摘要
为了研究三维非线性岩体强度准则下的圆隧塑性圈力学行为,基于考虑扩容影响的塑性中主应力表达式和三维非线性Hoek-Brown强度准则(GZZ准则),推导了理想弹塑性围岩塑性圈的径向应力方程。利用MATLAB编写有限差分程序,对塑性圈三维应力分布、塑性区半径及考虑扩容影响的围岩塑性圈位移进行计算,通过数据对比验证了计算方法的合理性。研究结果表明:基于GZZ准则计算的应力发展速率较快,扩容对其应力分布影响较弱;考虑三维情况的塑性区半径比二维情况的小,围岩可在较浅深度处达到弹性状态;考虑扩容影响的围岩塑性圈位移明显大于不考虑的情况。
To study the mechanical behavior of tunnel surrounding rock plastic circle under three-dimensional nonlinear yield criterion, a radial stress equation was calculated based on elastic-plastic rock considering the effect of intermediate principal stress with dilatancy and GZZ yield criterion. The 3D stress distribution in plastic ring and plastic radius and the displacement with dilatancy of plastic ring was analyzed by finite difference method written by MATLAB, and the rationality of the calculation method was verified by the data comparison. The results show that the stress calculated by GZZ yield criterion develops more rapidly, and that dilatation has little influence on the stress of the surrounding rock; and that plastic radius based on the three dimensional case is less than that of the two dimensional case, and that elastic state can be achieved at relatively shallow depths; and that the displacement of plastic ring is greater considering the effect of dilatation.
作者
李有钢
俞缙
张建智
陈士海
LI Yougang YU Jin ZAHNG Jianzhi CHEN Shihai(Fujian Engineering Technology Research Center for Tunnel and Underground Space, Huaqiao University, Xiamen 361021, China)
出处
《解放军理工大学学报（自然科学版）》
EI
北大核心
2016年第5期445-452,共8页
Journal of PLA University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(51679003
51374112)
关键词
塑性
HOEK-BROWN准则
中主应力
扩容
非线性
plastic
Hock-Brown yield criterion
intermediate principal stress
dilatation
nonlinear
