Lower Bound Shakedown Limit Analysis of Slab Railway Tracks: Numerical Approach

Abstract

A procedure for analyzing the shakedown limit load of non-ballasted railway tracks is presented. The shakedown theory is formulated based on the Melan’s shakedown lower bound theorem for frictional soils, i.e., adopting the Mohr–Coulomb yielding criteria. The shakedown analysis is enlarged regarding the solutions presented by other authors by incorporating the at-rest stress state in the ground. The 3D cyclic stresses induced by the train passage are computed using an efficient numerical model based on the 2.5D approach. The designed model is then used to perform a numerical study where it is concluded that the increase in the train speed up to the critical speed of the track-ground system is responsible for a significant decrease in the shakedown limit load. Moreover, it is shown that neglecting the at-rest stress state in the ground gives rise to a strong underestimation of the shakedown limit load and that train geometry plays a relevant role in the estimation of the shakedown limit load.