The simulation of crack propagation processes in rock engineering has been not only a research hot spot among scholars but also a challenge. Based on this background, a new numerical method named improved kernel of smoothed particle hydrodynamics (IKSPH) has been put forward. By improving the kernel function in the traditional smoothed particle hydrodynamics (SPH) method, the brittle fracture characteristics of the base particles are realized. The particle domain searching method (PDSM) has also been put forward to generate the arbitrary complex fissure networks. Three numerical examples are analyzed to validate the efficiency of IKSPH and PDSM, which can correctly reveal the morphology of wing crack and the laws of crack coalescence compared with previous experimental and numerical studies. Finally, a rock slope model with complex joints is numerically simulated and the progressive failure processes are exhibited, which indicates that the IKSPH method can be well applied to rock mechanics engineering. The research results showed that IKSPH method reduces the programming difficulties and avoids the traditional grid distortion, which can provide some references for the application of IKSPH to rock mechanics engineering and the understanding of rock fracture mechanisms.

岩石工程中裂纹扩展过程的模拟不仅是学者们的研究热点，也是一个挑战。在此背景下，提出了一种新的数值方法，即改进的光滑粒子流体动力学核（IKSPH）。通过改进传统的平滑粒子流体动力学（SPH）方法的核函数，可以实现基础粒子的脆性断裂特性。还提出了粒子域搜索方法（PDSM）来生成任意复杂的裂隙网络。通过三个数值例子验证了IKSPH和PDSM的有效性，与之前的实验和数值研究相比，它们可以正确地揭示机翼裂纹的形态和裂纹的合并规律。最后，对具有复杂节理的岩石边坡模型进行了数值模拟，并显示了渐进破坏过程，这表明IKSPH方法可以很好地应用于岩石力学工程。研究结果表明，IKSPH方法减少了编程难度，避免了传统的网格畸变，为IKSPH在岩石力学工程中的应用以及对岩石破裂机理的理解提供了参考。