采用强度折减法研究二维和三维边坡的失稳机理。通过大量的算例,分析边界条件、强度参数和坡顶超载的三维效应,并与二维计算方法的结果进行对比,确定二维和三维计算方法的适用范围。数值模拟的计算结果表明,三维效应对滑体宽度很敏感;而对于特定的边坡几何尺寸,三维效应则受无量纲参数c/(γHtanφ)的影响。对于坡顶承受荷载的无限长边坡,边坡失稳模式主要受到荷载的影响。而对于同时受到物理边界和坡顶超载作用的边坡,失稳模式会受到两者的影响;随着荷载长度的增加,边界条件的影响更加显著。进而提出二维和三维的边坡稳定分析图,可以快速、可靠地确定二维和三维安全系数,且不需要任何迭代。最后,基于边坡三维效应和边坡稳定分析图的研究,总结一套简单实用的边坡计算流程,判断何时该采用二维或三维计算方法。
The failure mechanism of two-dimensional(2D) and three-dimensional(3D) slopes were investigated by using the strength reduction method.An extensive study of 3D effect was conducted with respect to boundary conditions,shear strength and concentrated surcharge load.The results obtained by 2D and 3D analyses were compared and the applicable scope of 2D and 3D method was analyzed.The results of the numerical simulation show that 3D effect is sensitive to the width of slip surface.As for slopes with specific geometry,3D effect is influenced by dimensionless parameter c/(γHtanφ).For those infinite slopes with local loading,external load has the major impact on failure mode.For those slopes with local loading and geometric constraints,the failure mode is influenced by both factors.With the increase of loading length,boundary condition exerts a more significant impact on the failure mode,and then 2D and 3D stability charts are developed,which provides a rapid and reliable way to calculate 2D and 3D factor of safety without iteration.Finally,a simple and practical calculation procedure based on the study of 3D effect and stability charts is proposed to recognize the right time to apply 2D or 3D method.