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

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Acta Mechanica Sinica 2016年第1期32卷 112-124页

作者： Yifei Sun Yang Xiao Changjie Zheng khairul fikry hanif 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

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.

关键词： Constitutive model Fractional order Fractional calculus Long-term deformation

A particle-breakage critical state model for rockfill material

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Science China(Technological Sciences) 2015年第7期58卷 1125-1136页

作者： XIAO Yang SUN YiFei hanif khairul fikry Key Laboratory of New Technology for Construction of Cities in Mountain Area Chongqing University College of Civil Engineering Chongqing University Faculty of Engineering and Information Sciences University of Wollongong Faculty of Engineering Computing and Mathematics University of Western Australia

Particle breakage has a significant influence on the stress-strain and strength behavior of rockfill material.A breakage critical state theory(BCST)was proposed to describe the evolution of particle *** breakage critical state line in the breakage critical state theory was correlated with the breakage factor,which was fundamentally different from that of the original critical state theory.A simple elastoplastic constitutive model was developed for rockfill in the frame of *** associated flow rule was adopted in this ***,contractive and distortional hardening rules were suggested in view of the particle *** was observed that the proposed model could well represent the complex deformation behaviors of rockfill material,such as the strain hardening,post-peak strain softening,volumetric contraction,volumetric expansion,and particle breakage under different initial confining pressures.

关键词： rockfill material particle breakage critical state theory hardening rule constitutive model

Compressibility dependence on grain size distribution and relative density in sands

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Science China(Technological Sciences) 2015年第3期58卷 443-448页

作者： SUN YiFei XIAO Yang hanif khairul fikry Faculty of Engineering and Information Sciences University of Wollongong College of Civil Engineering Chongqing University Faculty of Engineering Computing and Mathematics University of Western Australia

A framework of continuum breakage mechanics was used to investigate the dependence of compressibility on grain size distribution(GSD)as well as relative density of *** dependence on GSD was considered by employing a GSD index and relative density dependence was reflected by varying the plastic-breakage coupling *** of the experimental results including isotropic compression and one-dimensional compression of sands with different relative densities and GSDs revealed that sand compressibility increased with the increasing GSD index and plastic-breakage coupling *** coupling angle decreased with increasing relative density,indicating that grains would break more in sand with comparatively high relative density.

关键词： grain size distribution density compression grain breakage thermo-mechanics