Acta Mechanica Solida Sinica

, Volume 28, Issue 6, pp 647–658 | Cite as

Fractional Order Modelling of the Cumulative Deformation of Granular Soils Under Cyclic Loading

  • Yifei Sun
  • Yang Xiao
  • Khairul Fikry Hanif


To model the cumulative deformation of granular soils under cyclic loading, a mathematical model was proposed. The power law connection between the shear strain and loading cycle was represented by using fractional derivative approach. The volumetric strain was characterized by a modified cyclic flow rule which considered the effect of particle breakage. All model parameters were obtained by the cyclic and static triaxial tests. Predictions of the test results were provided to validate the proposed model. Comparison with an existing cumulative model was also made to show the advantage of the proposed model.

Key Words

cumulative deformation cyclic stress cyclic flow rule fractional derivative granular soil 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2015

Authors and Affiliations

  1. 1.Institute for Mathematics and Its ApplicationsUniversity of WollongongWollongongAustralia
  2. 2.State Key Laboratory of Coal Mine Disaster Dynamics and ControlChongqing UniversityChongqingChina
  3. 3.Key Laboratory of New Technology for Construction of Cities in Mountain AreaChongqing UniversityChongqingChina
  4. 4.College of Civil EngineeringChongqing UniversityChongqingChina
  5. 5.Faculty of Engineering, Computing and MathematicsUniversity of Western AustraliaPerthAustralia

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