当坡顶作用局部荷载时,潜在滑裂面可能不通过坡趾,而是在坡面上发生局部失稳破坏。针对黏聚力随深度线性变化的非均质边坡,引入黏聚力比例因子,推导了坡顶局部荷载作用下非均质边坡极限分析上限法相关计算公式,建立了安全系数与滑裂面起始角、终止角以及临界高度的关联函数,将理论公式转换为多元函数的极小值问题,并给出最优解。主要分析了比例因子和局部荷载对边坡稳定性的影响,结果表明:比例因子对安全系数和滑裂面临界高度影响显著;坡顶局部荷载主要控制着边坡的破坏范围,对边坡的安全系数同样有着一定的影响。
Abstract
In the presence of local load on the top of slope, a potential sliding surface would induce local buckling failure instead of passing through the slope toe. For inhomogeneous slopes of which the cohesion varies linearly with depth, the calculation formula of the upper-bound analysis of inhomogeneous slope under local load is derived by incorporating a scale factor of cohesion, and the correlation function between safety factor and start angle, end angle and height of critical sliding surface is established. The theoretical formula is transformed into the problem of minimum value of multivariate function and the optimal solution is obtained. The influences of scale factor and local load on slope stability are mainly investigated. Results indicate that the scale factor has a significant impact on the safety factor and the critical height of sliding surface. Local load on slope top mainly controls the failure scope, and also affects the factor of safety.
关键词
非均质边坡 /
局部荷载 /
上限定理 /
安全系数 /
临界滑裂面
Key words
inhomogeneous slope /
local load /
upper bound theorem /
safety factor /
critical sliding surface
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