Application of fractional calculus in modelling ballast deformation under cyclic loading

被引：40

作者：

Sun, Yifei ^{[1
]}

Indraratna, Buddhima ^{[1
]}

Carter, John P. ^{[2
]}

Marchant, Timothy ^{[3
]}

Nimbalkar, Sanjay ^{[1
]}

机构：

[1] Univ Wollongong, Ctr Geomech & Railway Engn, Wollongong, NSW 2522, Australia

[2] Univ Newcastle, Fac Engn & Built Environm, Callaghan, NSW 2308, Australia

[3] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

来源：

COMPUTERS AND GEOTECHNICS | 2017年 / 82卷

基金：

澳大利亚研究理事会;

关键词：

Ballast; Constitutive relations; Cyclic loading; Fractional calculus; SURFACE PLASTICITY MODEL; CONSTITUTIVE MODEL; PARTICLE BREAKAGE; RAILROAD BALLAST; NUMERICAL-MODEL; GRANULAR SOILS; BEHAVIOR; COMPRESSION; AMPLITUDE; SIZE;

D O I：

10.1016/j.compgeo.2016.09.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

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. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：16 / 30

页数：15

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