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Important aspects in the formulation of solid–fluid debris-flow models. Part I. Thermodynamic implications

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Abstract

This article points at some critical issues which are connected with the theoretical formulation of the thermodynamics of solid–fluid mixtures of frictional materials. It is our view that a complete thermodynamic exploitation of the second law of thermodynamics is necessary to obtain the proper parameterizations of the constitutive quantities in such theories. These issues are explained in detail in a recently published book by Schneider and Hutter (Solid–Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context, 2009), which we wish to advertize with these notes. The model is a saturated mixture of an arbitrary number of solid and fluid constituents which may be compressible or density preserving, which exhibit visco-frictional (visco-hypoplastic) behavior, but are all subject to the same temperature. Mass exchange between the constituents may account for particle size separation and phase changes due to fragmentation and abrasion. Destabilization of a saturated soil mass from the pre- and the post-critical phases of a catastrophic motion from initiation to deposition is modeled by symmetric tensorial variables which are related to the rate independent parts of the constituent stress tensors.

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Authors and Affiliations

  1. Bergstrasse 5, 8044, Zurich, Switzerland

    Kolumban Hutter

  2. Heinrich-Fuhr-Str. 3, 64287, Darmstadt, Germany

    Lukas Schneider

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  1. Kolumban Hutter
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  2. Lukas Schneider
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Correspondence to Kolumban Hutter.

Additional information

Communicated by S. Roux.

Dedicated to Professor Dr.-Ing. Krzysztof Wilmański on the occasion of his seventieth birthday.

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Hutter, K., Schneider, L. Important aspects in the formulation of solid–fluid debris-flow models. Part I. Thermodynamic implications. Continuum Mech. Thermodyn. 22, 363–390 (2010). https://doi.org/10.1007/s00161-010-0153-x

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  • DOI: https://doi.org/10.1007/s00161-010-0153-x

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