网格无关的盾构管片面-面接触模型及接缝力学行为研究

MESH-INDEPENDENT SURFACE-SURFACE CONTACT MODEL AND MECHANICAL BEHAVIOR OF SEGMENTAL JOINT IN SHIELD TUNNEL

  • 摘要: 接缝处的接触面长度和接触刚度等对拼装式盾构隧道衬砌结构的承载能力和力学行为有着十分显著的影响。盾构管片接缝处常用的传统面-面接触模型呈现出十分明显的网格相关性,较大削弱了数值试验的实用价值。利用数值流形方法(NMM)不需要划分边界相适应计算网格的优点以及强大的不连续-连续统一分析能力,该文建立了可以自然模拟盾构隧道在接缝位置不连续的NMM数值模型,提出了基于虚拟薄层的管片接缝接触模型,并给出了固定积分点位置的虚拟薄层单元生成算法和接触迭代算法。该模型原理简单、数值实施方便、计算结果稳定,良好克服了计算结果的网格相关性,计算结果与足尺接头试验的对比表明了该文方法的有效性和正确性。在此基础上,进一步研究了接触面长度对隧道管片接缝力学行为及转动刚度的影响。研究结果表明:随着实际有效接触面长度的减小,接缝内侧张开位移及转角呈指数级增加,接缝转动刚度也大幅减小,故在盾构隧道设计与施工过程中要注意管片间的接触长度和拼装精度,并分析验算实际接缝刚度。

     

    Abstract: The length and stiffness of contact surface at joints have significant effects on the bearing capacity and mechanical behavior of the shield tunnel lining. The conventional surface-surface contact model for segmental joint of shield tunnel shows obvious mesh dependency, which greatly weakens the application of numerical test in practical engineering. With the advantages of the numerical manifold method (NMM) that the mesh is not required to compatible with the geometric physical lines and its powerful unified analysis ability for discontinuous-continuous simulation, the NMM model for segmental joint is established, which can achieve a natural simulation for the discontinuity of shield tunnel lining at joints. Meanwhile, a novel contact model based on virtual-thin-layer (VTL) is proposed for segmental joint, including the generation algorithm for VTL elements with fixed integral points and the nonlinear iterative process for simulating the contact surface. The proposed method features concise algorithm, convenient numerical implementation and stable calculation results, which effectively avoids the mesh dependency. The comparison between the numerical results and the full-scale segmental joint experiment illustrates the efficiency and correctness of the proposed approach. On this basis, the influence of the length of contact surface on the joint mechanical behavior and the rotational stiffness of shield tunnel is further illustrated. The results show that with the decrease of the actual effective contact length, the opening displacement and rotation angle increase exponentially, and the rotational stiffness decreases significantly. Therefore, in the design and construction process of shield tunnel, attention should be paid to the contact length of segments and its assembling precision, and the actual joint stiffness should be analyzed and checked carefully.

     

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