Geomechanics and Engineering

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Fractional model and deformation of fiber-reinforced soil under traffic loads

  • Jiashun Liu (School of Civil Engineering, Liaoning Technical University) ;
  • Kaixin Zhu (School of Civil Engineering, Chongqing University) ;
  • Yanyan Cai (Tunnel and urban underground space engineering technology research center, Huaqiao University) ;
  • Shuai Pang (School of Civil Engineering, Liaoning Technical University) ;
  • Yantao Sheng (School of Civil Engineering, Liaoning Technical University)
  • Received : 2024.08.14
  • Accepted : 2024.09.27
  • Published : 2024.10.25
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Abstract

Traffic-induced cyclic loading leads to the rotation of principal stresses within pavement foundations, challenging accurate simulation with conventional triaxial testing equipment. To investigate the deformation characteristics of fiber-reinforced soil under traffic loads and to develop a fractional-order model to describe these deformations. A series of hollow cylinder torsional shear tests were conducted using the GDS-SSHCA apparatus. The effects of fiber content, load frequency, cyclic deviatoric stress amplitude, and cyclic shear stress amplitude on soil deformation were analyzed. The results revealed that fiber content up to 3% enhances soil resistance to deformation, while higher fiber content reduces it. Axial cumulative plastic deformation decreases with higher load frequencies and increases with higher cyclic stresses. The study also found that principal stress rotation exacerbates soil deformation. A fractional integral model based on the Riemann-Liouville operator was developed to describe the axial cumulative plastic strain, with its validity confirmed by supplementary tests. This model provides a scientific basis for understanding foundation deformation under traffic loading and contributes to the development of dynamic constitutive soil models.

Keywords

Acknowledgement

This work was supported by the National Natural Science Foundation of China (Grant No. 52374091, 52104088, 51978292), the China Postdoctoral Science Foundation (Grant No. 2022M713383), the Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering (Grant No. SKLGME022021), the Foundation of Liaoning province Department of Education (Grant No. LJKZ0361) and. The authors gratefully acknowledge the helpful comments made by the reviewers.

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