Long-term settlement of foundation subjected to moving train loads based on creep constitutive model

A procedure for calculating the long-term settlement of foundation subjected to moving train loads is proposed on the basis of the creep constitutive model. The excited force associated with the moving train is converted to dynamic stresses on the infinite half-space by using the Mindlin solution. The creep constitutive equations are derived based on the Boltzmann principle of linear superposition, and the integral formation of the equations is then deduced. The long-term settlement of foundation can be calculated by using the proposed equations and the layer-wise summation method. The procedure is verified by the simulation and measured data. The results show that the predicted long-term settlement by the proposed method is in good agreement with the test data. The proposed method simplifies the moving train load, but the effect on predicting the long-term settlement is negligible.