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Thermodynamically consistent modeling of granular-fluid mixtures incorporating pore pressure evolution and hypoplastic behavior

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Abstract

This paper presents a new, thermodynamically consistent model for granular-fluid mixtures, derived with the entropy principle of Müller and Liu. Including a pressure diffusion equation combined with the concept of extra pore pressure, and hypoplastic material behavior, thermodynamic restrictions are imposed on the constitutive quantities. The model is applied to a granular-fluid flow, using a closing assumption in conjunction with the fluid pressure. While the focal point of the work is the conceptional part, i.e. the thermodynamic consistent modeling, numerical simulations with physically reasonable results for simple shear flow are also carried out.

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Author information

Correspondence to Julian Heß.

Additional information

Dedicated to Prof. em. Dr. Dr. h.c. Ingo Müller on the occasion of the celebration of his 80th birthday, 23.12.2016.

Communicated by Andreas Öchsner.

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Heß, J., Wang, Y. & Hutter, K. Thermodynamically consistent modeling of granular-fluid mixtures incorporating pore pressure evolution and hypoplastic behavior. Continuum Mech. Thermodyn. 29, 311–343 (2017). https://doi.org/10.1007/s00161-016-0535-9

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Keywords

  • Müller-Liu entropy principle
  • Debris Flow
  • Hypoplasticity
  • Pore fluid pressure