Abstract：Fully grouted rock bolts interact with surrounding rock in deeply buried circular tunnels under in-situ stress. In order to explore the mechanism of interaction，the action of a rock bolt is simplified as the distributed shear stress along the length of the bolt，and integral equations are established based on the deformation compatibility between the bolt and the surrounding rock. These integral equations are linear to the shear stress on the surface and are difficult to be solved analytically. In this paper，a numerical method is adopted，in which the anchor bolt is equally divided into n segments and the shear stress distribution in each segment is assumed linear. The shear stress at the node of each segment is regarded as the unknown quantity to be determined，and the linear equations of these unknowns can be obtained through the composite trapezoidal integration formula. The results will be precise as long as the value of n is large enough. The axial force acting in the bolt can also be calculated through the results of shear stresses. Then the effects of the length of the rock bolt，the arrangement angle and the parameter of surrounding rock are considered.
吕爱钟，刘宜杰，张晓莉. 圆形隧洞全长黏结锚杆力学分析的解析方法[J]. 岩石力学与工程学报, 2018, 37(7): 1561-1573.
LU Aizhong，LIU Yijie，ZHANG Xiaoli. A theoretical solution for a circular tunnel reinforced by fully grouted rock bolts. , 2018, 37(7): 1561-1573.
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2018, Vol. 37 
