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研究目的:推导获得深埋圆形富水隧道应力场与位移场分布的弹塑性解析解。创新要点:基于弹性力学厚壁圆筒受均布压力的拉姆解答和Mohr-Coulomb屈服条件,推导了考虑渗流作用和应力释放时含衬砌深埋隧道的弹塑性解,并采用FLAC3D有限差分程序验证了其正确性。研究方法:通过理论分析建立考虑渗流作用和应力释放的含衬砌深埋圆形隧道的解析模型(图1),然后推导了基于Mohr-Coulomb屈服准则的隧道围岩与衬砌渗流场、位移场和应力场计算的弹塑性解析公式,并通过数值模拟程序(图2)验证了推导公式的正确性。重要结论:基于前人研究基础,推导获得了深埋富水隧道应力与位移场分布的理论解析解,并通过数值模拟方法验证了其正确性。该解析解一方面可以用于深埋高水头隧道的预设计,如预测隧道周围的水压力、应力场和位移场分布规律,另一方面可用于校核大型复杂数值模型的正确性。
OBJECTIVE: To derive the elasto-plastic analytical solutions of the distribution of stress field and displacement field in deep circular water-rich tunnels. Key points of innovation: Based on the Ram solution and Mohr-Coulomb yielding conditions under uniform pressure of elastic cylinder wall, the elastic-plastic solution of deep tunnel with lining is considered when considering seepage and stress release. The FLAC3D finite difference program Verify its correctness. Research methods: The analytical model of deep buried circular tunnel with lining considering seepage and stress release is established through theoretical analysis (Figure 1), and then the seepage field, displacement field and surrounding rock mass of tunnel surrounding rock and liner are deduced based on Mohr-Coulomb yield criterion Stress field calculated elastoplastic analytical formula, and through numerical simulation program (Figure 2) verify the correctness of the derivation formula. Important conclusions: Based on the previous research results, the theoretical analytical solution of the distribution of stress and displacement fields in deep water-rich tunnels is deduced and verified by numerical simulation. On the one hand, the analytical solutions can be used to pre-design deep buried high-head tunnels, such as predicting the distribution of water pressure, stress field and displacement field around the tunnel, on the other hand, it can be used to verify the correctness of large-scale complex numerical models.