Upper limit analysis method for ultimate bearing capacity of ground foundation adjacent to slope based on asymmetry failure mode

In order to study the bearing capacity of strip footing adjacent to slope, combined with the characteristics of strip footing adjacent to slope in the engineering, the failure mechanism of strip footing adjacent to slope was deeply analyzed on the base of existing researches. Unilateral sliding failure mode with the consideration of the asymmetry failure characteristics of strip footing adjacent to slope was established with the introduction of slip line field theory. Based on the research above, with the upper limit analysis theory, through the construction of a mobile permissible velocity field, the ultimate bearing capacity calculation formula of strip footing adjacent to slope was derived. A new method to determine ultimate bearing capacity of strip footing adjacent to slope was put forward by using the sequential quadratic programming optimization algorithm. Its results were analyzed and compared with current research results. The results show that the method can not only reflect the friction effect between the foundation bottom and subsoil, but also the influence of the distance between the foundation and slope top on the bearing capacity of the strip footing, and the influence of the asymmetry failure characteristics of the strip footing adjacent to slope. The proposed method is reasonable, feasible and superior to other existing methods.