【摘要】 针对巷道顶板裂隙扩展难预测的问题，采用数值模拟与试验相结合的方法，应用扩展有限元（XFEM）计算裂隙扩展路径，重点分析在外部荷载的作用下，不同裂隙深度和倾角下巷道顶板的裂隙扩展过程、裂尖应力变化以及能量耗散规律。结果表明：裂隙深度的变化对裂隙的扩展与贯通具有一定的导向作用；随着裂隙深度的增加，顶板破坏所消耗的能量会减少，裂隙的起裂时间也会发生滞后；基于XFEM的数值模拟与试验中的裂隙扩展路径基本吻合，同时验证了XFEM能够有效应用于煤矿巷道顶板的扩展模拟，从而为巷道顶板稳定性控制与预防裂隙扩展提供理论依据。更多还原

【Abstract】 In order to solve the problem that it is difficult to predict the crack expansion of roadway roof, use the method of combining numerical simulation with experiment to calculate the crack expansion path by using extended finite element(XFEM), and focuses on the crack expansion process,crack tip stress change and energy dissipation law of roadway roof under different crack depths and inclination angles under external load. The results show that the change of crack depth has a certain guiding effect on the expansion and penetration of cracks; with the increase of crack depth, the energy consumed by roof failure will decrease and the crack initiation time will lag. The numerical simulation based on XFEM is basically consistent with the crack propagation path in the experiment, and it is verified that XFEM can be effectively applied to the simulation of the expansion of coal mine roadway roof, thus providing theoretical basis for the stability control of roadway roof and the prevention of crack propagation.更多还原