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

作     者：Yifei Sun Yang Xiao Changjie Zheng Khairul Fikry Hanif 

作者机构：Faculty of Engineering and Information Sciences University of Wollongong College of Civil Engineering Chongqing University ARC Centre of Excellence for Geotechnical Science and Engineering University of Newcastle Faculty of Engineering Computing and MathematicsUniversity of Western Australia 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2016年第32卷第1期

页      面：112-124页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：financial supports provided by the Fundamental Research Funds (Grant 106112015CDJXY200008) 

主　　题：Constitutive model Fractional order Fractional calculus Long-term deformation 

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 fac- tional calculus. To describe the flow direction of granular soils under cyclic loading, a cyclic flow potential consider- ing particle breakage is used. Test results of several types of granular soils are used to validate the model performance.