节理岩体边坡稳定上限分析方法

Upper bound limit analysis for stability of jointed rock slopes

运用Goodman节理单元和上限分析定理研究节理岩体边坡稳定情况。假设组成岩体的岩块和节理为理想刚塑性且满足Mohr-Coulomb屈服准则,采用Goodman节理单元建立了节理岩体边坡稳定的上限分析有限元格式。通过把外载或自重的载荷乘子作为目标函数,形成了带等式约束的非线性数学规划问题,采用一种无搜索直接迭代算法求解。数值计算结果表明单组节理岩体的节理方向对岩体边坡稳定影响明显。

The stability of a jointed rock slope was investigated by use of the Goodman joint elements and the upper bound limit theorem.The constitutes of rock masses,rock block and joints,were assumed to be perfectly rigidly plastic and to satisfy the Mohr-Coulomb yield criterion.A finite element scheme of the upper bound analysis for the stability of the jointed rock slope was established by means of the Goodman joint elements.By regarding the loading factor of external load or self-weight as the objective function,the nonlinear mathematical programming with equation constraints was formulated,and it was solved by using direct iterative algorithm without searching.Numerical results show that the direction of joints has obvious effect on the jointed rock slopes.