Three-dimensional rock fracture induced by blasting is a highly complex problem and has received considerable attention in geotechnical engineering. The material point method is firstly applied to treat this challenging task. Some inherent weaknesses can be overcome by coupling the generalized interpolation material point (GIMP) and the convected particle domain interpolation technique (CPDI). For the media in the borehole, unchanged GIMP-type particles are used to guarantee a homogenous blast pressure. CPDI-Tetrahedron type particles are employed to avoid the fake numerical fracture near the borehole for the rock material. A blasting experiment using three-dimensional single-borehole rock was simulated to examine the applicability of the coupled model under realistic loading and boundary conditions. A good agreement was achieved between the simulation and experimental results. Moreover, the mechanism of three-dimensional rock fracture was analyzed. It was concluded that rock particle size and material parameters play an important role in rock damage. The reflected tensile waves cause severe damage in the lower part of the model. Rayleigh waves occur on the top face of the rock model to induce a hoop failure band.

爆破诱发的三维岩石破裂是一个高度复杂的问题，在岩土工程中受到了广泛的关注。质点法首先应用于处理这一具有挑战性的任务。通过耦合广义插值材料点 (GIMP) 和对流粒子域插值技术 (CPDI) 可以克服一些固有的弱点。对于钻孔中的介质，使用不变的 GIMP 型颗粒来保证均匀的爆破压力。CPDI-四面体型颗粒用于避免岩石材料在钻孔附近的假数值断裂。模拟了使用三维单孔岩石的爆破试验，以检验耦合模型在实际载荷和边界条件下的适用性。模拟和实验结果之间取得了很好的一致性。此外，分析了三维岩石断裂的机理。得出结论，岩石粒度和材料参数在岩石损伤中起重要作用。反射的拉伸波在模型的下部造成严重损坏。瑞利波出现在岩石模型的顶面上，以诱发环向破坏带。