Progressive failure mechanism in one-dimensional stability analysis of shallow slope failures

In many slopes, overstressed zones can develop where the shear stress is larger than the available shear strength. Along a shear surface within a soil exhibiting a strain-softening behavior, the shear displacement increases while the available shear strength decreases. The excess shear stress is transferred from the overstressed zone to the adjacent zones, providing more shear strength. This stress-transferring mechanism induces stress redistribution within the slope and could enlarge the overstress zone. A one-dimensional model that satisfies the strain compatibility and force equilibrium is proposed for the stability analysis of a slope of strain-softening behavior. This paper’s objective is to facilitate the application of this model to estimate stress distribution along the failure surface of a strain-softening slope and thereafter the stability status. The study presents a set of specific solutions to this model by describing and demonstrating procedures to identify the pattern of a stress state and to calculate stress distribution within a one-dimensional, strain-softening slope. The progressive failure mechanism is also investigated by using the proposed approach. As the magnitude of released stress gets large enough, it induces an overstressed zone adjacent to the initial unstable zone and progressive failure develops. The proposed approach is also applied to study the pattern of stress redistribution. It is found that the pattern of stress redistribution is affected by the magnitude of released stress. It is too complex to be reasonably expressed by simple models. Though some limitations exist, the proposed approach serves as a simple tool for a better understanding of the progressive failure mechanism.