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A new procedure for ground response curve (GRC) in strain-softening surrounding rock

机译：应变软化围岩中地面响应曲线的新程序

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A new procedure for the ground response curve (GRC) is investigated in strain-softening surrounding rock for a circular opening. The procedure started each step with a radius increment and the analytical solutions of stress and strain in each annulus were presented. The plastic region is divided into a finite number of concentric annuli, whose thickness is uniformly determined by a small radius increment. Combining the equilibrium equation and failure criterion, stress for each annulus can be obtained analytically. The displacement for each step can be calculated analytically through solving the differential equation by invoking flow rule and Hooke's law. The strains for each annulus can be obtained by the strain displacement relationship. In the successive manner, the distributions of stress and displacement can be found. It should be noted that the finial stress and displacement at radial direction are the internal support pressure and deformation at the excavation surface, respectively. By assuming different plastic radii (using a plastic radius increment), GRC, the evolution curve of plastic radii and internal support pressure can be obtained analytically. Some numerical and engineering examples are performed to demonstrate the validity of the proposed procedure. It is shown that the results of the proposed procedure at the tunnel crown are basically consistent with field measuring data. The influence of the annulus number, plastic radius increment and dilation on the accuracy of the proposed approach is investigated. Results show that the solutions are more accurate and the calculation efficiency is higher. (C) 2017 Elsevier Ltd. All rights reserved.
机译：在圆形开口的应变软化围岩中研究了地面响应曲线（GRC）的新程序。该程序以增加半径开始每一步，并给出了每个环中应力和应变的解析解。将塑料区域划分为有限数量的同心环，其厚度由较小的半径增量统一确定。结合平衡方程和破坏准则，可以解析地获得每个环的应力。通过调用流量规则和胡克定律，通过求解微分方程，可以解析地计算每个步骤的位移。每个环的应变可以通过应变位移关系获得。以连续的方式，可以找到应力和位移的分布。应该注意的是，径向应力和径向位移分别是内部支撑压力和开挖表面的变形。通过假设不同的塑料半径（使用塑料半径增量）GRC，可以解析地获得塑料半径的演变曲线和内部支撑压力。进行了一些数值和工程算例，以证明所提出程序的有效性。结果表明，该方法在隧道顶部的计算结果与现场实测数据基本吻合。研究了环数，塑性半径增量和膨胀对所提方法精度的影响。结果表明，该方法更准确，计算效率更高。 （C）2017 Elsevier Ltd.保留所有权利。

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