长江科学院院报2018，Vol.35Issue(5)：85-92,102,9.DOI:10.11988/ckyyb.20171106
光滑接触条件下非圆形有压隧洞应力及位移解析解
Analytic Solutions of Stress and Displacement for a Non-circular Pressure Tunnel under Full-slip Contact Condition
摘要
Abstract
In consideration of the mechanical process of support delay,the analytic solutions of stress and displace-ment for a non-circular tunnel subjected to in-situ stress and internal water pressure are derived by using the com-plex variables function under the assumption that the interface between lining and surrounding rock is fully slip.The basic equations for solving the analytic functions of surrounding rock and lining are obtained according to the stress boundary condition along the inner boundary of the lining and the condition of stress and normal displacement conti-nuity along the rock-lining interface. The basic equations can be solved by the power series method,and the stres-ses and displacements in the surrounding rock and lining can be calculated.The analytic solutions are verified by fi-nite element method. An inverted U-shaped tunnel is taken as an example to analyze the distributions of tangential stresses along the excavation boundary, the inner and outer boundary of the lining as well as the normal stresses alongthe rock-lining interface in the presence of different displacement release coefficient, lateral pressure coefficientand internal water pressure.关键词
非圆形隧洞/光滑接触/保角变换/幂级数解法/内水压力/应力解析解/位移解析解Key words
non-circular tunnel/full-slip contact/conformal transformation/power series method/internal water pressure/analytical solution of stress/analytical solution of displacement分类
数理科学引用本文复制引用
尹崇林,吕爱钟,陶钧烨..光滑接触条件下非圆形有压隧洞应力及位移解析解[J].长江科学院院报,2018,35(5):85-92,102,9.基金项目
国家自然科学基金项目(11572126) （11572126）
