Constitutive Model for Granular-Fluid Flows Based on Stress Decomposition

  • Xiaogang GuoEmail author
  • Wei Wu
  • Liangtong Zhan
  • Ping Chen
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)


In Bagnold’s description of rheological properties of a solid-fluid suspension, the shear and normal stresses demonstrate linear dependence on the shear rate in the ‘macro-viscous’ regime and quadratic dependence in the ‘grain-inertia’ regime. Based on this pioneering work, a framework for the modeling of solid-fluid flows is proposed in this paper. In the framework, the total stress of the solid phase is decomposed into a frictional term contributed from prolonged contact of solid particles, a viscous term due to the viscosity of interstitial fluid and a inertia term results from particle collisions. A constitutive model for simple-shearing granular-fluid flows is developed based on this framework and verified in the element tests of granular-fluid materials under rapid shear.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Xiaogang Guo
    • 1
    • 2
    Email author
  • Wei Wu
    • 1
  • Liangtong Zhan
    • 2
  • Ping Chen
    • 3
  1. 1.Institute of Geotechnical EngineeringUniversität für BodenkulturViennaAustria
  2. 2.MOE Key Laboratory of Soft Soils and Geoenvironmental EngineeringZhejiang UniversityHangzhouChina
  3. 3.Department of Civil EngineeringZhejiang Sci-Tech UniversityHangzhouChina

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