Direct methods for modeling vehicle traffic in the surrounding of a reinforced slope

The dynamic impact of moving vehicles can cause effects leading to landslide processes in slopes. Even insignificant displacements and speeds lead to a relative displacement of the layers. In this case, the physical and mechanical parameters of the soils that make up the slope can change significantly. For example, the decrease in adhesion C may be analogous to the decrease in the force of static friction by the transition to sliding friction. This is due to the fact that the mutual movement leads to slippage of small soil fragments relative to each other. The influence of vehicles on possible landslide processes increases with an obvious tendency to increase the speed and mass of the rolling stock. This, as well as the complex geological structure of the slopes and the need to take into account the reinforcing structures, leads to the need to build refined mechanical and mathematical models for the joint operation of road structures, the slope and the reinforcing structures in a dynamic formulation. The creation of a refined model of the slope geometry, the highway and the slope reinforcement structures are today solved mainly by the finite element method (FEM). The problem of constructing a numerical solution of such problems based on direct methods of integrating the equations of motion is topical. In this case, it is necessary to take into account the change in the distribution of masses when moving vehicles along the road at different speeds. In any of works of the author [1-6], an explicit absolutely stable scheme for integrating the equations of motion of the FEM was used to solve this problem. This article considers testing of the method by comparing numerical solutions with known ones for problems that are simpler in terms of topological structure. Namely, the comparison of the method with the solutions of the classical problem "movement of a massive load along a massive beam" was carried out. V.V. Bolotin's solution [7-9] was adopted as a "reference" one. Numerical solutions showed a high degree of convergence of results by the proposed and "reference" methods.