Application of fractional calculus in modelling ballast deformation under cyclic loading

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• 作者：Yifei Sun ; MSc (Hohai)^a ; ^{ys910@uowmail.edu.au} ; Buddhima Indraratna ; PhD (Alberta) ; FTSE ; FIEAust ; FASCE ; FGS ; DIC ; CEng ; CPEng^a ; ^{indra@uow.edu.au} ; John P. Carter ; PhD ; DEng (Sydney) ; AM ; FAA ; FTSE ; FIEAust ; MASCE ; CPEng ; GAICD^b ; Timothy Marchant ; PhD (Adelaide) ; FAustMS^c ; Sanjay Nimbalkar ; PhD (IIT-Bombay)^a
• 关键词：Ballast ; Constitutive relations ; Cyclic loading ; Fractional calculus
• 刊名：Computers and Geotechnics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：82
• 期：Complete
• 页码：16-30
• 全文大小：1668 K
• 卷排序：82

文摘

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.