Modelling long-term deformation of granular soils incorporating the concept of fractional calculus

被引：14

作者：

Sun, Yifei ^{[1
]}

Xiao, Yang ^{[2
]}

Zheng, Changjie ^{[3
]}

Hanif, Khairul Fikry ^{[4
]}

机构：

[1] Univ Wollongong, Fac Engn & Informat Sci, Wollongong, NSW 2522, Australia

[2] Chongqing Univ, Coll Civil Engn, Chongqing 400450, Peoples R China

[3] Univ Newcastle, ARC Ctr Excellence Geotech Sci & Engn, Newcastle, NSW 2308, Australia

[4] Univ Western Australia, Fac Engn Comp & Math, Perth, WA 6907, Australia

来源：

ACTA MECHANICA SINICA | 2016年 / 32卷 / 01期

关键词：

Constitutive model; Fractional order; Fractional calculus; Long-term deformation; CYCLE ACCUMULATION MODEL; PERMANENT DEFORMATION; PARTICLE BREAKAGE; SIZE DISTRIBUTION; NUMERICAL-MODEL; GRAVELLY SOILS; BALLAST; SAND; COMPRESSION; DEGRADATION;

D O I：

10.1007/s10409-015-0490-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Many constitutive models exist to characterise the cyclic behaviour of granular soils but can only simulate deformations for very limited cycles. Fractional derivatives have been regarded as one potential instrument for modelling memory-dependent phenomena. In this paper, the physical connection between the fractional derivative order and the fractal dimension of granular soils is investigated in detail. Then a modified elasto-plastic constitutive model is proposed for evaluating the long-term deformation of granular soils under cyclic loading by incorporating the concept of factional calculus. To describe the flow direction of granular soils under cyclic loading, a cyclic flow potential considering particle breakage is used. Test results of several types of granular soils are used to validate the model performance.

引用

页码：112 / 124

页数：13

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