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

被引：0

作者：

Yifei Sun ^{[1
]}

Yang Xiao ^{[2
]}

Changjie Zheng ^{[3
]}

Khairul Fikry Hanif ^{[4
]}

机构：

[1] Faculty of Engineering and Information Sciences, University of Wollongong

[2] College of Civil Engineering, Chongqing University

[3] ARC Centre of Excellence for Geotechnical Science and Engineering, University of Newcastle

[4] Faculty of Engineering, Computing and Mathematics,University of Western Australia

来源：

Acta Mechanica Sinica | 2016年 / 32卷 / 01期

关键词：

Constitutive model; Fractional order; Fractional calculus; Long-term deformation;

D O I：

暂无

中图分类号：

O347.7 [散体力学];

学科分类号：

080102 ;

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

共 50 条

[1] Modelling long-term deformation of granular soils incorporating the concept of fractional calculus
Yifei Sun
Yang Xiao
Changjie Zheng
Khairul Fikry Hanif
[J]. Acta Mechanica Sinica, 2016, 32 : 112 - 124
[2] Modelling long-term deformation of granular soils incorporating the concept of fractional calculus
Sun, Yifei
Xiao, Yang
Zheng, Changjie
Hanif, Khairul Fikry
[J]. ACTA MECHANICA SINICA, 2016, 32 (01) : 112 - 124
[3] Bounding surface model for granular aggregates incorporating the concept of fractional calculus
Sun Yi-fei
Shen Yang
[J]. ROCK AND SOIL MECHANICS, 2018, 39 (04) : 1219 - 1226
[4] FRACTIONAL ORDER MODELLING OF THE CUMULATIVE DEFORMATION OF GRANULAR SOILS UNDER CYCLIC LOADING
Yifei Sun
Yang Xiao
Khairul Fikry Hanif
[J]. Acta Mechanica Solida Sinica, 2015, 28 (06) : 647 - 658
[5] FRACTIONAL ORDER MODELLING OF THE CUMULATIVE DEFORMATION OF GRANULAR SOILS UNDER CYCLIC LOADING
Sun, Yifei
Xiao, Yang
Hanif, Khairul Fikry
[J]. ACTA MECHANICA SOLIDA SINICA, 2015, 28 (06) : 647 - 658
[6] Fractional Order Modelling of the Cumulative Deformation of Granular Soils Under Cyclic Loading
Yifei Sun
Yang Xiao
Khairul Fikry Hanif
[J]. Acta Mechanica Solida Sinica, 2015, 28 : 647 - 658
[7] Elasto-plastic long-term behavior of granular soils: Modelling and experimental validation
Karg, C.
Francois, S.
Haegeman, W.
Degrande, G.
[J]. SOIL DYNAMICS AND EARTHQUAKE ENGINEERING, 2010, 30 (08) : 635 - 646
[8] Modelling the long-term deformation behavior of polymers
Dallner, C
Ehrenstein, GW
[J]. MATERIALWISSENSCHAFT UND WERKSTOFFTECHNIK, 2003, 34 (01) : 34 - 38
[9] Long-Term Deformation Analysis for a Vertical Concentrated Force Acting in the Interior of Fractional Derivative Viscoelastic Soils
Li, Xiao-mi
Zhang, Qian-qing
Feng, Ruo-feng
Qian, Jian-gu
Wei, Huan-wei
[J]. INTERNATIONAL JOURNAL OF GEOMECHANICS, 2020, 20 (05)
[10] Long-Term Deformation Analysis for a Vertical Concentrated Force Acting in the Interior of Fractional Derivative Viscoelastic Soils
Li, Xiao-Mi
Zhang, Qian-Qing
Feng, Ruo-Feng
Qian, Jian-Gu
Wei, Huan-Wei
[J]. International Journal of Geomechanics, 2020, 20 (05):

← 1 2 3 4 5 →