Application of fractional calculus in modelling ballast deformation under cyclic loading

作者:Sun Yifei*; Indraratna Buddhima*; Carter John P; Marchant Timothy; Nimbalkar Sanjay
来源:Computers and Geotechnics, 2017, 82: 16-30.
DOI:10.1016/j.compgeo.2016.09.010

摘要

Most constitutive models can only simulate cumulative deformation after a limited number of cycles. However, railroad ballast usually experiences a large number of train passages that cause history dependent long-term deformation. Fractional calculus is an efficient tool for modelling this phenomenon and therefore is incorporated into a constitutive model for predicting the cumulative deformation. The proposed model is further validated by comparing the model predictions with a series of corresponding experimental results. It is observed that the proposed model can realistically simulate the cumulative deformation of ballast from the onset of loading up to a large number of load cycles.