Yu Shuyang, Yang Xuekai, Ren Xuhua, Zhang Jixun, Gao Yuan, Zhang Tao
School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China.
College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China.
Materials (Basel). 2023 Mar 27;16(7):2640. doi: 10.3390/ma16072640.
Fissures and holes widely exist in rock mechanics engineering, and, at present, their failure mechanisms under complex compress and shear stress states have not been well recognized. In our work, a fracture mark, , is introduced, and the kernel function of the smoothed-particle hydrodynamics (SPH) is then re-written, thus realizing the fracture modelling of the rock media. Then, the numerical models containing the fissures and holes are established, and their progressive failure processes under the compress and shear stress states are simulated, with the results showing that: (1) the improved SPH method can reflect the dynamic crack propagation processes of the rock masses, and the numerical results are in good agreement with the previous experimental results. Meanwhile, the improved SPH method can get rid of the traditional mesh re-division problems, which can be well-applied to rock failure modeling; (2) the hole shapes, fissure angles, fissure lengths, fissure numbers, and confining pressure all have great impacts on the final failure modes and peak strengths of the model; and (3) in practical engineering, the rock masses are in the 3D stress state, therefore, developing a high performance 3D SPH program and applying it to engineering in practice will be of great significance.
裂隙和孔洞在岩石力学工程中广泛存在，目前，它们在复杂压缩和剪切应力状态下的破坏机制尚未得到充分认识。在我们的工作中，引入了一个断裂标记，然后重新编写了光滑粒子流体动力学（SPH）的核函数，从而实现了岩石介质的断裂建模。接着，建立了包含裂隙和孔洞的数值模型，并模拟了它们在压缩和剪切应力状态下的渐进破坏过程，结果表明：（1）改进后的SPH方法能够反映岩体的动态裂纹扩展过程，数值结果与先前的实验结果吻合良好。同时，改进后的SPH方法能够摆脱传统的网格重新划分问题，可很好地应用于岩石破坏建模；（2）孔洞形状、裂隙角度、裂隙长度、裂隙数量和围压对模型的最终破坏模式和峰值强度都有很大影响；（3）在实际工程中，岩体处于三维应力状态，因此，开发高性能的三维SPH程序并将其应用于实际工程具有重要意义。
