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基于非线性Mohr-Coulomb破坏准则,结合极限分析上限法和拟静力分析法,建立功能方程,推导了地震效应下裂缝边坡的安全系数计算方程。采用数学规划方法,计算了不同参数组合条件下的边坡安全系数值,详细分析了非线性条件下一系列参数对边坡稳定性的影响。研究表明,边坡安全系数随非线性参数和地震效应的增大而减小。对比分析可知,在非线性破坏准则下,裂缝深度较大时,裂缝对边坡稳定性影响显著,且边坡越陡影响越大;当裂缝深度超过某个值后,临界破坏面起始端可能不穿过裂缝最底端,而是从裂缝中间某部位穿过。在地震效应作用下,非线性抗剪强度参数对安全系数影响显著。研究成果进一步完善了裂缝边坡稳定性分析内容,所列图表为边坡的设计与施工提供有益参考。
Based on the non-linear Mohr-Coulomb failure criterion, combined with the upper bound limit analysis method and the quasi-static analysis method, the functional equation is established and the safety coefficient calculation equation of the crack slope under the earthquake effect is deduced. Using mathematical programming method, the slope safety factor values under different combinations of parameters are calculated, and the influence of a series of parameters on slope stability under nonlinear conditions is analyzed in detail. The research shows that the slope safety factor decreases with the increase of nonlinear parameters and seismic effect. It can be seen from the comparative analysis that under the nonlinear failure criterion, the cracks have a significant influence on the slope stability and the steeper the slope when the fracture depth is larger. When the fracture depth exceeds a certain value, the starting end of the critical failure surface may be Not through the bottom of the crack, but through somewhere in the middle of the crack. Under seismic effect, the nonlinear shear strength parameters have a significant impact on the safety factor. The research results further improve the stability analysis of the crack slope. The listed charts provide useful references for the design and construction of the slope.