Prediction of long-term subgrade deformation under cyclic loadings with the implicit-explicit transition method using finite elements

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Calculating accumulated soil deformation caused by millions of cyclic loadings with finite element simulating calculation is usually limited by storage space and physical error accumulation. The implicit method with which the constitutive relation of soil can be well described in fact cannot satisfy the finite element calculation on millions of times of cyclic loadings. With the research on the long-term deformation of soil under cyclic loadings, it is evident that this process has a similar character with the process of creep deformation of materials. In addition, the two experience expressions describing the two deformation process are also analogues. Based on these, a new idea to forecast soil deformation under high accumulated cyclic loadings is proposed in this paper. With this idea, the time-wasting and space-wasting problems in finite element calculation implementation is solved. Comparing the finite element calculation results and the dynamic triaxial experiment results, the accuracy of the idea is proved. With the comparison between the practical measured results of detection on highspeed railway section and finite element calculation results, the idea is further proved that it can represent the regularity and tendency of soil deformation under long-term cyclic loadings on a high-speed railway.