Abstract

Based on the nonlinear Mohr-Coulomb failure criterion, the upper bound method of limit analysis is used to investigate slope stability by introducing new strength parameters ct and φt. It is assumed that the potential weak zone in the soil layer is a straight line, so the straight line fracture surface is used to study the non-reinforced soil and reinforced soil in this study, and the expression of the stability coefficient Ns of the non-reinforced soil slope is derived. In addition, the calculation equations of the safety factor F, the ultimate slope height H, and the ultimate slope height H of the reinforced soil slope are also derived. The CVX toolbox developed by Stanford University and a MATLAB program developed by the authors are used for illustrations, and good results are obtained. The relationship between the nonlinear parameter m and the limit slope height H, the included angle θ, the new strength parameter φt, the slope stability coefficient Ns, the relationship between the slope angle β and the safety factor F, and the relationship between different reinforcement tensile strength Kt and the limit slope height H are summarized.

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