Material point method-based two-dimensional cohesive-frictional slope stability analysis charts considering depth coefficient effect

The material point method (MPM) has been increasingly used for slope stability analysis in recent years. However, the factor of safety (FS) cannot be obtained directly by MPM because of, at least partially, the lack of user-friendly commercial software, which brings inconvenience to practical slope stability analysis. This paper develops a new chart method for a fast FS evaluation via the Strength Reduction Method-based MPM (SRM-MPM) so that FS evaluation and large deformation analysis can be conducted within a unified framework. The proposed chart method is developed through establishing the relationship between the dimensionless soil parameter λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{document} and FS obtained by SRM-MPM. The two-dimensional homogeneous slopes with different depth coefficients (D/H) are studied, based on which the accuracy and effectiveness of the proposed method is verified through a system comparison with several available methods in literature. The results show that the proposed chart method is feasible and can be conveniently used for FS evaluation. The D/H has a significant influence on the FS, and the FS decreases monotonically with the increase of D/H.