Limit equilibrium theory-based investigation on the critical tension crack depth in loess slope

Abstract

The presence of tensile cracks on loess slope top surface is of major concern to researchers and engineers, as this phenomenon is typically considered to be an early indication of instability and potential landslides. In this study, formulas for the depth of vertical tensile cracks were derived within the framework of limit equilibrium. A new parameter, the crack depth coefficient, was introduced for evaluating the sensitivity of crack depth to the parameters of slopes. The results indicated that the crack depth coefficient is not only related to the position of the tension crack relative to the slope face, but also closely related to other geometric and mechanical parameters of the slope. In addition, the accuracy of the equation was then verified through application in a case study. Hence, the outcomes of this study are significant for improving stability analyses, instability prediction, and the early warning of instability for such landslides.