为尽可能精确求解边坡应变能及位移的上下限解的问题,结合无网格NS-PIM方法与有限元法,求解出了离散精度不同的边坡模型的应变能及位移,快速确定了精确解的分布范围,并依据工程精度要求,进一步细化模型以使计算结果逼近精确解。实例计算表明,NS-PIM方法、有限元方法可分别得到应变能和总体位移的上、下限解,为位移监测分析和边坡稳定性评价提供了良好思路。 In order to solve the upper and lower limit solutions of slope strain energy and displacement as accurately as possible, the strain energy and displacement of slope models with different discrete accuracies are solved by combining the meshless NS-PIM method with the finite element method. Exact solution of the distribution range, and based on the requirements of engineering accuracy, further refine the model to approximate the exact solution. The case study shows that NS-PIM method and finite element method can obtain the upper and lower solutions of strain energy and total displacement, respectively, which provides a good idea for the analysis of displacement monitoring and slope stability evaluation.