3D stability of shallow cavity roof with arbitrary profile under influence of pore water pressure
3D stability of shallow cavity roof with arbitrary profile under influence of pore water pressure
复制标题
孔隙水压力影响下任意剖面浅腔顶板的三维稳定性
DOI：
10.12989/gae.2018.16.6.569
复制
发表时间：
2018
影响因子：
3.2
通讯作者：
Yang X. L.
中科院分区：
文献类型：
--
作者：
Luo W. J.;Yang X. L.
任意剖面浅层空腔的稳定性是岩土工程中的一个难题。本文在极限分析上限定理和Hoek-Brown失效准则的基础上研究了这一问题。将孔隙压力视为作用于岩石骨架的外力，考虑孔隙压力的影响。通过将内部能量耗散等同于外力功来构建目标函数。然后使用拉格朗日变分法来求解该函数。通过将解析解与已发表的研究进行比较，证明了所提出方法的有效性。浅腔和深腔之间的关系也被揭示。得到了椭圆型腔顶的脱离曲线。为了便于工程实践应用，将数值结果制成表格，对隧道设计和顶板稳定性分析具有重要作用。考虑了潜在倒塌的影响因素。从结果中可以直观地看出各种因素对剥离程度的影响。
The stability of shallow cavities with an arbitrary profile is a difficult issue in geotechnical engineering. This paper investigates this problem on the basis of the upper bound theorem of limit analysis and the Hoek-Brown failure criterion. The influence of pore pressure is taken into consideration by regarding it as an external force acting on rock skeleton. An objective function is constructed by equating the internal energy dissipation to the external force work. Then the Lagrange variation approach is used to solve this function. The validity of the proposed method is demonstrated by comparing the analytical solutions with the published research. The relations between shallow and deep cavity are revealed as well. The detaching curve of cavity roof with elliptical profile is obtained. In order to facilitate the application of engineering practice, the numerical results are tabulated, which play an important role in tunnel design and stability analysis of roof. The influential factors on potential collapse are taken into consideration. From the results, the impact of various factors on the extent of detaching is seen intuitively.