平面三向应力场中隧洞位移解及变化规律研究

为了揭示复杂应力场中隧洞围岩位移变化规律,基于平面三向应力场中圆形隧洞析解理论,推导了平面三向应力场中隧洞围岩位移解析解,并通过Matlab软件编程,研究了围岩位移随应力场环境的变化规律.结果表明:平面三向应力场中各因素对塑性区半径的影响规律与双向应力场中相似;平面三向应力场中当应力场比例系数λ1=1.0,λ2从1.0...

Analytical Solution and Change Law of Circular Tunnel Surrounding Rock Displacement in Plane Three-directional Stress Field

In order to reveal the evolution law of surrounding rock displacement in complex stress field, based on the analytical solution of surrounding rock stress of circular tunnel in plane three-directional stress field, the analytical solution of surrounding rock displacement was derived, and the change law of surrounding rock displacement with stress field was studied by Matlab programming. Results show that: The influence of various factors on the plastic zone radius in plane three-directional stress field is similar to that in bidirectional stress field. In the plane three-directional stress field, when the stress field proportion coefficient λ₁ =1.0, and λ₂ increases from 1.0 to 3.6 or decreases from 1.0 to 0.35, the surrounding rock displacement distribution shape shows an evolution law of vertical thin waist gourd → similar butterfly → asymmetric butterfly. Moreover, compared with bidirectional stress field, the surrounding rock displacement in the three-directional stress field is not limited to the arch shoulders and arch feet of the tunnel, and the displacement in the different directions of the tunnel may be significantly different. Research results can directly show the variation law of surrounding rock displacement with stress field, and also provide reference for the prevention and control of surrounding rock disaster in similar projects.