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| A calculation method of active limit support pressure for deep shield tunnels considering principal stress axis rotation |
| ZHANG Mengxi1,DAI Zhiheng1,ZHANG Xiaoqing2,WU Huiming2,FU Zhao1 |
| (1. School of Mechanism and Engineering Science,Shanghai University,Shanghai 200444,China;2. Shanghai Tunnel Engineering Co.,Ltd.,Shanghai 200032,China) |
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Abstract The excavation of shield tunnels usually causes non-uniform settlement,which shows a general law that the farther away from the excavation surface,the smaller the settlement. The non-uniform settlement causes shear stress in the soil,rotates the principal stress axis of the soil and hence,changes the stress state of the soil. Based on the results of early indoor sand soil model tests,theoretical derivation and numerical simulation methods were adopted to study the influence of principal stress axis rotation on the active limit support pressure for deep shield tunnels. Firstly,the influence of the soil arching effect on the limit support pressure was analytically discussed when the tunnel face was local instability and global instability. Then,combined with the traditional Terzaghi loose earth pressure formula,a general solution of the local instability limit support pressure was derived. Further,considering the principal stress rotation of the front soil during the deformation of the tunnel face,a formula of the active limit support pressure for the global instability of the deep-buried shield tunnel face was derived. The limit support pressure gradually increases with increasing the burial depth and tends to be constant while the burial depth ratio is greater than 3. The limit support pressure of the tunnel face decreases with increasing the internal friction angle,while increases with increasing the cohesion. Both the inclination angle of the wedge and the height of the prism have a significant impact on the limit support pressure.
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