Geomechanics and Engineering

Techno-Press (테크노프레스)
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3D stress-fractional plasticity model for granular soil

  • Song, Shunxiang (Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, College of Civil and Transportation Engineering, Hohai University) ;
  • Gao, Yufeng (Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, College of Civil and Transportation Engineering, Hohai University) ;
  • Sun, Yifei (Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, College of Civil and Transportation Engineering, Hohai University)
  • Received : 2019.01.18
  • Accepted : 2019.03.05
  • Published : 2019.03.20
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Abstract

The present fractional-order plasticity models for granular soil are mainly established under the triaxial compression condition, due to its difficult in analytically solving the fractional differentiation of the third stress invariant, e.g., Lode's angle. To solve this problem, a three dimensional fractional-order elastoplastic model based on the transformed stress method, which does not rely on the analytical solution of the Lode's angle, is proposed. A nonassociated plastic flow rule is derived by conducting the fractional derivative of the yielding function with respect to the stress tensor in the transformed stress space. All the model parameters can be easily determined by using laboratory test. The performance of this 3D model is then verified by simulating multi series of true triaxial test results of rockfill.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Central Universities, China Postdoctoral Science Foundation

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