Abstract：Based on the unified strength theory and non-associated flow rule，a whole-process analytical theory for the coupled deformation of deep circular tunnel surrounding rock and prestressed bolts(cables) system is derived，taking into account the strain softening characteristic of rock mass，the yield reinforced characteristics of bolts(cables) and the support timing. An analytical method for calculating the displacement difference of bolts(cables) is proposed，and the necessity of monitoring the elongation rate of bolts(cables) in high-stress tunnels is demonstrated：The displacement difference generated during the coordinated deformation of the bolts(cables) and the surrounding rock provides support resistance，thus the elongation rate safety margin standard can be used to assess the integrity and effectiveness of the support structure during the process of bolts(cables) action in real time. On the basis of verifying the rationality of the analytical theory through numerical simulation using Abaqus，the ground response curves(GRC) under bolts(cables) support with different prestressed，support timing，and intermediate principal stress coefficient are compared and analyzed. The results show that the bolts(cables) can significantly reduce the convergence of surrounding rock. With prestressed bolts support，the GRC exhibits a stepwise drop，which significantly and timely reduces the support force required for the equilibrium of surrounding rock. As the stress is gradually released，the active and passive bolts(cables) enter the stage of low-speed stress increase after yielding，and the GRC of surrounding rock under support of different prestresses gradually converge. The timing of support affects the starting point of the bolts(cables) function. The earlier the support，the more significant the displacement control effect，but it will also lead to a larger elongation rate of the bolts(cables). The intermediate principal stress coefficient reflects the self-bearing capacity of the surrounding rock，and increasing this value can improve the deformation control performance of the surrounding rock under bolts(cables) support as a whole，and reduce the elongation rate through the coupled function of the surrounding rock-bolts(cables) system. This study provides a theoretical and computational method for the analysis of prestressed bolts(cables) support and support structure safety in tunnel engineering，and can provide reference for convergence analysis of circular tunnels in underground engineering.
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2023, Vol. 42 
