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

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Abstract

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.

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Authors and Affiliations

  1. Institute for Mathematics and Its Applications, University of Wollongong, 2522, Wollongong, Australia

    Yifei Sun

  2. State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, 400030, Chongqing, China

    Yang Xiao

  3. Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, 400045, Chongqing, China

    Yang Xiao

  4. College of Civil Engineering, Chongqing University, 400045, Chongqing, China

    Yang Xiao

  5. Faculty of Engineering, Computing and Mathematics, University of Western Australia, 6907, Perth, Australia

    Khairul Fikry Hanif

Authors
  1. Yifei Sun
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  2. Yang Xiao
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  3. Khairul Fikry Hanif
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Correspondence to Yang Xiao.

Additional information

Project supported by the National Natural Science Foundation of China (No. 51509024) and the Fundamental Research Funds for the Central Universities (No. 106112015CDJXY200008).

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Sun, Y., Xiao, Y. & Hanif, K.F. Fractional Order Modelling of the Cumulative Deformation of Granular Soils Under Cyclic Loading. Acta Mech. Solida Sin. 28, 647–658 (2015). https://doi.org/10.1016/S0894-9166(16)30006-4

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30006-4

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