corner breakage have an impact on the peak strength of the test, and fracture breakage has a greater impact on the peak strength of the test than corner breakage. For same parameters, the peak strength of the traditional breakage replacement model is lower due to loss of particle volume during breakage, whereas TS-BRBM is more reasonable as it experiences no such loss. The particle shape has a certain influence on the peak strength, and tests show the peak strength of elongated angular particles is higher than that of spherical angular particles. The sedimentation angles have varying impacts on mechanical properties, with little effect in cases involving fracture breakage and corner breakage, but a more pronounced effect when breakage does not occur. This study facilitates a comprehensive consideration of both the fracture breakage and corner breakage characteristics of calcareous sand in engineering practice.
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